Bounds on $\mathcal{N}=1$ Superconformal Theories with Global Symmetries
| Autor: | Amir Zait, Ran Yacoby, Micha Berkooz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Physics
High Energy Physics - Theory Nuclear and High Energy Physics Operator (physics) Scalar (mathematics) Spectrum (functional analysis) FOS: Physical sciences Field (mathematics) Function (mathematics) Global symmetry High Energy Physics::Theory High Energy Physics - Theory (hep-th) Homogeneous space Abelian group Mathematical physics |
| Zdroj: | Journal of High Energy Physics |
| Popis: | Recently, the conformal-bootstrap has been successfully used to obtain generic bounds on the spectrum and OPE coefficients of unitary conformal field theories. In practice, these bounds are obtained by assuming the existence of a scalar operator in the theory and analyzing the crossing-symmetry constraints of its 4-point function. In $\mathcal{N}=1$ superconformal theories with a global symmetry there is always a scalar primary operator, which is the top of the current-multiplet. In this paper we analyze the crossing-symmetry constraints of the 4-point function of this operator for $\mathcal{N}=1$ theories with $SU(N)$ global symmetry. We analyze the current-current OPE, and derive the superconformal blocks, generalizing the work of Fortin, Intrilligator and Stergiou to the non-Abelian case and finding new superconformal blocks which appear in the Abelian case. We then use these results to obtain bounds on the coefficient of the current 2-point function. Corrected error in analysis for U(1) symmetry |
| Databáze: | OpenAIRE |
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