Affine Laumon Spaces and Iterated W -Algebras

Creutzig T, Diaconescu DE, Ma M (2023)

Publication Type: Journal article

Publication year: 2023

Journal

Communications in Mathematical Physics Springer Verlag (Germany)

Book Volume: 402

Pages Range: 2133-2168

Journal Issue: 3

DOI: 10.1007/s00220-023-04754-1

Abstract

A family of vertex algebras whose universal Verma modules coincide with the cohomology of affine Laumon spaces is found. This result is based on an explicit expression for the generating function of Poincaré polynomials of these spaces. There is a variant of quantum Hamiltonian reduction that realizes vertex algebras which we call iterated W -algebras and our main conjecture is that the vertex algebras associated to the affine Laumon spaces are subalgebras of iterated W -algebras.

Involved external institutions

University of Alberta CA Canada (CA) Rutgers, The State University of New Jersey US United States (USA) (US)

How to cite

APA:

Creutzig, T., Diaconescu, D.E., & Ma, M. (2023). Affine Laumon Spaces and Iterated W -Algebras. Communications in Mathematical Physics, 402(3), 2133-2168. https://doi.org/10.1007/s00220-023-04754-1

MLA:

Creutzig, Thomas, Duiliu Emanuel Diaconescu, and Mingyang Ma. "Affine Laumon Spaces and Iterated W -Algebras." Communications in Mathematical Physics 402.3 (2023): 2133-2168.

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