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Black holes and higher depth mock modular forms (Q2304954)

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Language	Label	Description	Also known as
English	Black holes and higher depth mock modular forms	scientific article

Statements

scholarly article

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Black holes and higher depth mock modular forms (English)

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zbMATH Open document ID

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10.1007/s00220-019-03609-y

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Sergei Yu. Alexandrov

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Communications in Mathematical Physics

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publication date

9 March 2020

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full work available at URL

https://arxiv.org/abs/1808.08479

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

string theory

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modular forms

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black holes

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Microscopic origin of the Bekenstein-Hawking entropy

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Black hole entropy in M-theory

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The M5-brane elliptic genus: modularity and BPS states

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Split states, entropy enigmas, holes and halos

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Crossing the wall: branes versus bundles

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Wall crossing from Boltzmann black hole halos

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Wall-crossing from supersymmetric galaxies

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Counting dyons in \(N=4\) string theory

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Multiple D3-instantons and mock modular forms. I

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Donaldson-Thomas invariants of 2-dimensional sheaves inside threefolds and modular forms

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Vertical sheaves and Fourier-Mukai transform on elliptic Calabi-Yau threefolds

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Vertical D4-D2-D0 bound states on \(K3\) fibrations and modularity

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Stability and duality in \({\mathcal N}=2\) supergravity

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D3-instantons, mock theta series and twistors

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Attractor flow trees, BPS indices and quivers

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Wall-crossing holomorphic anomaly and mock modularity of multiple M5-branes

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Quantum geometry of elliptic Calabi-Yau manifolds

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Multiple D3-instantons and mock modular forms. II

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Indefinite theta series and generalized error functions

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\(r\)-tuple error functions and indefinite theta series of higher-depth

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Theta integrals and generalized error functions

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On some incomplete theta integrals

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The theta correspondence and harmonic forms. I

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The theta correspondence and harmonic forms. II

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Intersection numbers of cycles on locally symmetric spaces and Fourier coefficients of holomorphic modular forms in several complex variables

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Squashed toric manifolds and higher depth mock modular forms

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FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY

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Linear perturbations of quaternionic metrics

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D-instantons and twistors: some exact results

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Four-dimensional wall-crossing via three-dimensional field theory

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Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions

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Chen's iterated integral represents the operator product expansion

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Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants

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A theory of generalized Donaldson–Thomas invariants

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Generalized Donaldson-Thomas invariants

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A fixed point formula for the index of multi-centered \( \mathcal{N} = 2 \) black holes

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From black holes to quivers

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On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants

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The Coulomb Branch Formula for Quiver Moduli Spaces

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Scaling BPS solutions and pure-Higgs states

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Wall-crossing of D4-branes using flow trees

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Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces

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GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES

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Hypermultiplet metric and D-instantons

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Rigid limit for hypermultiplets and five-dimensional gauge theories

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Quantum Hypermultiplet Moduli Spaces in 𝒩=2 String Vacua: A Review

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Joyce-Song wall crossing as an asymptotic expansion

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Compactification of type IIB string theory on Calabi-Yau threefolds

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Modularity, quaternion-Kähler spaces, and mirror symmetry

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S-duality in twistor space

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Vafa-Witten theory and iterated integrals of modular forms

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Vector-valued higher depth quantum modular forms and higher Mordell integrals

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An exact formula for $\mathbf {U (3)}$ Vafa-Witten invariants on $\mathbb {P}^2$

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Twistorial topological strings and a \({tt}^*\) geometry for \(\mathcal{N} = 2\) theories in \(4d\)

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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

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Wall-crossing made smooth

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The non-compact elliptic genus: mock or modular

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Sheaves on \(\mathbb{P}^2\) and generalized Appell functions

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S-duality and refined BPS indices

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Sitelinks

Mathematics(1 entry)

mardi Publication:2304954

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