4.5 Article

A nilpotency index of conformal manifolds

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP10(2020)183

关键词

Conformal Field Theory; Supersymmetric Gauge Theory

资金

  1. Simons Foundation [488657]
  2. Israel Science Foundation [2289/18, 1937/12]
  3. I-CORE Program of the Planning and Budgeting Committee
  4. Clore Scholars Programme
  5. BSF [2018204]
  6. Israel Science Foundation center for excellence grant

向作者/读者索取更多资源

We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to associate an integer to the conformal manifold, which we call the nilpotency index of the conformal manifold. We discuss several examples in diverse dimensions where we demonstrate these facts and compute the nilpotency index.

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