BPS States in N=3 Superstrings

Abstract

The N = 3 string models are special solutions of the type II perturbative string theories. We present explicit expressions for the helicity supertraces,which count the number of the perturbative BPS multiplets. Assuming the non-perturbative duality $(S\leftrightarrow T)$ of the heterotic string on T^6 and type II on K_3 x T^2 valid in N = 4 theories, we derive the N = 3 non-perturbative BPS mass formula by "switching off" some of the N = 4 charges and "fixing" to special values some of the N = 4 moduli. This operation corresponds to a well-defined Z_2 projection acting freely on the compactification manifold. The consistency of this projection and the precise connection of the N = 4 and N = 3 BPS spectrum is shown explicitly in several type II string constructions. The heterotic N = 3 and some asymmetric type II constructions turn out to be non-perturbative with the S moduli fixed at the self-dual point S=i. Some of the non-perturbative N = 3 type II are defined in the context of F-theory. The bosonic sector of the N=3 string effective action is also presented. This part can be useful for the study of 4d black holes in connection with the asymptotic density of BPS states in N = 3 string theory.

29 pages, LaTeX, uses fleqn.sty and cite.sty

References in corpus (2)

• Perturbative and Non-Perturbative Partial Supersymmetry Breaking; N=4 -> N=2 -> N=1
• R^2 Corrections and Non-perturbative Dualities of N=4 String ground states

Cited by in corpus (14)

• N=3 Warped Compactifications
• String Threshold corrections in models with spontaneously broken supersymmetry
• d=4 Attractors, Effective Horizon Radius and Fake Supergravity
• Classification of the N=2, Z2 X Z2-symmetric type II orbifolds and their type II asymmetric duals
• Non-perturbative triality in heterotic and type II N=2 strings
• Small Orbits
• Creation of Matter in the Universe and Groups of Type E7
• Split Attractor Flow in N=2 Minimally Coupled Supergravity
• Warped Strings: Self-dual Flux and Contemporary Compactifications
• Non-Perturbative Gravitational Corrections in a Class of N=2 String Duals
• Bound-states of D-branes in L-R asymmetric superstring vacua
• On Invariant Structures of Black Hole Charges
• Spacetime Reduction of Large N Flavor Models: A Fundamental Theory of Emergent Local Geometry?
• Non-perturbative corrections in N=2 strings