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28 March 2024
 
  » arxiv » hep-th/0605230

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The Fixed Points of RG Flow with a Tachyon
J. Gegenberg ; V. Suneeta ;
Date 23 May 2006
AbstractWe examine the fixed points to first-order RG flow of a non-linear sigma model with background metric, dilaton and tachyon fields. We show that on compact target spaces, the existence of fixed points with non-zero tachyon is linked to the sign of the second derivative of the tachyon potential $V’’(T)$ (this is the analogue of a result of Bourguignon for the zero-tachyon case). For a tachyon potential with only the leading term, such fixed points are possible. On non-compact target spaces, we introduce a small non-zero tachyon and compute the correction to the Euclidean 2d black hole (cigar) solution at second order in perturbation theory. The corrections to the metric, tachyon and dilaton are well-behaved at this order. We also briefly discuss solutions to the RG flow equations in the presence of a tachyon that suggest a comparison to dynamical fixed point solutions obtained by Yang and Zwiebach.
Source arXiv, hep-th/0605230
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