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CERN Document Server 9 record trovati  La ricerca ha impiegato 0.97 secondi. 
1.
Multiple D3-instantons and mock modular forms II / Alexandrov, Sergei (U. Montpellier, L2C ; CERN) ; Banerjee, Sibasish (IPhT, Saclay) ; Manschot, Jan (Trinity Coll., Dublin ; Hamilton Math. Inst., Dublin) ; Pioline, Boris (CERN ; Paris, LPTHE)
We analyze the modular properties of D3-brane instanton corrections to the hypermultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In Part I, we found a necessary condition for the existence of an isometric action of S-duality on this moduli space: the generating function of DT invariants in the large volume attractor chamber must be a vector-valued mock modular form with specified modular properties. [...]
L2C:17-011; CERN-TH-2017-040; IPHT-T17-020; arXiv:1702.05497.- 2018-03-10 - 50 p. - Published in : Commun. Math. Phys. 359 (2018) 297-346 Preprint: PDF;
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2.
Indefinite theta series and generalized error functions / Alexandrov, Sergei (U. Montpellier, L2C) ; Banerjee, Sibasish (IPhT, Saclay) ; Manschot, Jan (Trinity Coll., Dublin) ; Pioline, Boris (CERN ; Paris, LPTHE)
Theta series for lattices with indefinite signature $(n_+,n_-)$ arise in many areas of mathematics including representation theory and enumerative algebraic geometry. Their modular properties are well understood in the Lorentzian case ($n_+=1$), but have remained obscure when $n_+\geq 2$. [...]
arXiv:1606.05495; L2C:16-078; IPHT-T16/058; TCDMATH 16-09; CERN-TH-2016-142; IPHT-T16-058; TCDMATH-16-09; L2C:16-078; IPHT-T16-058; CERN-TH-2016-142.- 2018 - 46 p. - Published in : Selecta Math. 24 (2018) 3927 Preprint: PDF; External link: Preprint
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3.
Multiple D3-instantons and mock modular forms I / Alexandrov, Sergei (U. Montpellier, L2C) ; Banerjee, Sibasish (IPhT, Saclay) ; Manschot, Jan (Trinity Coll., Dublin) ; Pioline, Boris (CERN ; Paris, LPTHE)
We study D3-instanton corrections to the hypermultiplet moduli space in type IIB string theory compactified on a Calabi-Yau threefold. In a previous work, consistency of D3-instantons with S-duality was established at first order in the instanton expansion, using the modular properties of the M5-brane elliptic genus. [...]
L2C:16-056; IPHT-T16-037; CERN-TH-2016-121; TCDMATH-16-08; arXiv:1605.05945.- 2016-11-11 - 33 p. - Published in : Commun. Math. Phys. 353 (2017) 379-411 Preprint: PDF; External link: Preprint
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4.
The Coulomb Branch Formula for Quiver Moduli Spaces / Manschot, Jan (Lyon U.) ; Pioline, Boris (CERN ; Paris U., IV ; Paris, LPTHE) ; Sen, Ashoke (Harish-Chandra Res. Inst.)
In recent series of works, by translating properties of multi-centered supersymmetric black holes into the language of quiver representations, we proposed a formula that expresses the Hodge numbers of the moduli space of semi-stable representations of quivers with generic superpotential in terms of a set of invariants associated to `single-centered' or `pure-Higgs' states. The distinguishing feature of these invariants is that they are independent of the choice of stability condition. [...]
arXiv:1404.7154; CERN-PH-TH-2014-074.- 2017 - 24 p. - Published in : Confluentes Mathematici 9 (2017) 49-69 Fulltext: PDF; External link: Preprint
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5.
Generalized quiver mutations and single-centered indices / Manschot, Jan (Lyon U.) ; Pioline, Boris (CERN ; Paris, LPTHE) ; Sen, Ashoke (Harish-Chandra Res. Inst.)
Quiver quantum mechanics is invariant under Seiberg duality. A mathematical consequence is that the cohomology of the Higgs branch moduli space is invariant under mutations of the quiver. [...]
arXiv:1309.7053; CERN-PH-TH-2013-221; HRI-ST-1304; CERN-PH-TH-2013-221; HRI-ST-1304.- 2014 - 32 p. - Published in : JHEP 01 (2014) 050 Article from SCOAP3: PDF; Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint
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6.
