Non-planar string networks on tori

DOI10.1088/1126-6708/2000/03/010zbMATH Open0959.81042arXivhep-th/0002150OpenAlexW2155903897MaRDI QIDQ5927808

Alok Kumar

Publication date: 21 March 2001

Published in: Journal of High Energy Physics (Search for Journal in Brave)

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 $SL(3,Z)imesSL(3,Z)$ 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.

Full work available at URL: https://arxiv.org/abs/hep-th/0002150

zbMATH Keywords

string-networks

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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