The non-compact elliptic genus: mock or modular

DOI10.1007/JHEP06(2010)104zbMath1288.81124arXiv1004.3649WikidataQ29398326 ScholiaQ29398326MaRDI QIDQ2451828

Jan Troost

Publication date: 4 June 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.3649

zbMATH Keywords

conformal and W symmetryconformal field models in string theoryextended supersymmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Path integrals in quantum mechanics (81S40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (45)

Moonshine in fivebrane spacetimes ⋮ The black hole interior and a curious sum rule ⋮ 2d index and surface operators ⋮ Lessons on black holes from the elliptic genus ⋮ Compact formulas for the completed mock modular forms ⋮ Quantum dynamics of supergravity on \(\mathbb R^{3} \times S^{1}\) ⋮ A 5d/2d/4d correspondence ⋮ The toroidal block and the genus expansion ⋮ Gauge threshold corrections for \( \mathcal{N}=2 \) heterotic local models with flux, and mock modular forms ⋮ D3-instantons, mock theta series and twistors ⋮ Squashed toric sigma models and mock modular forms ⋮ Single-centered black hole microstate degeneracies from instantons in supergravity ⋮ String theory in polar coordinates and the vanishing of the one-loop Rindler entropy ⋮ Wall-crossing made smooth ⋮ Three-charge black holes and quarter BPS states in little string theory ⋮ Mirror symmetry and bosonization in 2d and 3d ⋮ Twisted massive non-compact models ⋮ On Mathieu moonshine and Gromov-Witten invariants ⋮ Pure and twisted holography ⋮ \(\mathrm{dS}_2\) supergravity ⋮ The \(\Omega \) deformed \(B\)-model for rigid \(N=2\) theories ⋮ From 3d duality to 2d duality ⋮ An elliptic triptych ⋮ Mock modularity from black hole scattering states ⋮ S-duality and refined BPS indices ⋮ Non-holomorphic modular forms and SL(2,\(\mathbb{R}\))/U(1) superconformal field theory ⋮ A twisted non-compact elliptic genus ⋮ \(K3\) elliptic genus and an umbral moonshine module ⋮ Squashed toric manifolds and higher depth mock modular forms ⋮ Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes ⋮ Elliptic genera of ALE and ALF manifolds from gauged linear sigma models ⋮ Multiple D3-instantons and mock modular forms. I ⋮ Comments on non-holomorphic modular forms and non-compact superconformal field theories ⋮ 3d modularity ⋮ Superstrings in thermal Anti-de Sitter space ⋮ Elliptic genera of non-compact Gepner models and mirror symmetry ⋮ String theory at the tip of the cigar ⋮ APS \(\eta \)-invariant, path integrals, and mock modularity ⋮ Black holes and higher depth mock modular forms ⋮ K3 string theory, lattices and moonshine ⋮ Stringy information and black holes ⋮ Vafa-Witten theory and iterated integrals of modular forms ⋮ Holomorphic anomalies, fourfolds and fluxes ⋮ A puncture in the Euclidean black hole ⋮ Umbral moonshine and \(K3\) surfaces

Cites Work

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