Quantum hypermultiplet moduli spaces in N=2 string vacua: a review / Alexandrov, Sergei (Montpellier U.) ; Manschot, Jan (Bonn, Max Planck Inst., Math. ; Bonn U.) ; Persson, Daniel (Chalmers U. Tech.) ; Pioline, Boris (CERN ; Paris, LPTHE)
The hypermultiplet moduli space M_H in type II string theories compactified on a Calabi-Yau threefold X is largely constrained by supersymmetry (which demands quaternion-K\"ahlerity), S-duality (which requires an isometric action of SL(2, Z)) and regularity. Mathematically, M_H ought to encode all generalized Donaldson-Thomas invariants on X consistently with wall-crossing, modularity and homological mirror symmetry. [...]
arXiv:1304.0766; CERN-PH-TH-2013-048; CERN-PH-TH-2013-048.- 2015 - 31 p. - Published in : Proc. Symp. Pure Math.: 90 (2015) , pp. 181-212 Fulltext: PDF; External link: Preprint
In : 2nd Conference String-Math 2012, Bonn, Germany, 16 - 20 Jul 2012, pp.181-212
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7.
On the Coulomb and Higgs branch formulae for multi-centered black holes and quiver invariants / Manschot, Jan (Bonn U. ; Bonn, Max Planck Inst., Math.) ; Pioline, Boris (CERN ; Paris, LPTHE) ; Sen, Ashoke (Harish-Chandra Res. Inst.)
In previous work we have shown that the equivariant index of multi-centered N=2 black holes localizes on collinear configurations along a fixed axis. Here we provide a general algorithm for enumerating such collinear configurations and computing their contribution to the index. [...]
arXiv:1302.5498; BONN-TH-2013-03; CERN-PH-TH-2013-030; HRI-ST-1302; BONN-TH-2013-03; CERN-PH-TH-2013-030; HRI-ST-1302.- 2013 - 46 p. - Published in : JHEP 05 (2013) 166 Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint
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8.
From Black Holes to Quivers / Manschot, Jan (Bonn U. ; Bonn, Max Planck Inst., Math.) ; Pioline, Boris (CERN ; Paris, LPTHE) ; Sen, Ashoke (Harish-Chandra Res. Inst.)
Middle cohomology states on the Higgs branch of supersymmetric quiver quantum mechanics - also known as pure Higgs states - have recently emerged as possible microscopic candidates for single-centered black hole micro-states, as they carry zero angular momentum and appear to be robust under wall-crossing. Using the connection between quiver quantum mechanics on the Coulomb branch and the quantum mechanics of multi-centered black holes, we propose a general algorithm for reconstructing the full moduli-dependent cohomology of the moduli space of an arbitrary quiver, in terms of the BPS invariants of the pure Higgs states. [...]
arXiv:1207.2230; BONN-TH-2012-14; CERN-PH-TH-2012-191; HRI-ST-1204; BONN-TH-2012-14; CERN-PH-TH-2012-191; HRI-ST-1204.- 2012 - 57 p. - Published in : JHEP 11 (2012) 023 Fulltext: PDF; Springer Open Access article: PDF; External link: Preprint
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9.
D3-instantons, Mock Theta Series and Twistors / Alexandrov, Sergei (Montpellier U.) ; Manschot, Jan (Bonn U. ; Bonn, Max Planck Inst., Math.) ; Pioline, Boris (CERN ; Paris, LPTHE)
The D-instanton corrected hypermultiplet moduli space of type II string theory compactified on a Calabi-Yau threefold is known in the type IIA picture to be determined in terms of the generalized Donaldson-Thomas invariants, through a twistorial construction. At the same time, in the mirror type IIB picture, and in the limit where only D3-D1-D(-1)-instanton corrections are retained, it should carry an isometric action of the S-duality group SL(2,Z). [...]
arXiv:1207.1109; L2C:12-090; BONN-TH-2012-13; CERN-PH-TH-2012-157-a.- 2013 - 43. - Published in : JHEP 04 (2013) 002 Preprint: PDF; Springer Open Access article: PDF; External link: Preprint
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