The supersymmetry tag has no wiki summary.
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AGT conjecture and WZW model
In 2009 Alday, Gaiotto and Tachikawa conjectured an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov ...
5
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3answers
290 views
Using supersymmetry outside high energy/particle physics
Are there applications of supersymmetry in other branches of physics other than high energy/particle physics?
8
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1answer
86 views
What evidence do we have for S-duality in N=4 Super-Yang-Mills?
Do we have anything resembling a proof*? Or is it just a collection of "coincidences"?
Also, do we have evidence from lattice gauge theory computations?
*Of course I'm not talking about a proof in ...
6
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2answers
172 views
How to prove quantum N=4 Super-Yang-Mills is superconformal?
I'm especially interested in elegant illuminating proofs which don't involve a lot of straightforward technical computations
Also, does a non-perturbative proof exist?
16
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2answers
299 views
Kähler potential vs full effective potential
In evaluating the vacuum structure of quantum field theories you need to find the minima of the effective potential including perturbative and nonperturbative corrections where possible.
In ...
12
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2answers
160 views
Generalized Complex Geometry and Theoretical Physics
I have been wondering about some of the different uses of Generalized Complex Geometry (GCG) in Physics. Without going into mathematical detail (see Gualtieri's thesis for reference), a Generalized ...
10
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1answer
57 views
N=2 SSM without a Higgs
In arXiv:1012.5099, section III, the authors describe a supersymmetric extension to the standard model in which there is no Higgs sector at all, in the conventional sense. The up-type Higgs is a ...
5
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1answer
25 views
Scaling solutions in context of Denef - Moore
My question is based on the paper Split states, entropy enigma, holes, halos.
What are the scaling solutions discussed on page 49 of the paper ?
It is stated that the equations ${\sum_{j, i\neq ...
3
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1answer
242 views
Basic Grassmann/Berezin Integral Question
Is there a reason why $\int\! d\theta~\theta = 1$ for a Grassmann integral? Books give arguments for $\int\! d\theta = 0$ which I can follow, but not for the former one.
12
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1answer
50 views
Local Fermionic Symmetry
That is perhaps a bit of an advertisement, but a couple of collaborators and myself just sent out a paper, and one of the results there is a little bit surprising. We found (in section 6E) a fermionic ...
12
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2answers
142 views
Topological twists of SUSY gauge theory
Consider $N=4$ super-symmetric gauge theory in 4 dimensions with gauge group $G$. As is explained in the beginning of the paper of Kapustin and Witten on geometric Langlands, this
theory has 3 ...
16
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3answers
93 views
Paper listing known Seiberg-dual pairs of N=1 gauge theories
Is there a nice list of known Seiberg-dual pairs somewhere? There are so many papers from the middle 1990s but I do not find comprehensive review. Could you suggest a reference?
Seiberg's original ...
6
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2answers
339 views
Stablising the Higgs without SUSY
Should the Higgs be found at the LHC, but no supersymmetry (assuming for the sake of argument that the LHC be capable of eliminating all versions of SUSY that are motivated by solving the hierarchy ...
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268 views
BPS states : Mathematical definition
First of all, let me congratulate the theoretical physics community for this site. I am a mathematics student with very little background in phyiscs. The question I want to ask is:
What is the proper ...
13
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2answers
64 views
Uniqueness of supersymmetric heterotic string theory
Usually we say there are two types of heterotic strings, namely $E_8\times E_8$ and $Spin(32)/\mathbb{Z}_2$. (Let's forget about non-supersymmetric heterotic strings for now.)
The standard argument ...
8
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1answer
44 views
Which is the coupling between the photon and the SU(2)xU(1) gauginos, before symmetry breaking?
The photon field is the non chiral piece of SU(2)xU(1), independently of symmetry breaking or not, isn't it?
But before symmetry breaking, each gauge boson has only a chiral gaugino as ...
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1answer
154 views
Question about the parity of the ghost number operator in BRST quantization
Given a Lie algebra $[K_i,K_j]=f_{ij}^k K_k$, and ghost fields satisfying the anticommutation relations $\{c^i,b_j\}=\delta_j^i$, the ghost number operator is then $U=c^ib_i$ (duplicate indices are ...
