Multiple D3-instantons and mock modular forms. I

DOI10.1007/s00220-016-2799-0zbMath1367.83066arXiv1605.05945OpenAlexW2401519712MaRDI QIDQ529983

Sibasish Banerjee, Jan Manschot, Boris Pioline, Sergei Yu. Alexandrov

Publication date: 9 June 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.05945

zbMATH Keywords

black holesCalabi-Yau threefoldKähler potentialmock modular formsD3-instanton correctionshypermultiplet moduli spacetype IIB string

Mathematics Subject Classification ID

Black holes (83C57) String and superstring theories in gravitational theory (83E30) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Modular and automorphic functions (11F03) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of differential geometry to physics (53Z05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Local differential geometry of Hermitian and Kählerian structures (53B35) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (18)

Indefinite theta series and generalized error functions ⋮ S-duality and the universal isometries of q-map spaces ⋮ The asymptotic weak gravity conjecture in M-theory ⋮ S-duality and the universal isometries of instanton corrected q-map spaces ⋮ Quantum modular \(\widehat{Z}^G\)-invariants ⋮ Donaldson-Witten theory and indefinite theta functions ⋮ Mock modularity from black hole scattering states ⋮ S-duality and refined BPS indices ⋮ Squashed toric manifolds and higher depth mock modular forms ⋮ Rigid limit for hypermultiplets and five-dimensional gauge theories ⋮ Multiple D3-instantons and mock modular forms. II ⋮ Multiple D3-instantons and mock modular forms. I ⋮ Refinement and modularity of immortal dyons ⋮ Vafa-Witten invariants from exceptional collections ⋮ Black holes and higher depth mock modular forms ⋮ An exact formula for $\mathbf {U (3)}$ Vafa-Witten invariants on $\mathbb {P}^2$ ⋮ Vafa-Witten theory and iterated integrals of modular forms ⋮ Scaling black holes and modularity

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