Defect (p,q) Five-branes

Abstract

We study a local description of composite five-branes of codimension two. The formulation is constructed by virtue of $SL(2,\mathbb{Z})\times SL(2,\mathbb{Z})$ monodromy associated with two-torus. Applying conjugate monodromy transformations to the complex structures of the two-torus, we obtain a field configuration of a defect $(p,q)$ five-brane. This is a composite state of $p$ defect NS5-branes and $q$ exotic $5_2^2$-branes. We also obtain a new example of hyper-Kähler geometry. This is an ALG space, a generalization of an ALF space which asymptotically has a tri-holomorphic two-torus action. This geometry appears in the conjugate configuration of a single defect KK5-brane.

22 pages, version published in Nuclear Physics B

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Cited by in corpus (4)

• Exotic branes and non-geometric fluxes
• Defect branes as Alice strings
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes