(F, D5) Bound State, SL(2, Z) Invariance and The Descendant States in Type IIB/A String Theory

Abstract

Recently the space-time configurations of a set of non-threshold bound states, called the (F, Dp) bound states, have been constructed explicitly for every $p$ with $2\le p\le 7$ in both type IIA (for $p$ even) and type IIB (for $p$ odd) string theories by the present authors. By making use of the SL(2, Z) symmetry of type IIB theory we construct a more general SL(2, Z) invariant bound state of the type ((F, D1), (NS5, D5)) in this theory from the (F, D5) bound state. There are actually an infinite number of $(m,n)$ strings forming bound states with $(m^{\prime },n^{\prime })$ 5-branes, where strings lie along one of the spatial directions of the 5-branes. By applying T-duality along one of the transverse directions we also construct the bound state ((F, D2), (KK, D6)) in type IIA string theory. Then we give a list of possible bound states which can be obtained from these newly constructed bound states by applying T-dualities along the longitudinal directions as well as S-dualities to those in type IIB theory.

21 pages LaTeX, no figures, More general charge relation Eq.(2.23) is given, the text has been revised accordingly, version to appear in Phys. Rev. D

References in corpus (2)

• Non-threshold (F, Dp) bound states
• (m,n)-String-Like Dp-Brane Bound States

Cited by in corpus (12)

• (p + 1)-Dimensional Noncommutative Yang-Mills and D($p-2$) Branes
• Non-Commutative Open (p,q)-String Theories
• Some aspects of interaction amplitudes of D branes carrying worldvolume fluxes
• Interaction between two non-threshold bound states
• Supergravity and "New" Six-Dimensional Gauge Theories
• On D-brane interaction & its related properties
• The open string pair-production rate enhancement by a magnetic flux
• Nonperturbative SL(2,Z) (p,q)-strings manifestly realized on the quantum M2
• On decoupled theories in (5+1) dimensions from (F,D1,NS5,D5) supergravity configuration
• BPS States and Automorphisms
• On the equivalence of bound state solutions
• On 1/4 BPS ((F, D1), (NS5, D5)) bound states of type IIB string theory