Aspects of Higher Spin Theories, Conformal Field Theories and Holography

2017/11/09 by Avinash Raju, Raju, Avinash
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1711.03300

openalex publication_date 2017/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This dissertation consists of three parts. The first part of the thesis is devoted to the study of gravity and higher spin gauge theories in 2+1 dimensions. The first part deals with cosmological solutions of spin-3 gravity and their thermodynamics, flat space limit of AdS₃ gravity and higher spins using Grassmann approach and chiral higher spin solutions with the most general AdS₃ boundary condition. The second part is devoted to the problem of Neumann boundary condition in Einstein's gravity. We present an explicit boundary term that makes the Neumann variational problem well posed and explore its consequences for holography in various dimensions. In the third part of the dissertation, we use the CFT techniques of Rychkov and Tan to compute anomalous dimensions in the O(N) Gross-Neveu model in d=2+ε dimensions. To do this, we extend the "cow-pie contraction" algorithm of Basu and Krishnan to theories with fermions.

Citations

• On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique
• Toward Higher Spin dS3/CFT2
• Quantum Gravity In De Sitter Space
• Some Thoughts on the Quantum Theory of Stable de Sitter Space
• Old and New No Go Theorems on Interacting Massless Particles in Flat Space
• On the dynamical symmetric algebra of ageing: Lie structure, representations and Appell systems
• Non-gaussian features of primordial fluctuations in single field inflationary models
• The world as a hologram
• Dimensional Reduction in Quantum Gravity
• From Higher Spins to Strings: A Primer
• ε-Expansions Near Three Dimensions from Conformal Field Theory
• Holographic chiral induced W-gravities
• The Epsilon-Expansion from Conformal Field Theory

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• Fractional Spins, Unfolding, and Holography: I. Parent field equations for dual higher-spin gravity reductions
• Higher Spin Realization of the dS/CFT Correspondence