Abstract
Abstract
We investigate the fusion of B-type interfaces in two-dimensional supersymmetric Landau-Ginzburg models. In particular, we propose to describe the fusion of an interface in terms of a fusion functor that acts on the category of modules of the underlying polynomial rings of chiral superfields. This uplift of a functor on the category of matrix factorisations simplifies the actual computation of interface fusion. Besides a brief discussion of minimal models, we illustrate the power of this approach in the SU(3)/U(2) Kazama-Suzuki model where we find fusion functors for a set of elementary topological defects from which all rational B-type topological defects can be generated.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference57 articles.
1. J. Fröhlich, J. Fuchs, I. Runkel and C. Schweigert, Kramers-Wannier duality from conformal defects, Phys. Rev. Lett. 93 (2004) 070601 [cond-mat/0404051] [INSPIRE].
2. C. P. Bachas, On the symmetries of classical string theory, talk given at the Workshop on Quantum Mechanics of Fundamental Systems: the Quest for Beauty and Simplicity , January 10–1,Valdivia, Chile (2009) [arXiv:0808.2777] [INSPIRE].
3. C. Bachas, I. Brunner and D. Roggenkamp, A worldsheet extension of O(d, d : Z), JHEP 10 (2012) 039 [arXiv:1205.4647] [INSPIRE].
4. J. Fröhlich, J. Fuchs, I. Runkel and C. Schweigert, Defect lines, dualities, and generalised orbifolds, arXiv:0909.5013 [INSPIRE].
5. N. Carqueville and I. Runkel, Orbifold completion of defect bicategories, Quantum Topol. 7 (2016) 203 [arXiv:1210.6363] [INSPIRE].
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Topological defects in K3 sigma models;Journal of High Energy Physics;2024-07-11