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On the Rozansky-Witten TQFT
Published 2020“…This thesis studies a potential method for constructing the Rozansky--Witten TQFT as an extended $(1+1+1)$-TQFT. A monoidal $2$-category consisting of schemes, complexes of sheaves and sheaf morphisms is constructed, and it is shown that there are $(1+1)$-TQFTs valued in the truncation of this category, whose state spaces agree with the Rozansky--Witten TQFT. …”
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Anatomy of geodesic Witten diagrams
Published 2017-05-01“…Abstract We revisit the so-called “Geodesic Witten Diagrams” (GWDs) [1], proposed to be the holographic dual configuration of scalar conformal partial waves, from the perspectives of CFT operator product expansions. …”
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Spinning geodesic Witten diagrams
Published 2018“…We highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.…”
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On the quantization of Seiberg-Witten geometry
Published 2021“…We propose a double quantization of four-dimensional 𝒩 = 2 Seiberg-Witten geometry, for all classical gauge groups and a wide variety of matter content. …”
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Gromov–Witten gauge theory
Published 2015“…We introduce a modular completion of the stack of maps from stable marked curves to the quotient stack [pt/C^x], and use this stack to construct some gauge-theoretic analogues of the Gromov-Witten invariants. We also indicate the generalization of these invariants to the quotient stacks [X=C^x], where X is a smooth proper complex algebraic variety.…”
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Witten index and wall crossing
Published 2015“…We compute the Witten index of one-dimensional gauged linear sigma models with at least N = 2 supersymmetry. …”
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On the singular sets of solutions to the Kapustin–Witten equations and the Vafa–Witten ones on compact Kähler surfaces
Published 2018“…This article finds a structure of singular sets on compact Kähler surfaces, which Taubes introduced in the studies of the asymptotic analysis of solutions to the Kapustin– Witten equations and the Vafa–Witten ones originally on smooth four-manifolds. …”
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Witten diagrams for torus conformal blocks
Published 2017-09-01“…We show that the conformal blocks for one-point functions on the torus can be written as Witten diagrams in thermal AdS. This is accomplished by deriving a general conformal Casimir equation for global conformal blocks, and showing that Witten diagrams obey the same equation. …”
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Celestial amplitudes as AdS-Witten diagrams
Published 2022-11-01“…Moreover, we show they can be simply rewritten in terms of AdS3-Witten contact diagrams which evaluate to the well-known D-functions, thereby forging a direct connection between flat and AdS holography.…”
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AdS Witten diagrams to Carrollian correlators
Published 2023-04-01“…In this paper, drawing inspiration from Celestial holography, we show by a suitable generalisation of the flat space limit of AdS that keeps track of the previously disregarded null direction, one can reproduce Carrollian CFT correlation functions from AdS Witten diagrams. In particular, considering Witten diagrams in AdS4, we reproduce two and three-point correlation functions for three dimensional Carrollian CFTs in the so-called delta-function branch. …”
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Bethe-state counting and Witten index
Published 2023-09-01“…We count the physical Bethe states of quantum integrable models with twisted boundary conditions using the Witten index of 2d supersymmetric gauge theories. …”
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Poisson gauge models and Seiberg-Witten map
Published 2022-11-01“…The arbitrariness in the construction of Poisson gauge models is addressed in terms of Seiberg-Witten maps, i.e., invertible field redefinitions mapping gauge orbits onto gauge orbits.…”
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Seiberg-Witten curves with O7 ± -planes
Published 2023-11-01“…Abstract We construct Seiberg-Witten curves for 5d N $$ \mathcal{N} $$ = 1 gauge theories whose Type IIB 5-brane configuration involves an O7-plane and discuss an intriguing relation between theories with an O7+-plane and those with an O7 − -plane and 8 D7-branes. …”
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Neutron stars in the Witten-Sakai-Sugimoto model
Published 2023-11-01“…Abstract We utilize the top-down holographic QCD model, the Witten-Sakai-Sugimoto model, in a hybrid setting with the SLy4, soft chiral EFT and stiff chiral EFT equations of state to describe neutron stars with high precision. …”
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Flag Gromov-Witten invariants via crystals
Published 2014-01-01Subjects: “…flag gromov-witten invariants…”
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Heterotic global anomalies and torsion Witten index
Published 2022-10-01“…Perturbative anomalies correspond to the Witten index of some class of SQFTs, while global anomalies correspond to a torsion version of the Witten index. …”
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