Stability and boundedness in AdS/CFT with double trace deformations II: Vector Fields

Abstract

We extend the analysis of boundedness and stability, initiated for scalar fields in anti de Sitter space in a previous work, to the case of vector fields. We show that the double trace deformation of Marolf and Ross is distinct from the double trace deformation of Witten. The former gives rise to an $SL(2,\mathbf{R})$ family of theories whereas the latter gives rise to an independent $SL(2,\mathbf{Z})$. We analyze the finite temperature two-point correlation function of current operators and infer the susceptibility and spectrum of low lying states. We discuss various physical features exhibited by these theories.

25 pages, 3 figures

References in corpus (18)

• Causality, Analyticity and an IR Obstruction to UV Completion
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Holographic Renormalization
• Locally Localized Gravity
• Holographic Dual of BCFT
• Aspects of AdS/BCFT
• Setting the boundary free in AdS/CFT
• Hall conductivity from dyonic black holes
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• Comments on Chern-Simons Contact Terms in Three Dimensions
• The m->0 limit for massive graviton in dS_4 and AdS_4. How to circumvent the van Dam-Veltman-Zakharov discontinuity
• D-brane Charges in Gravitational Duals of 2+1 Dimensional Gauge Theories and Duality Cascades
• SL(2,Z) Action on Three-Dimensional CFTs and Holography
• Particle-Vortex Duality and the Modular Group: Applications to the Quantum Hall Effect and Other 2-D Systems
• Absence of a VVDZ Discontinuity in AdS_AdS
• On the stability of gravity with Dirichlet walls
• A Note on Spontaneously Broken Lorentz Invariance
• Lectures on the Theory of the Weak Interaction

Cited by in corpus (1)

• Comments on $T\bar{T}$ double trace deformations and boundary conditions