Questions tagged [supergravity]

Supergravity is a classical supersymmetric unification theory. It appears in low-energy classical limits of string-theory.

Filter by
Sorted by
Tagged with
0
votes
0answers
27 views

Recommendation for supegravity in 10D

Is there a good book/review, concerning supergravity in 10 dimensions, which ideally also discusses some solutions like the $AdS_5\times S^5$ solution, or the Janus throat? The main resource I know is ...
2
votes
0answers
57 views

Why does invariance commute with partial derivative?

This question applies more generally to actions, but I am going to ask it for a specific example. I am getting confused when considering the invariance of the superstring action under Weyl ...
1
vote
0answers
61 views

String quantum cosmology

In canonical quantum gravity we have Wheeler–DeWitt equation and we can chose homogeneous and isotropic ansatz (it kills many problems) to describe quantum universe. In string theory, as I understand,...
3
votes
0answers
42 views

Tadpole cancellation condition for $C_4$ in Type IIB Supergravity theory

In the following I use Polchinski's notation. Type IIB Supergravity action (with non-vanishing fluxes & $\rm{D3}$-branes) contains \begin{align} S_{\mathrm{IIB}} &= S_{\mathrm{NS}} + S_{\...
0
votes
0answers
35 views

String Landscape, De Sitter vacua and Broken Supersymmetry

If we assume that the swampland conjectures, etc. regarding de sitter vacuas existence in the string / F-theory landscape turn out to be incorrect (and therefore we can assume the problem is well-...
1
vote
1answer
24 views

General expression for a Scalar Superfield with ${\cal N = 1}$ in $D = 10$

I need to write explicitly the most general form of a scalar superfield in 10 dimensions up to second order in grassman variables $\theta^\alpha$. I know that up to first order one can write \begin{...
1
vote
2answers
85 views

Gauge theory formalism

Source: Chapter 11 of Freedman and Van Proeyen’s supergravity textbook An infinitesimal symmetry transformation is determined by 1) a parameter, call it $\epsilon^A$, and 2) an operation, call ...
0
votes
1answer
62 views

General gauge algebra identity

In https://arxiv.org/abs/1011.1145 the following rather general gauge algebra identity (2.4) is used $$\delta_{gct}(\xi) B_\mu^{\>\>A} + \xi^\lambda R_{\mu\lambda}^{\quad\! A} -\sum_{\{C\}}\...
2
votes
1answer
106 views

What is the $R$-symmetry group for ${\cal N}=6$ supergravity in $D=4$ dimensions?

What is the $R$-symmetry group for ${\cal N}=6$ supergravity in $D=4$ dimensions?
-2
votes
1answer
81 views

How Quintic 3-fold is a Calabi–Yau manifold and has non-vanishing Ricci scalar?

It’s well known that quintic 3-fold is a Calabi-Yau manifold in the complex projective space $\mathbb{CP}^{n+1}$ , see for instance: https://en.wikipedia.org/wiki/Quintic_threefold Now the main ...
1
vote
0answers
45 views

Gravity and complex numbers

In the lectures of Gary Gibbons on Supergravity held 2009@DAMTP http://www.damtp.cam.ac.uk/research/gr/members/gibbons/gwgPartIII_Supergravity.pdf it is remarkable that when he introduces spinors he ...
0
votes
0answers
38 views

Describing Calabi–Yau 3-fold

Background: In Calabi-Yau 3-fold, the Kähler metric is given in terms of the Kähler potential $\kappa$ : $ g_{i\bar{j}} = \partial_i \partial_{\bar{j}} \kappa$, where $i, \bar{j}$ = 1,2,3 $ ( the ...
0
votes
0answers
31 views

Explicit form for Calabi–Yau’s Kähler potential

Is this paper: Hierarchies from Fluxes in String Compactifications equ: A.9 $ \partial_\alpha \kappa = - k_\alpha$, where $\alpha =1, ..., h_{2,1} $ What are $ k_\alpha$ ? I’m trying to find an ...
2
votes
0answers
61 views

Holographic duals of (super)gravity sigma models

Consider a (super)gravity theory on asymptotically AdS spacetime $N$ with fixed conformal boundary $\partial N$ coupled to scalars $\phi_i$ taking values in a manifold $M$, possibly in addition to ...
2
votes
0answers
37 views

Toroidal compactifications of type IIB string Theory and $SO(5,5)/(SO(5)\times SO(5))$ invariant 6D sugra action

It is usually stated that the compactification of (the bosonic part of the) type IIB ($D=10$, ${\cal N}=(2,0)$) supergravity on $\mathbb{T}^4$ gives a six-dimensional ${\cal N}=(4,4)$ supergravity ...
1
vote
1answer
90 views

Gravitino Equation of motion in second-order formalism

In Freedman and Proeyen's text on supergravity they derive the equation of motion for the gravitino using the second order formalism. However, I'm not exactly clear as to how they use partial ...
1
vote
0answers
20 views

Determination of Torsion constraints in ${\cal N} = 1$, D = 10 Superspace

For the on-shell theory, containing the graviton $e_m^{\ \ \ a}$, gravitino $\psi_m^{\ \ \ \alpha}$, dilaton $\phi$, dilatino $\lambda$ and 3-form $H_{n m p}$, one has to demand that the SUSY algebra ...
2
votes
0answers
93 views

Supergravity and Gamma Matrices

On page 101 of Freedman and Van Proeyen's book on Supergravity they find the propagator of the gravitino, however I'm not sure how to work through the steps in (5.30), and hints or answers would be ...
1
vote
0answers
32 views

What is a global limit in gauged supergravity?

