Supersymmetric fluxbrane intersections and closed string tachyons

TL;DR

This paper introduces a solvable class of NS-NS superstring models with multiple magnetic parameters, explores their spectrum, supersymmetry properties, and U-dual fluxbrane solutions, revealing tachyonic instabilities and potential phenomenological applications.

Contribution

It generalizes the Melvin model to multiple parameters, explicitly solves the spectrum for N=2, and identifies conditions for partial supersymmetry preservation and tachyonic instabilities.

Findings

Presence of tachyons above critical parameters.

Partial supersymmetry preservation for N>1 with special parameter choices.

Explicit spectrum and partition function for N=2 case.

Abstract

We consider NS-NS superstring model with several ``magnetic'' parameters $b_s$ (s=1, ...,N) associated with twists mixing a compact $S^1$ direction with angles in $N$ spatial 2-planes of flat 10-dimensional space. It generalizes the Kaluza-Klein Melvin model which has single parameter $b$. The corresponding U-dual background is a R-R type IIA solution describing an orthogonal intersection of $N$ flux 7-branes. Like the Melvin model, the NS-NS string model with $N$ continuous parameters is explicitly solvable; we present its perturbative spectrum and torus partition function explicitly for the N=2 case. For generic $b_s$ (above some critical values) there are tachyons in the $S^1$ 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 $N >1$ by making a special choice of the parameters $b_s$. 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.