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Questions tagged [higher-spin]

A theory of interacting fields of arbitrary spin. Generalizes Yang-Mills as a theory of spin-one, gravity as a theory of spin-two to fields of any spin.

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38 views

Appearence of higher spin algebra

I start from massles & free scalar field theory in $d$-dimenisonal space. It is clear that this theory has conformal symmetry. My question is devoted to derivation of conserved current $$J_{\mu_1\...
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Gamma traceless

I read this Under what conditions is a vector-spinor gamma trace free. And also read many papers about higher spin, but no one explains why irreducible spinor is gamma traceless spinor? Can anyone ...
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31 views

Higher spin supersymmetry [duplicate]

Higher spin theories are know to arise in several important areas. Indeed, string theory itself can be thought as certain truncation of higher spin theory. Can non-Vasiliev classical higher spin ...
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48 views

Field degrees of freedom from equations of motion and higher spin

It is my understanding that we compute the number of degrees of freedom of a quantum field as the number of its components minus the number of non trivial equations we get by taking the divergence of ...
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71 views

Are there supersymmetry algebras with higher spinor representations?

The super-Poincare algebra contains supersymmetry generators $Q^I$ which satisfy fermionic anticommutation relations. By the higher-dimensional analogue of the spin-statistics theorem, they must ...
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19 views

Superstrings and supermembranes withouth the maximal spin constraint

Can supermembranes exist in higher dimensional superspaces if we admit higher spin fields?
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204 views

Help with understanding the imposition of gauge conditions

Let $s$ be a positive integer and $h_{a_1\dots a_s}$ be a traceless and totally symmetric (real) field which is defined modulo gauge transformations of the form $$\delta_{\xi}h_{a_1\dots a_s}=\...
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41 views

Is Quantum spin greater than $1$ possible? [duplicate]

I know that fermions have a spin of half of and bosons have a spin of 1 but at many places I have seen that their is written that spin for a boson can be 0,1,2.... Is there any physical meaning of ...
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107 views

Conserved current of $O(N)$ vector model

I was reading a paper by Klebanov and Polyakov, Phys.Lett. B550 (2002) 213, (hep-th/0210114). In the paper, where they are discussing free O(N) vector models, they state that the theory has a class of ...
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1answer
154 views

Supersymmetry beyond $D=11$ spacetime dimensions

Taking into account the higher spin theories, from which string theory is an effective field theory, I just wondering if there is something to do to extend supersymmetry to any dimension without any ...
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1answer
90 views

What is the spin of stringy excitations?

In bosonic string theory, excitations of open strings obey the mass relation $$ M^2 = \frac{N-1}{\alpha'} \,$$ and this seems to imply that such a theory has an infinite tower of massive excitations ...
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1answer
259 views

What is the proper method to obtain the Equations of motion from this higher spin action?

The results I am trying to derive can be found in this paper, appendix B. In class I have only ever dealt with actions that involve a single scalar field so dealing with actions of this form is quite ...
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1answer
174 views

Massive spin-$s$ representations of the Poincare group on the space of spin tensor fields

Context The following is from the book "Ideas and methods in supersymmetry and supergravity" by I.L. Buchbinder and S.M Kuzenko, pg 56-60. It is about realizing the irreducible massive ...
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120 views

Analogue of helicity in higher dimensions and concrete formula

Consider Poincare group $ISO(1,d-1)$ in some dimension $d>4$. There are two Casimirs. Let's look at massless one-particle states: the little group is $ISO(d-2)$, and if we restrict to finite ...
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1answer
114 views

Spins corresponding to anti-symmetric Ramond-Ramond gauge potentials

In string theory there are many anti-symmetric higher rank gauge potentials like $B_{\mu \nu}$ or the Ramond-Ramond potentials (e.g. $C_{\mu \nu \lambda}, C_{\mu \nu \lambda \sigma}$). Since they are ...
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2answers
563 views

A spin zero graviton?

Why can the graviton not be a spin 0 particle? On a similar note why can it not be a spin 4, spin 6 particle?
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1answer
542 views

How does higher spin theory evade Weinberg's and the Coleman-Mandula no-go theorem?

Recently I heard some seminar on higher spin gauge theory, and got some interest. I know there are some no-go theorems in quantum field theories: Weinberg: Massless higher spin amplitudes are ...
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1answer
398 views

Dirac or Schrödinger equation for higher spin?

