Fuzzy Cosets and their Gravity Duals

Abstract

Dp-branes placed in a certain external RR (p+4)-form field expand into a transverse fuzzy two-sphere, as shown by Myers. We find that by changing the (p+4)-form background other fuzzy cosets can be obtained. Three new examples, S^2 X S^2, CP^2 and SU(3)/(U(1) X U(1)) are constructed. The first two are four-dimensional while the last is six-dimensional. The dipole and quadrupole moments which result in these configurations are discussed. Finally, the gravity backgrounds dual to these vacua are examined in a leading order approximation. These are multi-centered solutions containing (p+4)- or (p+6)-dimensional brane singularities.

36 pages, harvmac, no figures, two references added

References in corpus (3)

• Marginal and Relevant Deformations of N=4 Field Theories and Non-Commutative Moduli Spaces of Vacua
• N=1 Supersymmetric Renormalization Group Flows from IIB Supergravity
• Fuzzy Spheres in AdS/CFT Correspondence and Holography from Noncommutativity

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