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A bispinor formalism for spinning Witten diagrams
Published 2022“…These operators, together with a set of differential operators in AdS4, can be used to relate Witten diagrams with spinning external legs to Witten diagrams with only scalar external legs. …”
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Non-Abelian statistics versus the Witten anomaly
Published 2012“…We argue that a single Majorana zero mode of the monopole is not compatible with cancellation of the Witten SU(2) anomaly. We also compare this approach with other attempts to realize deconfined non-Abelian objects in 3+1 dimensions.…”
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Tetrahedron diagram in Chern-Simons-witten theory
Published 2005Get full text
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Non-standard axion electrodynamics and the dual Witten effect
Published 2024-01-01“…We show that these non-standard couplings can be derived from SL(2,ℤ) duality, but that they come at a substantial cost: in non-standard axion electrodynamics, all electrically charged particles become dyons when the axion traverses its field range, in a dual form of the standard Witten effect monodromy. This implies that there are dyons near the weak scale, leads to a large axion mass induced by Standard Model fermion loops, and dramatically alters Higgs physics. …”
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Recursion relations in Witten diagrams and conformal partial waves
Published 2019-05-01“…Abstract We revisit the problem of performing conformal block decomposition of exchange Witten diagrams in the crossed channel. Using properties of conformal blocks and Witten diagrams, we discover infinitely many linear relations among the crossed channel decomposition coefficients. …”
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8-Boyutta Hiperbolik Uzaylarda Seiberg –Witten Denklemleri
Published 2017-04-01Subjects: “…Seiberg Witten equations…”
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Open Gromov-Witten Invariants from the Augmentation Polynomial
Published 2017-10-01Subjects: Get full text
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Gromov-Witten/Pairs correspondence for the quintic 3-fold
Published 2018“…The GW/P correspondence for Calabi-Yau complete intersections provides a structure result for the Gromov-Witten invariants in a fixed curve class. After a change of variables, the Gromov-Witten series is a rational function in the variable -q=e[superscript iu] invariant under q ↔ q[subscript -1].…”
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ELLIPTIC COHOMOLOGY [AFTER LANDWEBERSTONG, OCHANINE, WITTEN, AND OTHERS]
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Dirac pairings, one-form symmetries and Seiberg-Witten geometries
Published 2022-09-01Get full text
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Extremal Gromov-Witten invariants of the Hilbert scheme of $3$ Points
Published 2023-01-01“…We determine all the extremal Gromov-Witten invariants of the Hilbert scheme of $3$ points on a smooth projective complex surface. …”
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Competing orders, the Wess-Zumino-Witten term, and spin liquids
Published 2023-01-01“…In this paper, we demonstrate that in frustrated magnets when several conventional (i.e., symmetry-breaking) orders compete, and are “intertwined” by a Wess-Zumino-Witten (WZW) term, the possibility of spin liquid arises. …”
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Analytic results for loop-level momentum space Witten diagrams
Published 2023-12-01Get full text
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Bootstrapping Witten diagrams via differential representation in Mellin space
Published 2023-07-01“…Abstract We explore the use of the differential representation of AdS amplitudes to compute Witten diagrams. The differential representation expresses AdS amplitudes in terms of conformal generators acting on contact Witten diagrams, which allows us to construct differential equations for Witten diagrams. …”
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Vafa-Witten invariants for projective surfaces I: stable case
Published 2019“…On a polarised surface, solutions of the Vafa-Witten equations correspond to certain polystable Higgs pairs. …”
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Vafa-Witten invariants for projective surfaces II: semistable case
Published 2018“…<p>We propose a definition of Vafa-Witten invariants counting semistable Higgs pairs on a polarised surface. …”
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Dessins d’enfants, Seiberg-Witten curves and conformal blocks
Published 2021“…We show how to map Grothendieck’s dessins d’enfants to algebraic curves as Seiberg-Witten curves, then use the mirror map and the AGT map to obtain the corresponding 4d N = 2 supersymmetric instanton partition functions and 2d Virasoro conformal blocks. …”
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