Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 54, Issue 43, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ac2716
Keywords
supersymmetric gauge theory; defects; supergroups; Chern-Simons theory; topological strings
Categories
Funding
- 'Investissements d'Avenir' program
- EIPHI Graduate School [ANR-17-EURE-0002]
- Bourgogne-Franche-Comte region
- Alexander von Humboldt Foundation
- DESY theory group
- French embassy in Germany
- DAAD
- Project ISITE-BFC [ANR-15-IDEX-0003]
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By studying 5d supersymmetric gauge theories with unitary groups in the omega background and intersecting defects, we reveal the relationship between instanton and generalized vortex calculus. In a simplified scenario, we identify the dual supergroup theory for intersecting defects as the supergroup version of refined Chern-Simons theory via open/closed duality.
We consider 5d supersymmetric gauge theories with unitary groups in the omega-background and study codim-2/4 BPS defects supported on orthogonal planes intersecting at the origin along a circle. The intersecting defects arise upon implementing the most generic Higgsing (geometric transition) to the parent higher dimensional theory, and they are described by pairs of 3d supersymmetric gauge theories with unitary groups interacting through 1d matter at the intersection. We explore the relations between instanton and generalized vortex calculus, pointing out a duality between intersecting defects subject to the omega-background and a deformation of supergroup gauge theories, the exact supergroup point being achieved in the self-dual or unrefined limit. Embedding our setup into refined topological strings and in the simplest case when the parent 5d theory is Abelian, we are able to identify the supergroup theory dual to the intersecting defects as the supergroup version of refined Chern-Simons theory via open/closed duality. We also discuss the BPS/CFT side of the correspondence, finding an interesting large rank duality with super-instanton counting.
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