BPS states of strings in 3-form flux

Abstract

We count the BPS states of strings in uniform 3-form fluxes, using supersymmetric quantum mechanics derived from the κ-symmetric action for D-branes. This problem is relevant to the stringy physics of warped compactifications. We work on a type IIB T 6 /Z 2 orientifold with imaginary selfdual, quantized, 3-form flux. Ignoring the orientifold projection, the number of short multiplets living on a single string is the square of the units of 3-form flux present on the torus; the orientifold removes roughly half of the multiplets. We review the well-known case of a superparticle on T 2 as a pedagogical example.

Strings and D-branes in a supersymmetric magnetic flux background

“…Studies of Dp brane classical solutions in flat space can be found for example in [7] and more recently [8]. Different studies of the conditions to have supersymmetric Dp branes in some supersymmetric compactifications with Ramond-Ramond (RR) fluxes are in [9,10,11].…”