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Improved bounds for CFT's with global symmetries | | Alessandro Vichi
; | | Date: |
20 Jun 2011 | | Abstract: | The four point functions of a Conformal Field Theories (CFT’s) with global
symmetry gives rise to multiple crossing symmetry constraints. We explicitly
study the correlator of four scalar operators transforming in the fundamental
representation of a global SO(N) and the correlator of chiral and anti-chiral
superfields in a superconformal field theory. In both cases the constraints
take the form of a triple sum rule, whose feasibility can be translated into
restrictions on the CFT spectrum and interactions. In the case of SO(N) global
symmetry we derive bounds for the first scalar singlet operator entering the
Operator Product Expansion (OPE) of two fundamental representations for
different value of N. Bounds for the first scalar traceless-symmetric
representation of the global symmetry are computed as well. Results for
superconformal field theories improve previous investigations due to the use of
the full set of constraints. Our analysis only assumes unitarity of the CFT,
crossing symmetry of the four point function and existence of an OPE for
scalars. | | Source: | arXiv, 1106.4037 | | Services: | Forum | Review | PDF | Favorites | |
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