Work

Exactly marginal parafermions

Year: 2011

Type: article

Abstract: We introduce four families of nonunitary coset conformal field theories which generalize the Wess-Zumino-Witten models on the supergroups $\mathrm{PSU}(n|n)$ and $\mathrm{OSP}(2n+2|2n)$. We show that these coset theories admit perturbations which are marginal at 2 loops and we argue in favor of their exact marginality. Finally, we discuss the implications of our findings for the sigma models on symmetric superspaces, affine Toda and Gross-Neveu models which are believed to arise as certain limits of the coset theories.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.84.051704

Authors: Constantin Candu, Volker Schomerus

Institution: Deutsches Elektronen-Synchrotron DESY

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: London Mathematical Society, King's College London, Science and Technology Facilities Council, Menzies Centre for Australian Studies, King's College London, University of London

Award: G608922719