Abstract
In this paper two issues are addressed. First, we discuss renormalization properties of a class of gauged linear sigma models (GLSM), which reduce to WCP(N,Ñ) nonlinear sigma models (NLSM) in the low-energy limit. Sometimes they are referred to as the Hanany-Tong models. If supersymmetry is N=(2,2) the ultraviolet-divergent logarithm in GLSM appears, in the renormalization of the Fayet-Iliopoulos parameter, and is exhausted by a single tadpole graph. This is not the case in the daughter NLSMs. As a result, the one-loop renormalizations are different in GLSMs and their daughter NLSMs. We explain this difference and identify its source. In particular, we show why at N=Ñ there is no UV logarithm in the parent GLSM, while they do appear in the corresponding NLSM. In the second part of the paper we discuss the same problem for a class of N=(0,2) GLSMs considered previously. In this case renormalization is not limited to one loop; all orders exact β functions for GLSMs are known. We discuss logarithmically divergent loops at one- and two-loop levels.
| Original language | English (US) |
|---|---|
| Article number | 025007 |
| Journal | Physical Review D |
| Volume | 101 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jan 14 2020 |
Bibliographical note
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