Singular BPS Saturated States and Enhanced Symmetries of Four-Dimensional N=4 Supersymmetric String Vacua

Mirjam Cvetič; Donam Youm

doi:10.1016/0370-2693(95)01092-5

paper

Singular BPS Saturated States and Enhanced Symmetries of Four-Dimensional N=4 Supersymmetric String Vacua

arXiv:hep-th/9507160 · doi:10.1016/0370-2693(95)01092-5

Abstract

A class of supersymmetric (BPS saturated), static, spherically symmetric solutions of four-dimensional effective N=4 supersymmetric superstring vacua, which become massless at special points of moduli space, is studied in terms of the fields of the effective heterotic string theory compactified on a six-torus. Those are singular four-dimensional solutions corresponding to $O (6, 22, Z)$ orbits of dyonic configurations (with zero axion), whose left-moving as well as right-moving electric and magnetic charges are orthogonal (light-like in the $O (6, 22, Z)$ sense), while the $O (6, 22, Z)$ norms of both the electric and magnetic charges are negative. Purely electric [or purely magnetic] and dyonic configurations preserve $\frac{1}{2}$ and $\frac{1}{4}$ of N=4 supersymmetry, respectively, thus belonging to the vector and the highest spin $\frac{3}{2}$ supermultiplets, respectively. Purely electric [or purely magnetic] solutions (along with an infinite tower of $S L (2, Z)$ transformed states) become massless at a point of the corresponding ``one-torus'', thus may contribute to the enhancement of non-Abelian gauge symmetry, while dyonic solutions become simultaneously massless at a point of the corresponding two-torus, and thus may in addition contribute to the enhancement of the local supersymmetry there.

9 pages, uses RevTex, Improved version with minor changes to be published in Phys. Lett. B

Singular BPS Saturated States and Enhanced Symmetries of Four-Dimensional N=4 Supersymmetric String Vacua

Abstract

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