Aspects of Higher Spin Theories, Conformal Field Theories and Holography
arXiv:1711.03300
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 AdS gravity and higher spins using Grassmann approach and chiral higher spin solutions with the most general AdS 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 dimensions. To do this, we extend the "cow-pie contraction" algorithm of Basu and Krishnan to theories with fermions.
arXiv commentSlightly expanded version of the PhD thesis, defended on 5th September 2017, supervised by Chethan Krishnan, based on arXiv:1308.6741, arXiv:1312.2941, arXiv:1412.5053, arXiv:1510.05287, arXiv:1605.01603, arXiv:1609.06300, arXiv:1703.01769
References in corpus (86)
- Large N Field Theories, String Theory and Gravity
- The World as a Hologram
- The Black Hole in Three Dimensional Space Time
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- A Stress Tensor for Anti-de Sitter Gravity
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- Geometry of the 2+1 Black Hole
- Lecture Notes on Holographic Renormalization
- AdS/CFT Correspondence and Symmetry Breaking
- Dimensional Reduction in Quantum Gravity
- Rotation and the AdS/CFT correspondence
- Black Hole Entropy Function, Attractors and Precision Counting of Microstates
- Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
- Quantum Gravity In De Sitter Space
- The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
- Mass, Entropy and Holography in Asymptotically de Sitter Spaces
- Higher Spin Gauge Theories: Star-Product and AdS Space
- Anti De Sitter Space And Holography
- The BMS/GCA correspondence
- A New Cosmological Scenario in String Theory
- De Sitter Space and Eternity
- Setting the boundary free in AdS/CFT
- Holography of 3d Flat Cosmological Horizons
- The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
- On higher spins and the tensionless limit of String Theory
- Asymptotic Structure of Symmetry Reduced General Relativity
- The Microcanonical Functional Integral. I. The Gravitational Field
- Higher Spin Black Holes
- BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
- Entropy of three-dimensional asymptotically flat cosmological solutions
- Six-dimensional Methods for Four-dimensional Conformal Field Theories
- Spacetime Geometry in Higher Spin Gravity
- Global Charges in Chern-Simons theory and the 2+1 black hole
- Boundary Terms, Variational Principles and Higher Derivative Modified Gravity
- Light-Front Higher-Spin Theories in Flat Space
- New Boundary Conditions for AdS3
- On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
- Soft Heisenberg hair on black holes in three dimensions
- Is There Really a de Sitter/CFT Duality
- Higher spin theory in 3-dimensional flat space
- On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins
- Statistical Entropy of Three-dimensional Kerr-De Sitter Space
- Asymptotically flat spacetimes in three-dimensional higher spin gravity
- Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
- Symplectic and Killing Symmetries of AdS Gravity: Holographic vs Boundary Gravitons
- Enhanced asymptotic symmetry algebra of AdS3
- Universal Limits on Massless High-Spin Particles
- Thermodynamics of Higher Spin Black Holes in AdS
- Tensionless Strings, WZW Models at Critical Level and Massless Higher Spin Fields
- Finite action principle for Chern-Simons AdS gravity
- Thermodynamics of higher spin black holes in 3D
- Cosmic evolution from phase transition of 3-dimensional flat space
- Higher spin black hole entropy in three dimensions
- Variational principle and 1-point functions in 3-dimensional flat space Einstein gravity
- A Grassmann Path From AdS_3 to Flat Space
- An sl(2, R) current algebra from AdS_3 gravity
- Higher Spin Black Holes with Soft Hair
- Scalar Field Theory in the AdS/CFT Correspondence Revisited
- On critical exponents without Feynman diagrams
- On boundary conditions in three-dimensional AdS gravity
- From Higher Spins to Strings: A Primer
- Energy and the AdS/CFT Correspondence
- Comments on Jacobson's "Entanglement equilibrium and the Einstein equation"
- A note on covariant action integrals in three dimensions
- Some Thoughts on the Quantum Theory of Stable de Sitter Space
- Flat/AdS boundary conditions in three dimensional conformal gravity
- On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique
- Desingularization of the Milne Universe
- Black Hole Vacua and Rotation
- A Dynamical Boundary for Anti-de Sitter Space
- Higher Spin Resolution of a Toy Big Bang
- Old and New No Go Theorems on Interacting Massless Particles in Flat Space
- Higher Spin Cosmology
- Baby de Sitter Black Holes and dS/CFT
- The Epsilon-Expansion from Conformal Field Theory
- Low Tension Strings on a Cosmological Singularity
- Holographic Chern-Simons Theories
- Tomograms of Spinning Black Holes
- Toward Higher Spin dS3/CFT2
- Chiral Higher Spin Gravity
- On the dynamical symmetric algebra of ageing: Lie structure, representations and Appell systems
- The covariant action of higher spin black holes in three dimensions
- Higher Spin Black Holes in Three Dimensions: Comments on Asymptotics and Regularity
- Strings vs Spins on the Null Orbifold
- Holographic chiral induced W-gravities
- 3D Gravity, Chern-Simons and Higher Spins: A Mini Introduction