(NS5,Dp) and (NS5,D(p+2),Dp) bound states of type IIB and type IIA string theories

TL;DR

This paper constructs various bound states involving NS5-branes and Dp-branes in type IIB and type IIA string theories using T-duality and SL(2,Z) symmetry, analyzing their tensions and supersymmetry properties.

Contribution

It systematically derives new bound state solutions of NS5 and Dp-branes in type IIB and IIA theories using dualities and symmetry transformations.

Findings

Bound states are non-threshold and preserve half supersymmetry.

Explicit tension formulas for the bound states are provided.

Construction of (NS5,Dp) and (NS5,D(p+2),Dp) states using dualities.

Abstract

Starting from the (q,p) 5-brane solution of type IIB string theory, we here construct the low energy configuration corresponding to (NS5,Dp)-brane bound states (for $0\leq p\leq 4$) using the T-duality map between type IIB and type IIA string theories. We use the SL(2,Z) symmetry on the type IIB bound state (NS5,D3) to construct (NS5,D5,D3) bound state. We then apply T-duality transformation again on this state to construct the bound states of the form (NS5,D(p+2),Dp) (for $0\leq p\leq 2$) of both type IIB and type IIA string theories. We give the tension formula for these states and show that they form non-threshold bound states. All these states preserve half of the space-time supersymmetries of string theories. We also briefly discuss the ODp-limits corresponding to (NS5,Dp) bound state solutions.