Izvorni znanstveni članak

https://doi.org/10.21857/94kl4c1j8m

Logarithmic vertex algebras related to sp(4)

Dražen Adamović ; Department of Mathematics, Faculty of Science, University of Zagreb, 10 000 Zagreb, Croatia
Antun Milas ; Department of Mathematics and Statistics, SUNY-Albany, Albany NY 12222, USA

Sažetak

We present several results and conjectures pertaining to parafermion vertex algebra and related logarithmic vertex algebras. Starting from the tensor product of two copies of the singlet vertex algebra M(2), we consider various subalgebras that appear in its decomposition including N-1(sl(2)) and its Z2-fixed point algebra, and the S2-symmetric orbifold of the singlet vertex algebra M(2). In particular, we show that N-1(sl(2)) has an extension to a W-algebra of type (2, 3, 4, 5, 6, 7, 8). Finally we state some conjectures about singlet and triplet type W-algebras of type sp(4) and their characters.

Ključne riječi

Vertex algebra; parafermion algebra

Hrčak ID:

313634

URI

https://hrcak.srce.hr/313634

Datum izdavanja:

24.1.2024.

Posjeta: 541 *