Elliptic Genus of Phases of N = 2 Theories
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- 作者：Anatoly Libgober
- 刊名：Communications in Mathematical Physics
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：340
- 期：3
- 页码：939-958
- 全文大小：578 KB
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1. Department of Mathematics, University of Illinois, Chicago, IL, 60607, USA - 刊物类别：Physics and Astronomy
- 刊物主题：Physics
Mathematical and Computational Physics
Quantum Physics
Quantum Computing, Information and Physics
Complexity
Statistical Physics
Relativity and Cosmology - 出版者：Springer Berlin / Heidelberg
- ISSN：1432-0916
文摘
We discuss an algebro-geometric description of Witten’s phases of N = 2 theories and propose a definition of their elliptic genus provided some conditions on singularities of the phases are met. For Landau–Ginzburg phase one recovers elliptic genus of LG models proposed in physics literature in early 1990s. For certain transitions between phases we derive invariance of elliptic genus from an equivariant form of McKay correspondence for elliptic genus. As special cases one obtains Landau–Giznburg/Calabi–Yau correspondence for elliptic genus of weighted homogeneous potentials as well as certain hybrid/CY correspondences. Communicated by H. OoguriAuthor supported by a grant from Simons Foundation.