Perturbation theory of higher-spin conserved currents off criticality

1990 ◽  
Vol 340 (2-3) ◽  
pp. 659-691 ◽  
Author(s):  
Andrea Cappelli ◽  
JoséI. Latorre
Keyword(s):  
Perturbation Theory ◽  
Higher Spin ◽  
Conserved Currents

scholarly journals Characteristic cohomology and observables in higher spin gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexey Sharapov ◽  
Evgeny Skvortsov
Keyword(s):  
Higher Spin Gravity ◽  
Complete Classification ◽  
Gravity Models ◽  
Simons Theory ◽  
Surface Charges ◽  
Higher Spin ◽  
Dynamical Invariants ◽  
Chern Simons ◽  
Conserved Currents

Abstract We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.

Higher spin conserved currents in c = 1 conformally invariant systems

1988 ◽  
Vol 300 ◽  
pp. 637-657 ◽  
Author(s):  
M. Baake ◽  
P. Christe ◽  
V. Rittenberg
Keyword(s):  
Conformally Invariant ◽  
Higher Spin ◽  
Conserved Currents

scholarly journals On the UV completion of the O(N) model in 6 − ϵ dimensions: a stable large-charge sector

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
G. Arias-Tamargo ◽  
D. Rodriguez-Gomez ◽  
J. G. Russo
Keyword(s):  
Fixed Point ◽  
Perturbation Theory ◽  
Correlation Function ◽  
Scaling Limit ◽  
Stable Fixed Point ◽  
Higher Spin ◽  
Point Correlation ◽  
Charge Sector ◽  
Double Scaling Limit ◽  
Large Charge

Abstract We study large charge sectors in the O(N) model in 6 − ϵ dimensions. For 4 < d < 6, in perturbation theory, the quartic O(N) theory has a UV stable fixed point at large N . It was recently argued that this fixed point can be described in terms of an IR fixed point of a cubic O(N) model. By considering a double scaling limit of large charge and weak couplings, we compute two-point and all “extremal” higher-point correlation functions for large charge operators and find a precise equivalence between both pictures. Instanton instabilities are found to be exponentially suppressed at large charge. We also consider correlation function of U(1)-invariant meson operators in the O(2N) ⊃ U(1) × SU(N) theory, as a first step towards tests of (higher spin) AdS/CFT.

HIGHER INTEGRALS OF MOTION IN A PERTURBED k = 1 SU(2) WESS-ZUMINO-WITTEN THEORY

1990 ◽  
Vol 05 (11) ◽  
pp. 823-830 ◽  
Author(s):  
KEN-ICHIRO KOBAYASHI ◽  
TSUNEO UEMATSU
Keyword(s):  
Perturbation Theory ◽  
Integrals Of Motion ◽  
Perturbed System ◽  
Witten Theory ◽  
Special Case ◽  
Conserved Currents ◽  
Relevant Operator

We investigate higher integrals of motion in the k = 1 SU(2) Wess-Zumino-Witten (WZW) model perturbed by a certain relevant operator. While the perturbed system is a special case of a Sine-Gordon theory, it is shown to the lowest order in perturbation theory that there exist extra conserved currents due to the SU(2) symmetry in the original WZW model.

scholarly journals The Schwarzian sector of higher spin CFTs

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Shouvik Datta
Keyword(s):  
Spectral Decomposition ◽  
Field Theories ◽  
Partition Functions ◽  
Conformal Field Theories ◽  
Btz Black Hole ◽  
Conformal Field ◽  
Virasoro Symmetry ◽  
Higher Spin ◽  
Extremal Limit ◽  
Conserved Currents

Abstract Two-dimensional conformal field theories with Virasoro symmetry generically contain a Schwarzian sector. This sector is related to the near-horizon region of the near-extremal BTZ black hole in the holographic dual. In this work we generalize this picture to CFTs with higher spin conserved currents. It is shown that the partition function in the near-extremal limit agrees with that of BF higher spin gravity in AdS2 which is described by a generalized Schwarzian theory. We also provide a spectral decomposition of Schwarzian partition functions via the $$ {\mathcal{W}}_N $$ W N fusion kernel and consider supersymmetric generalizations.

scholarly journals Extended superconformal higher-spin gauge theories in four dimensions

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Sergei M. Kuzenko ◽  
Emmanouil S. N. Raptakis
Keyword(s):  
Gauge Theories ◽  
Conformally Flat ◽  
De Sitter ◽  
Conformal Supergravity ◽  
Gauge Invariant ◽  
Four Dimensions ◽  
Higher Spin ◽  
Shell Formulation ◽  
Conserved Currents ◽  
Field Strengths

Abstract Using the off-shell formulation for $$ \mathcal{N} $$ N = 2 conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge prepotentials. The latter are used to construct locally superconformal chiral actions, which are demonstrated to be gauge invariant in arbitrary conformally flat backgrounds. The main $$ \mathcal{N} $$ N = 2 results are then generalised to the $$ \mathcal{N} $$ N -extended case. We also present the gauge-invariant field strengths for on-shell massless higher-spin $$ \mathcal{N} $$ N = 2 supermultiplets in anti-de Sitter space. These field strengths prove to furnish representations of the $$ \mathcal{N} $$ N = 2 superconformal group.

scholarly journals Higher spin 3-point functions in 3d CFT using spinor-helicity variables

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Sachin Jain ◽  
Renjan Rajan John ◽  
Abhishek Mehta ◽  
Amin A. Nizami ◽  
Adithya Suresh
Keyword(s):  
Momentum Space ◽  
Conformally Invariant ◽  
Helicity Formalism ◽  
Higher Spin ◽  
Weight Shifting ◽  
Conserved Currents

Abstract In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin-s conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd parts of a correlator are related. Upon converting spinor-helicity answers to momentum space, we show that correlators involving spin-s currents can be expressed in terms of some simple conformally invariant conserved structures. This in particular allows us to understand and separate out contact terms systematically, especially for the parity-odd case. We also reproduce some of the correlators using weight-shifting operators.

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