Closed Strings Tachyons and Non-Commutative Instabilities

Abstract

We observe a relation between closed strings tachyons and one-loop instabilities in non-supersymmetric non-commutative gauge theories. In particular we analyze the spectra of type IIB string theory on C^3/Z_N orbifold singularities and the non-commutative field theory that lives on D3 branes located at the singularity. We find a surprising correspondence between the existence or not of one-loop low-momentum instabilities in the non-commutative field theory and the existence or not of tachyons in the closed string twisted sectors. Moreover, the relevant piece of the non-commutative field theory effective action is suggestive of an exchange of closed string modes. This suggests that non-commutative field theories retain some information about the dynamics of the underlying string configuration. Finally, we also comment on a possible relation between closed string tachyon condensation and field theory tachyon condensation.

27 pages, Latex. v2: Comment about anomalies and refs. added. Version published in JHEP. v3: minor changes

References in corpus (2)

• The quantum structure of spacetime at the Planck scale and quantum fields
• Open Wilson Lines as States of Closed String

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