2013/11/03 by Efrat Gerchkovitz, Gerchkovitz, Efrat · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.1311.0487
22 pages
arxiv created 2013/11/03 · openalex publication_date 2013/11/03 · arxiv updated 2013/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Römelsberger index on S3 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 S3 x R. In addition, we provide an application of the Römelsberger 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<qi<2 and the IR theory can be described as a free theory of chiral bound states, then the R-charges of these bound states, ~qj, are constrained such that 0<~qj<2. We thus provide a proof of a weak version of a conjecture proposed by Intriligator. We mention some applications of this result.