Holographic Correlators in a Flow to a Fixed Point

Abstract

Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N=(4,4) CFT which can be thought of as a symmetric product of U(2) super WZW models. It is perturbed by a relevant operator which preserves one-quarter supersymmetry and drives the theory to an infrared fixed point. We compute correlators of the stress-energy tensor and of the relevant operators dual to supergravity scalars. Using the former, we put together Zamolodchikov's C function, and contrast it with proposals for a holographic C function. In passing, we address and resolve two puzzles also found in the case of five-dimensional bulk supergravity.

LaTeX2e, 48 pages, 4 figures

References in corpus (1)

• Lecture Notes on Holographic Renormalization

Cited by in corpus (16)

• Spin-2 spectrum of defect theories
• Bulk Dynamics in Confining Gauge Theories
• Glueballs vs. Gluinoballs: Fluctuation Spectra in Non-AdS/Non-CFT
• Holographic renormalization of cascading gauge theories
• A finite action for three dimensional gravity with a minimally coupled scalar field
• A tale of two superpotentials: Stability and Instability in Designer Gravity
• The a-theorem and conformal symmetry breaking in holographic RG flows
• Holographic three-point functions: one step beyond the tradition
• Holography and Renormalization in Lorentzian Signature
• Super-entropic black hole with Immirzi hair
• On the matching method and the Goldstone theorem in holography
• Holographic RG flows, entanglement entropy and the sum rule
• Matrix model holography
• Holography of D-Brane Reconnection
• Dimensional regularization for holographic RG flows
• New N=5,6, 3D gauged supergravities and holography