Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons | Zendy

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Gravity/Non-Commutative Yang-Mills Correspondence and Doubletons

Author(s) -

Dan Tomino

Publication year - 2002

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.107.805

Subject(s) - physics , commutative property , gauge theory , gauge symmetry , mathematical physics , decoupling (probability) , theoretical physics , yang–mills theory , pure mathematics , mathematics , control engineering , engineering

We discuss the gravity dual description for a non-commutative Yang-Millstheory, which reduces to that on AdS_{5} x S_{5} in the commutative limit. Itis found that doubletons do not decouple in this dual gravity descriptionunless one takes the commutative limit. The decoupling of the doubletons inAdS_{5} space implies that the dual gauge theory has SU(N) gauge symmetry. Ourresult implies that this gravity description is dual to non-commutative U(N)gauge theory. It is compatible with the claim that U(1) and SU(N) gaugesymmetries can not separate in non-commutative U(N) gauge theory.Comment: 24 pages, no figures, references adde

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