Closed Strings Tachyons and Non-Commutative Instabilities

Details Closed Strings Tachyons and Non-Commutative Instabilities Closed Strings Tachyons and Non-Commutative Instabilities

2003-01-15

arxiv.org/abs/hep-th/0301099v3

JHEP 0302:020,2003

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/1126-6708/2003/02/020

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.

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