Supergravity one-loop corrections on \(\mathrm{AdS}_{7}\) and \(\mathrm{AdS}_{3}\), higher spins and AdS/CFT

DOI10.1016/j.nuclphysb.2015.01.014zbMath1328.81189arXiv1412.0489OpenAlexW2132047432MaRDI QIDQ901987

Matteo Beccaria, Guido Macorini, Arkady A. Tseytlin

Publication date: 6 January 2016

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0489

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supergravity (83E50) Supersymmetric field theories in quantum mechanics (81T60) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Quantum field theory on curved space or space-time backgrounds (81T20) Anomalies in quantum field theory (81T50)

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Cites Work

• The boundary Weyl anomaly in the \(\mathcal N = 4\) SYM/type-IIB supergravity correspondence
• Massive totally symmetric fields in \(AdS_{d}\)
• Gauge theory correlators from non-critical string theory
• AdS description of induced higher-spin gauge theory
• One loop tests of higher spin AdS/CFT
• Anti de Sitter space and holography
• Five-brane effective action in \(M\)-theory
• Order \(1/N^3\) corrections to the conformal anomaly of the \((2,0)\) theory in six dimensions
• \(D=4\) super Yang-Mills, \(D=5\) gauged supergravity and \(D=4\) conformal supergravity.
• Spectrum of \(D=6\), \(N=4b\) supergravity on \(\text{AdS}_3\times S^3\)
• Six-dimensional supergravity on \(S^3\times\text{AdS}_3\) and 2d conformal field theory
• A note on the chiral anomaly in the AdS/CFT correspondence and \(1/N^2\) correction
• Non-abelian tensor-multiplet anomalies
• The holographic Weyl anomaly
• On subleading contributions to the AdS/CFT trace anomaly
• On the conformal field theory of the Higgs branch
• The large-\(N\) limit of superconformal field theories and supergravity
• A stress tensor for anti-de Sitter gravity
• The heat kernel on AdS
• Liouville correlation functions from four-dimensional gauge theories
• Large \(N\) field theories, string theory and gravity
• \(\mathcal{W}\) symmetry in six dimensions
• Integrability and the conformal field theory of the Higgs branch
• Vectorial AdS₅/CFT₄duality for spin-one boundary theory
• Character formulas and partition functions in higher dimensional conformal field theory
• EXTENDED POINCARÉ SUPERSYMMETRY
• Spectral functions and zeta functions in hyperbolic spaces
• Weyl cocycles
• Lowest eigenvalues of the energy operator for totally (anti)symmetric massless fields of the n-dimensional anti-de Sitter group
• Supersymmetries and their representations
• The complete mass spectrum of d=11 supergravity compactified on S ₄ and a general mass formula for arbitrary cosets M ₄
• Conformal anomaly of \((2,0)\) tensor multiplet in six dimensions and AdS/CFT correspondence
• Near-extremal correlators and generalized consistent truncation for \(\text{AdS}_{4|7}\times S^{7|4}\)
• Order \(1/N^2\) test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly
• Three-point correlators of stress tensors in maximally-supersymmetric conformal theories in \(d=3\) and \(d=6\)
• \(R^4\) terms in 11 dimensions and conformal anomaly of \((2,0)\) theory