6
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1answer
324 views
Fundamental particles with spin > 1
I am in undergraduate quantum mechanics, and the TA made an off-hand comment that currently no one knows how to describe fundamental particles with spin > 1 without supersymmetry. I was curious and ...
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Dual Pairs in Four Dimensions
Following the conversation here, I am wondering if anyone knows of an example of dual pair with 4-dimensional N=1 SUSY which relates a non-Abelian gauge theory on one side to a theory with a ...
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1answer
259 views
Does the ruling out of TeV scale SUSY breaking disfavor grand unification?
One of the arguments in favor of TeV scale SUSY breaking is that it leads to the appropriate running of the gauge coupling strengths leading to grand unification, i.e. $k_Y = \frac{5}{3}$ instead of ...
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129 views
Does 4D N = 3 supersymmetry exist?
Steven Weinberg's book "The Quantum Theory of Fields", volume 3, page 46 gives the following argument against N = 3 supersymmetry:
"For global N = 4 supersymmetry there is just one supermultiplet ... ...
13
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1answer
31 views
SuperHiggs Mechanism on different Backgrounds & Compactifications
I've been studying Bagger & Giannakis paper on the SuperHiggs Mechanism found here.
The paper shows how SUSY is broken by a $B_{\mu\nu}$ gauge field background restricted to $T^3$ in $M^7\times ...
21
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1answer
188 views
Vassiliev Higher Spin Theory and Supersymmetry
Recently there is renewed interest in the ideas of Vassiliev, Fradkin and others on generalizing gravity theories on deSitter or Anti-deSitter spaces to include higher spin fields (utilizing known ...
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1answer
269 views
in SUSY, does WW scattering unitarisation needs the higgs boson?
One of the arguments of LHC "win-win situation" is that the scattering of W particles needs to include new terms to preserve unitatity begond 500 GeV or so. In the SM, this is realized by the higgs ...
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Treatment of sbottoms in prospino
Could someone please explain the details of the following "propaganda plot" from the prospino website?
There is one curve for stop pair production $\tilde t \bar {\tilde t}$, and one for general ...
9
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1answer
190 views
Can Fermionic symmetries be fully integrated into geometric deformation complexes or symplectic reduction?
How should a geometer think about quotienting out by a Fermionic symmetry? Is this a formal concept? A strictly linear concept? A sheaf theoretic concept?
How does symplectic reduction work with odd ...
3
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1answer
190 views
Is there a SQCD gluino string, similar to the gluon string?
A gluon string is a particular kind of open string terminated in two particles which are the sources for the field. Is it possible to have a similar arrangement with gluinos? At first glance, it seems ...
10
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1answer
288 views
Why must gluinos be spin 1/2 instead of 3/2?
Is there some condition in the N=1 SUSY algebra telling that the spin of the superpartners of gauge bosons (either for colour or for electroweak) must be less than the spin of the gauge boson?
I am ...
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3answers
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What are the mathematical problems in introducing Spin 3/2 fermions?
Can the physics complications of introducing spin 3/2 Rarita-Schwinger matter be put in geometric (or other) terms readily accessible to a mathematician?
6
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1answer
156 views
About unitarity and R-charge in 2+1 superconformal field theory
How does unitarity require that every scalar operator in a $2+1$ SCFT will have to have a scaling dimension $\geq \frac{1}{2}$ ?
Why is an operator with scaling dimension exactly equal to ...
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0answers
122 views
Argument for quantum theoretic conformality of $\cal{N}=2$ super-Chern-Simon's theory in $2+1$ dimensions -Part 2
This is in continuation to what I was asking here earlier -
Argument for quantum theoretic conformality of $\cal{N}=2$ super-Chern-Simon's theory in $2+1$ dimensions
Or one can look at this ...
4
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1answer
163 views
Argument for quantum theoretic conformality of $\cal{N}=2$ super-Chern-Simon's theory in $2+1$ dimensions
I am using the standard symbols of $V_\mu$ for the gauge field, $\lambda$ for its fermionic superpartner and $F$ and $D$ be scalar fields which make the whole thing a $\cal{N}=2$ vector/gauge ...
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Alejandro Rivero's correspondence: diquarks and mesons as superpartners of quarks and leptons
The idea of “hadronic supersymmetry” originated in the mid-1960s and derives from the observation that baryons and mesons have similar Regge slopes, as if antiquarks and diquarks are superpartners. ...
