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pro vyhledávání: '"Vafa, A"'
Autor:
Nackan, Danny
Gaiotto, Moore, and Neitzke predicted that the hyperk\"ahler Ooguri-Vafa space $\mathcal{M}^{\rm ov}$ should provide a local model for Hitchin moduli spaces near the discriminant locus. To this end, Tulli identified $\mathcal{M}^{\rm ov}$ with a cert
Externí odkaz:
http://arxiv.org/abs/2409.19789
The 6d (2,0) theory of $N$ M5 branes compactified on the product geometry $T^2\times S$, where $S$ is a K\"ahler 4-manifold, can be studied in two different limits. In one limit, the size of $T^2$ is taken to zero and together with a topological twis
Externí odkaz:
http://arxiv.org/abs/2409.19397
Autor:
Taubes, Clifford Henry
This paper constructs sequences of solutions to the Vafa-Witten equations with non-zero (but small) mass term on the product of a 2-dimensional torus with a Riemann surface of genus greater than 1. These are divergent sequences (modulo principle bund
Externí odkaz:
http://arxiv.org/abs/2409.14959
Autor:
Davison, Ben, Koseki, Naoki
We investigate the Gopakumar-Vafa (GV) theory of local curves, namely, the total spaces of rank two vector bundles with canonical determinant on smooth projective curves. Under a certain genericity condition on the rank two bundles, we propose a gene
Externí odkaz:
http://arxiv.org/abs/2408.11698
Autor:
Nesterov, Denis
Kim, Kresch and Oh defined unramified Gromov-Witten invariants. For a threefold, Pandharipande conjectured that they are equal to Gopakumar-Vafa invariants (BPS invariants) in the case of Fano classes and primitive Calabi-Yau classes. We prove the co
Externí odkaz:
http://arxiv.org/abs/2405.18398
Autor:
Chou, You-Cheng
We give an alternate proof of the integrality conjecture of genus zero Gopakumar-Vafa type invariants on semi-positive varieties using algebraic geometry. The main technique is to relate Gopakumar-Vafa type invariants to quantum $K$-invariants and to
Externí odkaz:
http://arxiv.org/abs/2312.01413
Autor:
Taubes, Clifford Henry
The Vafa-Witten equations (with or without a mass term) constitute a non-linear, first order system of differential equations on a given oriented, compact, Riemannian 4-manifold. Because these are the variational equations of a functional, the linear
Externí odkaz:
http://arxiv.org/abs/2401.13419
Autor:
Heidmann, Pierre
We construct a regular bound state of two extremal black holes in type IIB supergravity with opposite charges. The bound state resembles the Schwarzschild black hole from the asymptotics to the photon ring and has the same mass and charges as the Sch
Externí odkaz:
http://arxiv.org/abs/2312.12496
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Autor:
Rudelius, Tom
The Emergent String Conjecture of Lee, Lerche, and Weigand holds that every infinite-distance limit in the moduli space of a quantum gravity represents either a decompactification limit or an emergent string limit in some duality frame. Within the co
Externí odkaz:
http://arxiv.org/abs/2309.10024