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| Nonabelian Gauged Linear Sigma Model |
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Citation： |
Yongbin RUAN.Nonabelian Gauged Linear Sigma Model[J].Chinese Annals of Mathematics B,2017,38(4):963~984 |
| Page view： 2996
Net amount： 1659 |
Authors： |
Yongbin RUAN; |
Foundation： |
This work was supported by the Natural Science
Foundation (Nos.DMS 1159265, DMS 1405245). |
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| Abstract： |
The gauged linear sigma model (GLSM for short) is a 2d quantum field
theory introduced by Witten twenty years ago. Since then, it has
been investigated extensively in physics by Hori and others.
Recently, an algebro-geometric theory (for both abelian and
nonabelian GLSMs) was developed by the author and his collaborators
so that he can start to rigorously compute its invariants and check
against physical predications. The abelian GLSM was relatively
better understood and is the focus of current mathematical
investigation. In this article, the author would like to look over
the horizon and consider the nonabelian GLSM. The nonabelian case
possesses some new features unavailable to the abelian GLSM. To aid
the future mathematical development, the author surveys some of the
key problems inspired by physics in the nonabelian GLSM. |
Keywords： |
GIT quotient, Stability condition, GLSM |
Classification： |
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