2019/05/31 by M. Shifman, A. Yung
Physics and Astronomy · #hep-th #hep-ph
paper · pdf · doi:10.1007/jhep12(2019)050
29 pages, 2 figs. arXiv admin note: text overlap with arXiv:1805.10989, arXiv:1704.00825. V.2: typos corrected V.2 Section 3 is extended and Appendix added, V3 An explanatory comment is added in Sec. 2
arxiv created 2019/08/08 · arxiv updated 2020/01/29
Quite often the zero mode dynamics on solitonic vortices are described by a non-conformal effective world-sheet sigma model (WSSM). We address the problem of solitonic string quantization in this case. As well-known, only crfitical strings with superconformal WSSMs are self-consistent in ultra-violet (UV) domain. Thus, we look for the appropriate UV completion of the low-energy non-conformal WSSM. We ague that for the solitonic strings supported in well-defined bulk theories the UV complete WSSM has a UV fixed point which can be used for string quantization. As an example, we consider BPS non-Abelian vortices supported by four-dimensional (4D) \ntwo SQCD with the gauge group U(N) and Nf quark multiplets where Nf≥ N. In addition to translational moduli the non-Abelian vortex under consideration carries orientational and size moduli. Their low-energy dynamics are described by a two-dimensional \ntwot supersymmetric weighted model, namely, \mathbbWCP(N, Nf-N). Given our UV completion of this WSSM we find its UV fixed point. The latter defines a superconformal WSSM. We observe two cases in which this conformal WSSM, combined with the free theory for four translational moduli, has ten-dimensional target space required for superstrings to be critical.