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Tachyon Condensation and Graviton Production in Matrix Theory

H. Awata·S. Hirano·Y. Hyakutake
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Abstract

We study a membrane -- anti-membrane system in Matrix theory. It in fact exhibits the tachyon instability. By suitably representing this configuration, we obtain a (2+1)-dimensional U(2) gauge theory with a 't Hooft's twisted boundary condition. We identify the tachyon field with a certain off-diagonal element of the gauge fields in this model. Taking into account the boundary conditions carefully, we can find vortex solutions which saturate the Bogomol'nyi-type bound and manifest the tachyon condensation. We show that they can be interpreted as gravitons in Matrix theory.

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H. Awata, S. Hirano, Y. Hyakutake. 1999-05-27. Tachyon Condensation and Graviton Production in Matrix Theory. https://arxiv.org/abs/hep-th/9902158

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