Exact O([ital d],[ital d]) transformations in WZW models

Journal Article · Tue Nov 15 04:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6481· OSTI ID:6905971

Gershon, D ^[1]

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1. School of Physics and Astronomy, Beverly and Raymond Sackler Faculty of Exact Sciences, Tel-Aviv University, Tel-Aviv 69978 (Israel)

Using the algebraic Hamiltonian approach, we derive the exact to all orders (Abelian) O([ital d],[ital d]) transformations of the metric and the dilaton field in WZW and WZW coset models for both compact and noncompact groups. This is obtained in spite of the fact that the algebraic Hamiltonian method does not enables us to derive the exact to all orders antisymmetric tensor (thus, we cannot use it to derive the exact transformations of the the antisymmetric tensor). It is shown that under the exact O([ital d])[times]O([ital d]) transformation only the leading order of the inverse metric [ital G][sup [minus]1] is transformed. The quanity [radical][ital G] exp([Phi]) is the same in all the dual models and in particular is independent of [ital k]. We also show that the exact metric and dilaton field that correspond to [ital G]/[ital U](1)[sup [ital d]] WZW models can be obtained by applying the exact O([ital d],[ital d]) transformations on the (ungauged) WZW model, a result that was known to one loop order only. As an example we give the O(2,2) transformations in the SL(2,[ital R]) WZW model that transform to its dual exact models. These include also the exact three-dimensional (3D) black string and the exact 2D black hole with an extra U(1) free field.

• OSTI ID: 6905971
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:10; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COMPOSITE MODELS
DUALITY
EXTENDED PARTICLE MODEL
HAMILTONIANS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
QUANTUM OPERATORS
QUARK MODEL
STRING MODELS
SYMMETRY
SYMMETRY GROUPS
TENSORS
THREE-DIMENSIONAL CALCULATIONS
TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS
U GROUPS
U-1 GROUPS