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- W2952079173 abstract "The Romelsberger index on S^3 x R serves as a powerful test for conjectured dualities, relying on the claim that this object is an RG-invariant. In this work we support this claim by showing that the singularities suggested by Witten of states moving in from infinity are excluded on S^3 x R. In addition, we provide an application of the Romelsberger index, in the form of a constraint on the RG flow of supersymmetric theories. The constraint, which applies for asymptotically free theories with unbroken supersymmetry and non-anomalous R-symmetry, is the following: if the R-charges of the chiral multiplets in the UV theory are 0<q_i<2 and the IR theory can be described as a free theory of chiral bound states, then the R-charges of these bound states, ~q_j, are constrained such that 0<~q_j<2. We thus provide a proof of a weak version of a conjecture proposed by Intriligator. We mention some applications of this result." @default.
- W2952079173 created "2019-06-27" @default.
- W2952079173 creator A5084242339 @default.
- W2952079173 date "2013-11-03" @default.
- W2952079173 modified "2023-09-27" @default.
- W2952079173 title "Constraints on the R-charges of Free Bound States from the Romelsberger Index" @default.
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