Elliptic genera and 3d gravity

DOI10.1007/s00023-016-0469-6zbMath1351.83019arXiv1503.04800OpenAlexW3102889556WikidataQ59477526 ScholiaQ59477526MaRDI QIDQ331465

Nathan Benjamin, Miranda C. N. Cheng, Shamit Kachru, Natalie M. Paquette, Gregory W. Moore

Publication date: 27 October 2016

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04800

zbMATH Keywords

central chargesupergravityorbifoldsstringselliptic generaconstraintsCalabi-Yau hypersurfaces2d supersymmetric conformal field theory3d gravityAdS curvature

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Supergravity (83E50) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Quantum field theory on curved space or space-time backgrounds (81T20) Gravitational interaction in quantum theory (81V17) Quantization of the gravitational field (83C45) Calabi-Yau theory (complex-analytic aspects) (32Q25) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of manifolds of mappings to the sciences (58D30) General geometric structures on low-dimensional manifolds (57M50) Analogues of general relativity in lower dimensions (83C80)

Related Items

Lifting 1/4-BPS states in \( \mathrm{AdS}_3 \times S^3 \times T^4\), Siegel paramodular forms and sparseness in \(\mathrm{AdS}_{3}/\mathrm{CFT}_{2}\), Higher-point conformal blocks and entanglement entropy in heavy states, Emergent space-time and the supersymmetric index, Black hole collapse in the \(1/c\) expansion, Small black holes and near-extremal CFTs, Universal bounds on charged states in 2d CFT and 3d gravity, Rényi entropies, the analytic bootstrap, and 3D quantum gravity at higher genus, High-temperature expansion of supersymmetric partition functions, Ab initio holography, De Sitter holography and entanglement entropy, Sparseness bounds on local operators in holographic \(\mathrm{CFT}_{d}\), The holographic landscape of symmetric product orbifolds, Universality of sparse \(d > 2\) conformal field theory at large \(N\), Bagger–Witten line bundles on moduli spaces of elliptic curves, The stranger things of symmetric product orbifold CFTs, 2D CFT partition functions at late times, Modified supersymmetric indices in \(\mathrm{AdS}_3/\mathrm{CFT}_2\), Charged structure constants from modularity, Spectral flow in 3D flat spacetimes, Heterotic sigma models on \(T^8\) and the Borcherds automorphic form \(\Phi_{12}\), Permutation orbifolds in the large \(N\) limit, The Cardy limit of the topologically twisted index and black strings in \(\mathrm{AdS}_{5}\), No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons, A refined count of BPS states in the D1/D5 system, The large \(N\) limit of OPEs in symmetric orbifold CFTs with \(\mathcal{N} = (4, 4)\) supersymmetry, Free partition functions and an averaged holographic duality, The OPE of bare twist operators in bosonic \(S_N\) orbifold CFTs at large \(N\), Supersymmetric Landau-Ginzburg tensor models, Quantum corrections to central charges and supersymmetric Casimir energy in \(\mathrm{AdS}_{3}/\mathrm{CFT}_{2}\), Ramanujan's influence on string theory, black holes and moonshine

Cites Work

• Unnamed Item
• Unnamed Item
• Universal spectrum of 2d conformal field theory in the large \(c\) limit
• A bound on the entropy of supergravity?
• Quantum gravity partition functions in three dimensions
• Chiral gravity in three dimensions
• Phase transitions in symmetric orbifold CFTs and universality
• The asymptotic profile of \(\chi_y\)-genera of Hilbert schemes of points on \(K3\) surfaces
• Permutation orbifolds in the large \(N\) limit
• Elliptic genera and quantum field theory
• Schwinger-Keldysh formalism. I: BRST symmetries and superspace
• The theory of Jacobi forms
• The monster Lie algebra
• A modern fareytail
• Extremal \({\mathcal N}=(2,2)\) 2D conformal field theories and constraints of modularity
• The large \(N\) limit of superconformal field theories and supergravity
• Comments on string theory on \(\text{AdS}_3\)
• Anti-de Sitter space, thermal phase transition, and confinement in gauge theories.
• Elliptic genera of symmetric products and second quantized strings
• Near horizon geometry of rotating black holes in five dimensions
• Chaotic coupling constants
• Instanton strings and hyper-Kähler geometry.
• \(\text{AdS}_3\) black holes and a stringy exclusion principle
• The D1/D5 system and singular CFT
• Large \(N\) elliptic genus and AdS/CFT correspondence
• Microscopic origin of the Bekenstein-Hawking entropy
• Elliptic genera and \(N=2\) superconformal field theory
• Supersymmetric states in large \(N\) Chern-Simons-matter theories
• Moulting black holes
• Large \(N\) field theories, string theory and gravity
• Rademacher Sums and Rademacher Series
• Holomorphic structure of superstring vacua
• Black hole in three-dimensional spacetime
• Lectures on Black Holes and the AdS3/CFT2 Correspondence