2019/09/23 by Sergio Cecotti, Cecotti, Sergio, Chris Gerig +3
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)
paper · pdf · doi:10.48550/arxiv.1909.10453
openalex publication_date 2019/09/23 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
Using a reformulation of topological cal N=2 QFT's in M-theory setup,\nwhere QFT is realized via M5 branes wrapping co-associative cycles in a G2\nmanifold constructed from the space of self-dual 2-forms over X4, we show\nthat superconducting vortices are mapped to M2 branes stretched between M5\nbranes. This setup provides a physical explanation of Taubes' construction of\nthe Seiberg-Witten invariants when X4 is symplectic and the superconducting\nvortices are realized as pseudo-holomorphic curves. This setup is general\nenough to realize topological QFT's arising from cal N=2 QFT's from all\nGaiotto theories on arbitrary 4-manifolds.\n