Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
AdS Description of Induced Higher-Spin Gauge Theory
7 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We study deformations of three-dimensional large N CFTs by double-trace operators constructed from spin s single-trace operators of dimension \Delta. These theories possess UV fixed points, and we calculate the change of the 3-sphere free energy \delta F= F_{UV}- F_{IR}. To describe the UV fixed point using the dual AdS_4 space we modify the boundary conditions on the spin s field in the bulk; this approach produces \delta F in agreement with the field theory calculations. If the spin s operator is a conserved current, then the fixed point is described by an induced parity invariant conformal spin s gauge theory. The low spin examples are QED_3 (s=1) and the 3-d induced conformal gravity (s=2). When the original CFT is that of N conformal complex scalar or fermion fields, the U(N) singlet sector of the induced 3-d gauge theory is dual to Vasiliev's theory in AdS_4 with alternate boundary conditions on the spin s massless gauge field. We test this correspondence by calculating the leading term in \delta F for large N. We show that the coefficient of (1/2)\log N in \delta F is equal to the number of spin s-1 gauge parameters that act trivially on the spin s gauge field. We discuss generalizations of these results to 3-d gauge theories including Chern-Simons terms and to theories where s is half-integer. We also argue that the Weyl anomaly a-coefficients of conformal spin s theories in even dimensions d, such as that of the Weyl-squared gravity in d=4, can be efficiently calculated using massless spin s fields in AdS_{d+1} with alternate boundary conditions. Using this method we derive a simple formula for the Weyl anomaly a-coefficients of the d=4 Fradkin-Tseytlin conformal higher-spin gauge fields. Similarly, using alternate boundary conditions in AdS_3 we reproduce the well-known central charge c=-26 of the bc ghosts in 2-d gravity, as well as its higher-spin generalizations.
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hep-th 7years
2026 7roles
background 1representative citing papers
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.
Develops holographic dictionary for self-dual higher-spin theories and computes four-point AdS/CFT correlators in a higher-spin extension of self-dual Yang-Mills.
Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.
Thermal partition functions of conformal higher-derivative and higher-spin fields develop universal poles in (1-|ω_i|) in the semi-universal limit, with residues sensitive to negative-twist states, verified via mode sums and operator counting and reproduced from AdS5.
Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.
citing papers explorer
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CFTs on Squashed Spheres and the Thermal Effective Action
Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
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dS$^4$ Metamorphosis
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
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Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$
Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.
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Self-dual holography: four-point AdS/CFT correlators in higher-spin gravity
Develops holographic dictionary for self-dual higher-spin theories and computes four-point AdS/CFT correlators in a higher-spin extension of self-dual Yang-Mills.
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Extraordinary Surface Criticalities for Interacting Fermions
Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.
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Semi-universality of conformal higher-derivative and conformal higher-spin fields
Thermal partition functions of conformal higher-derivative and higher-spin fields develop universal poles in (1-|ω_i|) in the semi-universal limit, with residues sensitive to negative-twist states, verified via mode sums and operator counting and reproduced from AdS5.
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Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang--Mills theory II
Derives bulk and boundary propagators and computes 3- and 4-point correlators for YM, CS and SDYM in AdS/CFT with multiple boundary conditions to relate their observables.