paper

Supersymmetric fluxbrane intersections and closed string tachyons

arXiv:hep-th/0110107 · doi:10.1088/1126-6708/2001/11/065

Abstract

We consider NS-NS superstring model with several ``magnetic'' parameters (s=1, ...,N) associated with twists mixing a compact direction with angles in spatial 2-planes of flat 10-dimensional space. It generalizes the Kaluza-Klein Melvin model which has single parameter . The corresponding U-dual background is a R-R type IIA solution describing an orthogonal intersection of flux 7-branes. Like the Melvin model, the NS-NS string model with continuous parameters is explicitly solvable; we present its perturbative spectrum and torus partition function explicitly for the N=2 case. For generic (above some critical values) there are tachyons in the winding sector. A remarkable feature of this model is that while in the Melvin N=1 case all supersymmetry is broken, a fraction of it may be preserved for by making a special choice of the parameters . Such solvable NS-NS models may be viewed as continuous-parameter analogs of non-compact orbifold models. They and their U-dual R-R fluxbrane counterparts may have some ``phenomenological'' applications. In particular, in N=3 case one finds a special 1/4 supersymmetric R-R 3-brane background. Putting Dp-branes in flat twisted NS-NS backgrounds leads to world-volume gauge theories with reduced amount of supersymmetry. We also discuss possible ways of evolution of unstable backgrounds towards stable ones.

26 pages, harvmac. v3: reference added, minor changes in appendix

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