Does anyone know what a global limit (rigid limit), where the gauge coupling constant is zero, in gauged supergravity is?
1
vote
1answer
95 views

IIB Supergravity from worldsheet (super)conformal invariance of Green-Schwarz string

After reading this question How are low energy effective actions derived in string theory? I began to wonder what is the coupling of the string to the other sugra fields. In almost all textbooks ...
2
votes
4answers
127 views

Why are photons particles and waves, instead of particles that simply move in a wave pattern?

I understand the double slit experiment, but even with the results, why are photons determined to be particles and waves at the same time, instead of particles that move in a wave pattern? In bodies ...
1
vote
0answers
55 views

What is the relation between a $D_2$-brane and an $M2$-brane?

I am only familiar with the concept of a $D_2$-brane from a first course in String theory. I would like to learn, at least on a conceptual level, what an $M2$-brane is and what is its relation to the $...
1
vote
0answers
103 views

Why should fermions vanish for a solution of a supergravity theory that preserves supersymmetry?

On p.249 of Freedman and Van Proeyen's Supergravity, the following is stated: "Given the action of a supergravity theory, it is generally useful to search for solutions of the classical equations ...
0
votes
0answers
117 views

Does anyone know how to symmetrize $\gamma$-matrices?

I'm trying to construct the SO(5, 5) $\gamma$-matrices which are real and symmetric. Recently, I have 6 symmetric and 4 antisymmetric $\gamma$-matrices ($6_S + 4_A$ representation). How can I ...
0
votes
1answer
207 views

Einstein Field Equation for a Garfinkle-Horowitz-Strominger theory

Consider a gravitational theory with a dilaton field and the action being given by Charged black holes in string theory (this link contains an erratum in the original paper) \begin{align} S = \int d^...
2
votes
0answers
31 views

What is the high-energy/superstring analogue of wave function?

Chapter 12 of Beckers' book about superstrings and m-theory lists several deep dualities between low energy gauge theories and high energy superstring theories. I am only at the Chapter 2, that is why ...
1
vote
2answers
68 views

What superstring or brane phenomenology can be observed in LHC heavy ion collisions?

What superstring or brane phenomenology can be observed in heavy ion collisions at the LHC energy densities. Of course, I am aware that LHC experiments can constrain the conclusions from the ...
3
votes
1answer
57 views

Relationship between compactification moduli and generations in standard model

The situation I am describing is a $10D$ heterotic string theory which is compactified on a Calabi-Yau to get a $N=1$, $4D$ effective theory. It is mentioned in Ashoke Sen's notes on string ...
1
vote
0answers
75 views

Understanding Moonshine via Heterotic E8xE8 (resubmitted, originally asked on mathematics stack exchange)

Recently I have become familiar with the conjectured relationship of monstrous moonshine and pure (2+1)-dimensional quantum gravity in AdS with maximally negative cosmological constant and, it’s being ...
2
votes
1answer
55 views

What are the main physical consequences of supergravity?

String theory in some limit becomes supergravity. This is the super generalisation of gravity where instead of taking the Poincare symmetry as the local symmetry of spacetime we take the super-...
1
vote
1answer
46 views

Effective low energy actions in string cosmology

I wonder why can SUGRA actions be used in string cosmology, since in some cases they are used to model big bang scenarios (for example the pre big bang scenario in chapter 4 of Gasperini's "Elements ...
6
votes
1answer
233 views

What is a theory of gravity?

Let me introduce this question by noting that my training is in condensed matter physics, and my familiarity with gravity is superficial at best. Hence, this question may be somewhat naive. In ...
0
votes
2answers
110 views

Dual of Kalb Ramond field [closed]

i've been studying string theory for 4 days, i have a Kalb Ramond $B_{(2)}$ of this kind (from a $5^2 _2$ solution [1]) and i want evaluate its dual but i don't obtain the right result: The variables ...
-1
votes
1answer
64 views

Can we gauge away curvature in supergravity?

In locally supersymmetric theories we can make a supertransformation which rotates one field into another. With enough supersymmetries could one not make a supertransformation at each point which made ...
5
votes
0answers
85 views

Are there any SUSY black holes in D > 5?

Quoting from arXiv:0801.3471 Asymptotically flat BPS black hole solutions are known only for $d = 4,\,5$. and I've seen this claim very timidly suggested in a couple of other places, but I couldn'...
3
votes
0answers
95 views

Constraint equation for Einstein-Hilbert action in Light-cone gauge

In Light cone coordinate system $(+,-,i)$, where $i=1,2$, the light cone coordinates are defined as $x^{\pm}=\frac{x^0 \pm x^3}{\sqrt{2}}$, if we consider the $+$ coordinate to be our "timelike" ...
1
vote
0answers
49 views

Would N=8 Supergravity solve quantum gravity if it was finite?

If N=8 Supergravity turned out to be finite to all loops in Feynman diagrams, would it be a complete theory of quantum gravity? Some people have said that a theory like loop quantum gravity is needed ...
0
votes
0answers
75 views

Do 11D SUGRA fields exist at the fundamental level of M theory?

The M branes in M theory are a configuration of the fields of 11D sugra, but sugra is a low energy limit of M theory. So do these fields exist at the fundamental level of the theory, and if not, what ...
3
votes
0answers
123 views

D-brane worldvolume actions: Where are the Fermions?

I am studying D$p$-brane polarization (Myer's effect https://arxiv.org/abs/hep-th/9910053) and brane-flux annihilation (KPV mechanism, https://arxiv.org/abs/hep-th/0112197). There is little to no ...
2
votes
0answers
45 views

Anomalous curvature coupling corrections for $Dp$-branes worldvolume actions

The Chern-Simons term of an (abelian brane) is commonly written as $$ \sim\int_{\mathcal M_{p+1}}\sum_iC_{i}[e^{2\pi\alpha'F+B}], $$ where $C_i$ is the background Ramond-Ramond $i$-form, $F$ is the ...
3
votes
1answer
121 views

What is meant by the coupling term $g_{\mu\nu}T^{\mu\nu}$ in Supergravity?

In the "Cambridge Lectures on Supersymmetry and Extra Dimensions" of F.Quevedo it is written on page 59 ($T^{\mu\nu}$ stands for the energy-momentum tensor): The metric $g_{\mu\nu}$ as gauge field ...
2
votes
0answers
43 views

New-minimal vs old-minimal supergravity

New-minimal set of supergravity auxiliary fields includes a two-form field, whereas the old-minimal auxiliary set includes a vector and a complex scalar. Is anyone aware of how to transform between ...
3
votes
0answers
88 views

Fuzzy sphere of polarized D0 branes, non-abelian worldvolume action regime validity

I am studying Myer's paper "Dielectric Branes" (https://arxiv.org/abs/hep-th/9910053v2), where it is shown that a stack of D0 branes polarizes into a spherical D0-D2 bound state. The stack of $N$ D0 ...
5
votes
1answer
350 views

Truncation of $D=5$, ${\cal N}=8$ Supergravity by $\mathbb Z_2^3$

The scalar manifold of $D=5, \mathcal N=8$ SUGRA is $$\mathcal M = \frac{E_{6(6)}}{Usp(8)}$$ where $USp(8)$ is a maximal compact subgroup of $E_{6(6)}$ and the 42 scalars of the theory correspond ...
2
votes
0answers
69 views

What is the current status of ${\cal N}=8$ Supergravity among physicists? [closed]

On April 24 2018, Z. Bern et al wrote this https://arxiv.org/abs/1804.09311 A conclusion of this paper is that the 5-loop four-point amplitude of ${\cal N}=8$ supergravity first diverges at $D = 24/5$...
2
votes
0answers
122 views

Why a Christoffel connection is inconsistent with local supersymmetry?

I'm doing an introductory studying on supergravity, and I'm studying in particular on the book Supergravity of D. Z. Freedman and A.V. Proeyen. In this book they describe supersymmetry using Majorana ...
3
votes
0answers
188 views

$D=10$ Type IIB Supergravity action

In this review of SUSY gauge theories and the $AdS-CFT$ correspondence, on Page-29, firstly the Supergravity action for $D = 11$ is written. The authors then say that the action for the Type IIA ...
1
vote
1answer
45 views

Decomposition of $E_6$ into $SO(p,q)$

I've seen the following decomposition of the fundamental representation 27 of $E_6$ into $$E_6 \rightarrow SU(2) \times SO(5,2) \times SO(1,1)$$ $$27 \rightarrow (1,1)(-4) + (1,7)(-2) + (2,8)(+1) + ...
0
votes
0answers
31 views

Higher dimensional supergravity d.o.f

From where do the antisymmetric tensor d.o.f. arises from superpoincare group in 10 and 11 dimensional ${\cal N}=1$ SUGRAs? I mean, beyond the d.o.f. matching. Why it need's to be antisymmetric?
2
votes
1answer
120 views

Which extensions of the Standard model have the inflaton candidates?

Like dark matter and dark energy, there is no candidate of inflaton in the Standard Model (SM) of the particle physics but its various extension does have candidates of dark matter. Does the minimal ...