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Shifman, M.

Publications and source records attributed to Shifman, M..

Musings on the current status of HEP

I give a brief review of theoretical high energy physics as we know it today in the general picture of quantum physics. Furthermore, prospects for future developments are outlined.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Quantizing a solitonic string

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 critical strings with conformal 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 argue 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) N = 2 SQCD with the gauge group U(N) and Nf quark multiplets where N f ≥ 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 N = (2, 2) supersymmetric weighted model, namely, WCP (N, N f – 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.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