Infrared behavior of Closed Superstrings in Strong Magnetic and Gravitational Fields

Abstract

A large class of four-dimensional supersymmetric ground states of closed superstrings with a non-zero mass gap are constructed. For such ground states we turn on chromo-magnetic fields as well as curvature. The exact spectrum as function of the chromo-magnetic fields and curvature is derived. We examine the behavior of the spectrum, and find that there is a maximal value for the magnetic field $H_{\max }\sim M_{\mathrm{planck}}^2$. At this value all states that couple to the magnetic field become infinitely massive and decouple. We also find tachyonic instabilities for strong background fields of the order $\mathcal{O}(\mu M_{\mathrm{planck}})$ where $\mu$ is the mass gap of the theory. Unlike the field theory case, we find that such ground states become stable again for magnetic fields of the order $\mathcal{O}(M_{\mathrm{planck}}^2)$. The implications of these results are discussed.

Minor corrections. Version to appear in Nucl. Phys. B

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