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) × 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.

Strings, Junctions and Stability

“…BPS string junctions preserve a quarter of the original supersymmetry (SUSY). String junction solutions have been obtained and used in a variety of situations in F-theory [2,3], M-theory [1,4] and string theories in ten and lower dimensions [5][6][7][8][9][10][11]. In this article we concern ourselves with such states and phenomena related to them in supersymmetric field theories, realised by D-branes in string theories [12][13][14][15].…”