3
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1answer
197 views
Superpartner for the stress-energy tensor
I would like to understand what is meant when one introduces a generator $G(z)$ as the superpartner of the energy-momentum tensor $T(z)$.
How does one decide that this $G(z)$ should have a ...
5
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1answer
205 views
Parametrisation of general MSSM/SUSY based on collider experiment observables
The full MSSM contains 120 parameters. In SUSY searches, one usually picks a model like MSUGRA which makes a few assumptions and only has 5 free parameters like $m_0$, $m_{1/2}$, ....
Now, I'm ...
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Superfields and the Inconsistency of regularization by dimensional reduction
Question:
How can you show the inconsistency of regularization by dimensional reduction in the $\mathcal{N}=1$ superfield approach (without reducing to components)?
Background and some references:
...
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2answers
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Sterile Neutrinos as Dark Matter
There has been recent activity by astrophysicists to determine whether a fourth flavor of neutrino, a sterile neutrino, exists. It would likely be more massive than electron, muon or tau neutrinos. ...
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1answer
327 views
Seiberg Witten theory
I'm currently reading the Seiberg-Witten paper on $N=2$ supersymmetric Yang Mills pure gauge theory (i.e. no hypermultiplets). I have the following question:
How does one understand that the metric ...
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1answer
160 views
Why are the third generation superpartners lighter than the other sfermions in MSUGRA
In the MSUGRA breaking scenario, the stop particle typically appears at energies reachable at the LHC. Other sfermions, notably the partners of up, down, strange and charm are assumed to be degenerate ...
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1answer
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Definition and difference between the R-symmetry and the $U(1)_R$ internal symmetry
For a general ${\cal N}$ the R-symmetry group is $U({\cal N})$ but for the ${\cal N}=2$ case why is it $SU(2)$ ? I guess it is again different for ${\cal N}=4$. How does one understand this?
One ...
2
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2answers
314 views
Neutralino Dark Matter Detection
Assuming supersymmetry exists and a neutralino is stable, it's often seen as a leading dark matter candidate. What would be expected from the interaction of a neutralino and its anti-particle? Has ...
6
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1answer
354 views
BPS sectors in $\cal{N}=4$ SYM
I am familiar with the idea of a BPS bound as in a lower limit on the mass of supermultiplets given by a certain function of the central charge and when I think of $\cal{N}=4$ SYM I see a complicated ...
6
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1answer
190 views
Are non-supersymmetric GUTs ruled out due to lack of precise gauge coupling unification?
Does there exist any good proposal on how the gauge coupling unification can be fixed in non-supersymmetric GUTs? If not, can we assert that non-supersymmetric GUTs have been experimentally ruled out? ...
3
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1answer
262 views
The superconformal algebra
How does one derive the superconformal algebra?
Especialy how to argue the existence of the operator $S$ which doesn't exist either in either the supersymmetric algebra or the conformal algebra?
...
5
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2answers
427 views
Is there a maximum number of types of elementary particles?
Doing a Google search i found a paper called The maximum number of elementary particles in a super symmetric extension of the standard model.
It claims in the abstract that the upper bound is 84 (i ...
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1answer
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Why is there more analysis of short multiplets compared to long multiplets?
In theories with extended supersymmetry, both short and long multiplets exist. For some reason or other, short multiplets are studied more often. Why? What's wrong with long multiplets?
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An unfamiliar way of writing supersymmetry transformations
This question is in relation to this recent paper.
I would like to know how the so called supersymmetry transformations at the start of page 27 or at the end of page35 (equation 8.4) or at the end ...
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644 views
What does “soft” in “soft symmetry breaking” mean?
For example it is stated that if supersymmetry breaking is soft then stability of gauge hierarchy can be still maintained.
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Decay of SUSY particles
In discussion of LHC searches for SUSY particles, physicists seem to assume they will decay quickly to the lightest SUSY particle which then remains stable (at least within the time it takes to leave ...
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1answer
323 views
Katz and Vafa's work on F-theory
I would like to know about the larger picture, current state and future prospects of the sequence of papers that were written by Sheldon Katz and Cumrun Vafa on F-theory. (Freddy Cachazo was also a ...
