Localized Tachyons and RG Flows
By J. Harvey, D. Kutasov, E. Martinec, G. Moore. 2001
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We study condensation of closed string tachyons living on defects, such as orbifold fixed planes and Neveu-Schwarz fivebranes. We argue that the high energy density of localized states decreases in the process of condensation of such tachyons. In some cases this means that $c_{eff}$ decreases along the flow; in others, $c_{eff}$ remains constant and the decreasing quantity is a closed string analog, $g_{cl}$, of the ``boundary entropy'' of D-branes. We discuss the non-supersymmetric orbifolds $C/Z_n$ and $C^2/Z_n$. In the first case tachyon condensation decreases $n$ and in some cases connects type II and type 0 vacua. In the second case non-singular orbifolds are related by tachyon condensation to both singular and non-singular ones. We verify that $g_{cl}$ decreases in flows between non-singular orbifolds. The main tools in the analysis are the structure of the chiral ring of the perturbed theory, the geometry of the resolved orbifold singularities, and the throat description of singular conformal field theories.
Subfields: Astronomy and Astrophysics, Computational Mechanics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/79d825962dafce3664c7eaca6aaa8bd476fe2a47
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Citations in the corpus
- Tachyon effective actins in open string theory (2003, background): “1) might be useful is localized closed string tachyon condensation [39-43], where the backreaction is milder, and in particular the central charge does not change.”
- Fractional quantum Hall effect via holography: Chern-Simons, edge states and hierarchy (2009, background): “The integers {ai} are given by the Hirzeburch-Jung continued fraction [50, 49]: n p̃ = a1 − 1 a2 − 1 a3−.”