S-duality for the Large N = 4 Superconformal Algebra

Creutzig T, Gaiotto D, Linshaw AR (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Communications in Mathematical Physics Springer Verlag (Germany)

Book Volume: 374

Pages Range: 1787-1808

Journal Issue: 3

DOI: 10.1007/s00220-019-03673-4

Abstract

We prove some conjectures about vertex algebras which emerge in gauge theory constructions associated to the geometric Langlands program. In particular, we present the conjectural kernel vertex algebra for the ST2S duality transformation in SU(2) gauge theory. We find a surprising coincidence, which gives a powerful hint about the nature of the corresponding duality wall. Concretely, we determine the branching rules for the small N= 4 superconformal algebra at central charge - 9 as well as for the generic large N= 4 superconformal algebra at central charge - 6. Moreover we obtain the affine vertex superalgebra of osp(1 | 2) and the N= 1 superconformal algebra times a free fermion as quantum Hamiltonian reductions of the large N= 4 superconformal algebras at c= - 6.

Authors with CRIS profile

Thomas Creutzig

Involved external institutions

Perimeter Institute for Theoretical Physics CA Canada (CA) University of Denver US United States (USA) (US) University of Alberta CA Canada (CA)

How to cite

APA:

Creutzig, T., Gaiotto, D., & Linshaw, A.R. (2020). S-duality for the Large N = 4 Superconformal Algebra. Communications in Mathematical Physics, 374(3), 1787-1808. https://doi.org/10.1007/s00220-019-03673-4

MLA:

Creutzig, Thomas, Davide Gaiotto, and Andrew R. Linshaw. "S-duality for the Large N = 4 Superconformal Algebra." Communications in Mathematical Physics 374.3 (2020): 1787-1808.

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