tt* Geometry and Closed String Tachyon Potential

Abstract

We propose a closed string tachyon action including kinetic and potential terms for non-supersymmetric orbifolds. The action is given in terms of solutions to $t{t}^{\ast }$ equations which captures the geometry of vacua of the corresponding N=2 worldsheet theory. In certain cases the solutions are well studied. In case of tachyons of $\mathbf{C}/Z_n$, solutions to affine toda equations determine the action. We study the particular case of $\mathbf{C}/Z_3\to \mathbf{C}$ in detail and find that the Tachyon action is determined in terms of a solution to Painleve III equation.

10 pages

References in corpus (4)

• Don't Panic! Closed String Tachyons in ALE Spacetimes
• Fluxbranes in String Theory
• Melvin Background in Heterotic Theories
• Closed String Tachyons in Non-supersymmetric Heterotic Theories

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