Chiral Rings, Mirror Symmetry and the Fate of Localized Tachyons | Zendy

Sang-Jin Sin | Zendy

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Chiral Rings, Mirror Symmetry and the Fate of Localized Tachyons

Author(s) -

Sang-Jin Sin

Publication year - 2003

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/812956

Subject(s) - tachyon , tachyon condensation , physics , orbifold , string (physics) , supersymmetry , type (biology) , symmetry (geometry) , mirror symmetry , worldsheet , projection (relational algebra) , string theory , mathematical physics , particle physics , quantum mechanics , geometry , string field theory , mathematics , ecology , algorithm , biology

We study the localized tachyon condensation of non-supersymmetric orbifold backgrounds in their mirror Landau-Ginzburg picture. We first show that the R-charges of chiral primaries increase under the process of condensing the tachyon in the same chiral ring. Then, utilizing the existence of four copies of (2,2) worldsheet supersymmetry, we show that the minimal tachyon mass in twisted sectors increases in CFT and type 0 string and it plays the role of the c-function of the twisted sectors. We also study the GSO projection in detail and show that type II decays to only to type II while type 0 can mix with type 0 and II under the RG-flow.

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