Given a fermion or boson with an arbitrary integer or half integer spin, then what would be its Dirac or Klein-Gordon equation? Dirac equation for an equation with arbitrary spin 0, 1/2 , 1 , 2 , 3/2 ...
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1answer
248 views

Review of Higher Spin Theory

What is the most comprehensive and up-to-date review of Higher Spin Theory (in particular, in AdS space)?
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120 views

“No-go” theorems and goldstone bosons

There are "no-go" theorems who forbid interaction through soft helicity 3 and higher massless particles and soft interaction between massless fermions with spin more than $\frac{3}{2}$. But if ...
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88 views

Higher spins elementary particles

Lorentz invariance requirement of theory imposes the absense of interactions between spin 3 and higher spins bosons and arbitrary field (like spin $\frac{1}{2}$ fermions etc) at least in infrared ...
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1answer
356 views

Generalized spin connection and dreibein in higher spin gravity

I am studying 3D higher spin gravity and I would like to know the mathematical and physical meaning of generalized spin connection and generalized dreibein that appear in this theory. It is well known ...
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1answer
316 views

Gauge invariance of Rarita-Schwinger action in curved spacetime

The Rarita-Schwinger action in curved $n$-dimensional spacetime is $$ \int \sqrt{g} \overline{\psi}_a \gamma^{abc} D_b \psi_c $$ Here $g = \det(g_{\mu \nu})$, and the indices $a, b \dots$ are '...
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696 views

Green Function for Proca Equation

I have tried to find a retarded and advanced Green function for Proca field equation. $(\Box - \mu^2)A^{\mu}=J^{\mu}$ where $\mu$ is the mass term. How I did it: first: I made Fourier ...
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1answer
105 views

Connection beween infinite gauge symmetries and UV finiteness

In e.g., http://arxiv.org/abs/arXiv:0712.3526 the author claims: Since the massless higher-spin field theories involve infinite-dimensional gauge symmetries, one expects that such theories may be ...
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0answers
460 views

Anomalous dimensions in the $O(N)$ model

Is there any statement known about the anomalous dimensions of the $O(N)$ model in various dimensions and/or in the large-N limit? If a $\phi^4$ ("double-trace") term is coupled to an $O(N)$ model ...
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1answer
473 views

Some questions about the paper, “AdS description of induced higher spin gauge theory”

I am referring to this paper. I guess that in this paper one is trying to relate the massless spin $s$ gauge fields in $AdS_4$ to conformal spin $s$ theory on $S^3$. So am I right that the ...
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2answers
388 views

Star product of two commuting spinors

Ok so this might be a very stupid and trivial question but I have spent a couple of hours on this little problem. I am trying to derive a simple formula in a paper. We have a real commuting spinorial ...
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1answer
1k views

Symmetric transverse traceless tensors of rank $s$ and $(s,0,0,..,0)$ representations of $SO(n)$

Can someone help see this connection as to why a spin $s$ (an Integer) particle is to be thought of as a symmetric transverse traceless tensor of rank $s$ and that they lie in the $(s,0,0,..,0)$ ...
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1answer
219 views

Conserved currents in higher-spin theories

After the proposal of Maldacena (AdS/CFT), there have been numerous attempts to find out gravity duals of various kinds of CFT. Klebanov and Polyakov gave one such correspondence here. The claim is ...
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1answer
841 views

About higher spin gauge theory

I'm going to listen to a talk about Vasiliev's higher spin gauge theory. Before that I want to know more about the background.This is an introduction. Could anybody give a more detailed introduction ...
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536 views

An use of the Schwinger-Dyson equation

I was confused as to how the equation 10 on page 7 or equation 21 on page 8 of this paper http://arxiv.org/abs/1211.1866 was derived. Can someone explain from where does this come and what do the "...
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1answer
367 views

't Hooft limit of coupling fundamental fermions to Chern-Simons theory

This question is in reference to this paper: arXiv:1110.4386 [hep-th]. I would like to know what is the derivation or a reference to the proof of their crucial equation 2.3 (page 12). In their ...
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2answers
20k views

Why do we not have spin greater than 2?

It is commonly asserted that no consistent, interacting quantum field theory can be constructed with fields that have spin greater than 2 (possibly with some allusion to renormalization). I've also ...
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1answer
766 views

Vasiliev Higher Spin Theory and Supersymmetry

Recently there is renewed interest in the ideas of Vasiliev, Fradkin and others on generalizing gravity theories on deSitter or Anti-deSitter spaces to include higher spin fields (utilizing known ...