Using a reformulation of topological N = 2 QFT’s in M-theory setup, where QFT is realized via M5 branes wrapping co-associative cycles in a G2 manifold constructed from the space of self-dual 2-forms over a four-fold X, we show that superconducting vortices are mapped to M2 branes stretched between M5 branes. This setup provides a physical explanation of Taubes’ construction of the Seiberg-Witten invariants when X is symplectic and the superconducting vortices are realized as pseudo-holomorphic curves. This setup is general enough to realize topological QFT’s arising from N = 2 QFT’s from all Gaiotto theories on arbitrary 4-manifolds. © 2020, The Author(s).

G(2) holonomy, Taubes' construction of Seiberg-Witten invariants and superconducting vortices / Cecotti, Sergio; Gerig, Chris; Vafa, Cumrun. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2020:4(2020), pp. 1-20. [10.1007/JHEP04(2020)038]

G(2) holonomy, Taubes' construction of Seiberg-Witten invariants and superconducting vortices

Sergio Cecotti;
2020

Abstract

Using a reformulation of topological N = 2 QFT’s in M-theory setup, where QFT is realized via M5 branes wrapping co-associative cycles in a G2 manifold constructed from the space of self-dual 2-forms over a four-fold X, we show that superconducting vortices are mapped to M2 branes stretched between M5 branes. This setup provides a physical explanation of Taubes’ construction of the Seiberg-Witten invariants when X is symplectic and the superconducting vortices are realized as pseudo-holomorphic curves. This setup is general enough to realize topological QFT’s arising from N = 2 QFT’s from all Gaiotto theories on arbitrary 4-manifolds. © 2020, The Author(s).
2020
4
1
20
38
http://arxiv.org/abs/1909.10453v4
Cecotti, Sergio; Gerig, Chris; Vafa, Cumrun
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/111330
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