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Glueball Spectra of SQCD-like Theories

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arxiv 0912.1600 v2 pith:5SL3HFKO submitted 2009-12-09 hep-th

Glueball Spectra of SQCD-like Theories

classification hep-th
keywords backgroundsspectrabranescy3-foldfive-dimensionalglueballgravityinside
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the spectrum of scalar glueballs in SQCD-like theories whose gravity description is in terms of Nc D5 color branes wrapped on an S^2 inside a CY3-fold, and Nf backreacting D5 flavor branes wrapped on a non-compact two-cycle inside the same CY3-fold. We show that there exists a consistent truncation of the ten-dimensional Type IIB supergravity system to a five-dimensional non-linear sigma model consisting of four scalars coupled to gravity. Studying fluctuations of the scalars as well as the metric around particular backgrounds allows us to compute their spectra. A few different backgrounds share the same qualitative features, namely that the mass of the lightest scalar glueball increases as the number of flavors is increased, until one reaches the point Nf = 2 Nc after which the opposite behaviour is obtained. We show that the five-dimensional non-linear sigma model obeys Seiberg duality, and demonstrate this explicitly for the spectra of a class of backgrounds that are Seiberg dual to themselves.

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