tt* Geometry and Closed String Tachyon Potential | Zendy

Atish Dabholkar | Zendy; Cumrun Vafa | Zendy

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tt* Geometry and Closed String Tachyon Potential

Author(s) -

Atish Dabholkar,

Cumrun Vafa

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/02/008

Subject(s) - tachyon , worldsheet , string (physics) , physics , action (physics) , mathematical physics , string theory , tachyon condensation , effective action , bosonic string theory , string field theory , theoretical physics , geometry , quantum mechanics , mathematics , relationship between string theory and quantum field theory , quantum gravity , quantum

We propose a closed string tachyon action including kinetic and potentialterms for non-supersymmetric orbifolds. The action is given in terms ofsolutions to $tt^*$ equations which captures the geometry of vacua of thecorresponding N=2 worldsheet theory. In certain cases the solutions are wellstudied. In case of tachyons of ${\bf C}/Z_n$, solutions to affine todaequations determine the action. We study the particular case of ${\bf C}/Z_3\to{\bf C}$ in detail and find that the Tachyon action is determined in terms of asolution to Painleve III equation.Comment: 10 page

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