Yasuaki Hikida and Norihiro Iizuka JHEP09(2007)021 doi:10.1088/1126-6708/2007/09/021
Closed string tachyons on AdS orbifolds and dual Yang-Mills instantons
OPEN ACCESSYasuaki Hikida1 and Norihiro Iizuka2
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k to AdS3/k case, and we proposed that the AdS3/k decays into AdS3/k' with k' < k. From the bulk viewpoint, we obtain a time-dependent gravity solution describing the decay of AdS orbifold numerically. From the dual gauge theory viewpoint, we calculated the Casimir energies of gauge theory vacua and it is found that their values are exactly the same as the masses of dual geometries, even though they are in different parameter regimes of 't Hooft coupling. We also consider AdS5 orbifold. The decay of AdS5/k is dual to the transition between the dual gauge theory vacua on Rt × S3/k, parametrized by different holonomies along the orbifolded spatial cycle. We constructed the instanton solutions describing the transitions by making use of instanton solutions on Rt × S2.
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E-print Number: 0706.2742
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- PACS
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11.25.Hf Conformal field theory, algebraic structures
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- Dates
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Issue 09 (September 2007)
Received 20 July 2007, accepted for publication 28 August 2007
Published 3 September 2007
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Closed string tachyons on AdS orbifolds and dual Yang-Mills instantons
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