Search Results - "Katz, Sheldon"
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On geometric classification of 5d SCFTs
Published in The journal of high energy physics (01-04-2018)“…A bstract We formulate geometric conditions necessary for engineering 5d superconformal field theories (SCFTs) via M-theory compactification on a local…”
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T-branes at the limits of geometry
Published in The journal of high energy physics (01-10-2017)“…A bstract Singular limits of 6D F-theory compactifications are often captured by T-branes, namely a non-abelian configuration of intersecting 7-branes with a…”
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Towards refining the topological strings on compact Calabi-Yau 3-folds
Published in The journal of high energy physics (01-03-2021)“…A bstract We make a proposal for calculating refined Gopakumar-Vafa numbers (GVN) on elliptically fibered Calabi-Yau 3-folds based on refined holomorphic…”
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Local BPS Invariants: Enumerative Aspects and Wall-Crossing
Published in International mathematics research notices (04-09-2020)“…Abstract We study the BPS invariants for local del Pezzo surfaces, which can be obtained as the signed Euler characteristic of the moduli spaces of stable…”
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Sheaves of maximal intersection and multiplicities of stable log maps
Published in Selecta mathematica (Basel, Switzerland) (01-09-2021)“…A great number of theoretical results are known about log Gromov–Witten invariants (Abramovich and Chen in Asian J Math 18:465–488, 2014; Chen in Ann Math (2)…”
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The Refined BPS Index from Stable Pair Invariants
Published in Communications in mathematical physics (01-06-2014)Get full text
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Elliptically fibered Calabi–Yau manifolds and the ring of Jacobi forms
Published in Nuclear physics. B (01-09-2015)“…We give evidence that the all genus amplitudes of topological string theory on compact elliptically fibered Calabi–Yau manifolds can be written in terms of…”
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Geometric engineering of quantum field theories
Published in Nuclear physics. B (21-07-1997)“…Using the recent advances in our understanding of non-perturbative aspects of type 11 strings we show how non-trivial exact results for N = 2 quantum field…”
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D‐critical loci for length n sheaves on local toric Calabi‐Yau 3‐folds
Published in The Bulletin of the London Mathematical Society (01-12-2022)“…The notion of a d‐critical locus is an ingredient in the definition of motivic Donaldson–Thomas invariants by Bussi‐Joyce‐Meinhardt. There is a canonical…”
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Topological string on elliptic CY 3-folds and the ring of Jacobi forms
Published in The journal of high energy physics (01-10-2015)“…A bstract We give evidence that the all genus amplitudes of topological string theory on compact elliptically fibered Calabi-Yau manifolds can be written in…”
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The Refined BPS Index from Stable Pair Invariants
Published in Communications in mathematical physics (01-06-2014)“…A refinement of the stable pair invariants of Pandharipande and Thomas for non-compact Calabi–Yau spaces is introduced based on a virtual Bialynicki-Birula…”
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T-branes and geometry
Published in The journal of high energy physics (01-05-2014)“…A bstract T-branes are a non-abelian generalization of intersecting branes in which the matrix of normal deformations is nilpotent along some subspace. In this…”
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Swampland constraints on 5d N = 1 supergravity
Published in The journal of high energy physics (13-07-2020)“…A bstract We propose Swampland constraints on consistent 5-dimensional N = 1 supergravity theories. We focus on a special class of BPS magnetic monopole…”
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Topological Strings on Non-commutative Resolutions
Published in Communications in mathematical physics (01-03-2024)“…In this paper we propose a definition of torsion refined Gopakumar–Vafa (GV) invariants for Calabi–Yau threefolds with terminal nodal singularities that do not…”
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Swampland constraints on 5d $$ \mathcal{N} $$ = 1 supergravity
Published in The journal of high energy physics (01-07-2020)“…A bstract We propose Swampland constraints on consistent 5-dimensional $$ \mathcal{N} $$ N = 1 supergravity theories. We focus on a special class of BPS…”
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Tate’s algorithm and F-theory
Published in The journal of high energy physics (01-08-2011)“…The “Tate forms” for elliptically fibered Calabi-Yau manifolds are reconsidered in order to determine their general validity. We point out that there were some…”
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New Higgs transitions between dual N = 2 string models
Published in Nuclear physics. B (06-01-1997)“…We describe a new kind of transition between topologically distinct N = 2 type II Calabi-Yau vacua through points with enhanced non-abelian gauge symmetries…”
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Supersymmetric configurations, geometric transitions and new non-Kähler manifolds
Published in Nuclear physics. B (21-11-2011)“…We give a detailed derivation of a supersymmetric configuration of wrapped D5 branes on a two-cycle of a warped resolved conifold. Our analysis reveals that…”
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SU(N) Transitions in M-Theory on Calabi–Yau Fourfolds and Background Fluxes
Published in Communications in mathematical physics (01-04-2017)“…We study M-theory on a Calabi–Yau fourfold with a smooth surface S of A N –1 singularities. The resulting three-dimensional theory has a N = 2 SU ( N ) gauge…”
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Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors
Published in Journal of statistical physics (01-02-1984)Get full text
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