The Cascade is a MMS Instanton

Abstract

Wrap m D5-branes around the 2-cycle of a conifold, place n D3-branes at a point and watch the system relax. The D5-branes source m units of RR 3-form flux on the 3-cycle, which cause dielectric NS5-branes to nucleate and repeatedly sweep out the 3-cycle, each time gaining m units of D3-charge while the stack of D5-branes loses m units of D3-charge. A similar description of the Klebanov-Strassler cascade has been proposed by Kachru, et al. when m>>m-n. Using the T-dual MQCD we argue that the above process occurs for any m and n and in particular may continue for more than one step. The nonbaryonic roots of the SQCD vacua lead to new cascades because, for example, the 3-cycle swept does not link all of the D5's. This decay is the S-dual of a MMS instanton, which is the decay into flux of a brane that is trivial in twisted K-theory. This provides the first evidence for the S-dual of the K-theory classification that does not itself rely upon any strong/weak duality.

32 Pages, 5 eps Figures

References in corpus (4)

• On a generalized Connes-Hochschild-Kostant-Rosenberg theorem
• IIB Soliton Spectra with All Fluxes Activated
• Instantonic Branes, Atiyah-Hirzebruch Spectral Sequence, and SL(2,Z) duality of N=4 SYM
• Topics on D-brane charges with B-fields

Cited by in corpus (7)

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• The N=2 cascade revisited and the enhancon bearings
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• Flux Compactifications on Projective Spaces and The S-Duality Puzzle
• Comments on the N=1 SU(M+p)xSU(p) quiver gauge theory with flavor
• Minkowski vacuum transitions in (non-geometric) flux compactifications