Black holes and higher depth mock modular forms
DOI10.1007/s00220-019-03609-yzbMath1435.83026arXiv1808.08479OpenAlexW3103822839WikidataQ126777043 ScholiaQ126777043MaRDI QIDQ2304954
Boris Pioline, Sergei Yu. Alexandrov
Publication date: 9 March 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.08479
Black holes (83C57) String and superstring theories in gravitational theory (83E30) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Exact solutions to problems in general relativity and gravitational theory (83C15)
Related Items (12)
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- D3-instantons, mock theta series and twistors
- On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants
- Twistorial topological strings and a \({tt}^*\) geometry for \(\mathcal{N} = 2\) theories in \(4d\)
- Crossing the wall: branes versus bundles
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Wall-crossing of D4-branes using flow trees
- A fixed point formula for the index of multi-centered \( \mathcal{N} = 2 \) black holes
- Wall crossing from Boltzmann black hole halos
- Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
- Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes
- Vertical sheaves and Fourier-Mukai transform on elliptic Calabi-Yau threefolds
- Vertical D4-D2-D0 bound states on \(K3\) fibrations and modularity
- Multiple D3-instantons and mock modular forms. I
- Stability and duality in \({\mathcal N}=2\) supergravity
- The M5-brane elliptic genus: modularity and BPS states
- Linear perturbations of quaternionic metrics
- The theta correspondence and harmonic forms. I
- The theta correspondence and harmonic forms. II
- Compactification of type IIB string theory on Calabi-Yau threefolds
- Black hole entropy in M-theory
- Indefinite theta series and generalized error functions
- Microscopic origin of the Bekenstein-Hawking entropy
- Sheaves on \(\mathbb{P}^2\) and generalized Appell functions
- Donaldson-Thomas invariants of 2-dimensional sheaves inside threefolds and modular forms
- Theta integrals and generalized error functions
- 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
- Hypermultiplet metric and D-instantons
- S-duality in twistor space
- From black holes to quivers
- Scaling BPS solutions and pure-Higgs states
- \(r\)-tuple error functions and indefinite theta series of higher-depth
- S-duality and refined BPS indices
- Split states, entropy enigmas, holes and halos
- Wall-crossing from supersymmetric galaxies
- Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions
- Vector-valued higher depth quantum modular forms and higher Mordell integrals
- Vafa-Witten theory and iterated integrals of modular forms
- Quantum geometry of elliptic Calabi-Yau manifolds
- Joyce-Song wall crossing as an asymptotic expansion
- The non-compact elliptic genus: mock or modular
- Counting dyons in \(N=4\) string theory
- Wall-crossing made smooth
- Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables
- Attractor flow trees, BPS indices and quivers
- From sheaves on P<sup xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> to a generalization of the Rademacher expansion
- A theory of generalized Donaldson–Thomas invariants
- Generalized Donaldson-Thomas invariants
- Quantum Hypermultiplet Moduli Spaces in 𝒩=2 String Vacua: A Review
- D-instantons and twistors: some exact results
- The Coulomb Branch Formula for Quiver Moduli Spaces
- GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES
- FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY
- On some incomplete theta integrals
- An exact formula for $\mathbf {U (3)}$ Vafa-Witten invariants on $\mathbb {P}^2$
- Modularity, quaternion-Kähler spaces, and mirror symmetry
- Chen's iterated integral represents the operator product expansion
- Four-dimensional wall-crossing via three-dimensional field theory
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