Non-Planar String Networks on Tori

Abstract

Type II strings in D=5 contain particle-like 1/8 supersymmetric BPS states. In this note we give a string-network representation of such states by considering (periodic) non-planar $(p,q,r)$-string networks of eight dimensional type II string theory on $T^3$. We obtain the BPS mass formula of such states, in terms of charges and generating-vectors of the torus, and show its invariance under an $SL(3,Z)\times SL(3,Z)$ group of transformations. Results are then generalized to string-networks associated with the $SL(5,Z)$ $U$-duality in seven dimensions. We also discuss reinterpretation of the above $(D=5)$ mass formula in terms of BPS states in world-volume theories of $U2$-branes in D=8.

11 pages, latex, one figure, very minor English corrections

References in corpus (2)

• Tiling with almost-BPS states
• Charged Macroscopic type II Strings and their Networks

Cited by in corpus (2)

• Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems
• Bound States of String Networks and D-branes