Logarithmic W-algebras and Argyres-Douglas theories at higher rank

Creutzig T (2018)

Publication Type: Journal article

Publication year: 2018

Journal

Journal of High Energy Physics Springer Verlag (Germany) / Institute of Physics / Scuola Internazionale Superiore di Studi Avanzati (SISSA)

Book Volume: 2018

Article Number: 188

Journal Issue: 11

DOI: 10.1007/JHEP11(2018)188

Abstract

Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and Tipunin and they are also obtained as modifications of semiclassical limits of vertex algebras appearing in the context of S-duality for four-dimensional gauge theories. In the case of type A and principal nilpotent element the character agrees precisely with the Schur-Index formula for corresponding Argyres-Douglas theories with irregular singularities. For other nilpotent elements they are identified with Schur-indices of type IV Argyres-Douglas theories. Further, there is a conformal embedding pattern of these vertex operator algebras that nicely matches the RG-flow of Argyres-Douglas theories as discussed by Buican and Nishinaka.

Involved external institutions

University of Alberta CA Canada (CA)

How to cite

APA:

Creutzig, T. (2018). Logarithmic W-algebras and Argyres-Douglas theories at higher rank. Journal of High Energy Physics, 2018(11). https://doi.org/10.1007/JHEP11(2018)188

MLA:

Creutzig, Thomas. "Logarithmic W-algebras and Argyres-Douglas theories at higher rank." Journal of High Energy Physics 2018.11 (2018).

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