Bulg. J. Phys. vol.41 no.2 (2014), pp. 077-094



Spontaneous Supersymmetry Breaking and Instanton Sum in 2D Type IIA Superstring Theory

F. Sugino
Okayama Institute for Quantum Physics, Kyoyama 1-9-1, Kita-ku, Okayama 700-0015, Japan
Abstract. We consider a double-well supersymmetric matrix model and its interpretation as a nonperturbative definition of two-dimensional type IIA superstring theory in the presence of a nontrivial Ramond-Ramond background. The interpretation is based on symmetries in both sides of the matrix model and the IIA string theory, and confirmed by direct comparison of various correlation functions . The full nonperturbative free energy of the matrix model in its double scaling limit is represented by the Tracy-Widom distribution in random matrix theory. We show that instanton contributions in the matrix model survive in the double scaling limit and trigger spontaneous supersymmetry breaking. It implies that the target-space supersymmetry is spontaneously broken due to nonperturbative effects in the IIA string theory.

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