Solving field equations in non-isometric coset CFT backgrounds
arXiv:1006.2386 · doi:10.1016/j.nuclphysb.2010.08.001
Abstract
The largest known class of gravitational backgrounds with an exact string theoretical description is based on coset G/H CFTs and the corresponding gauged WZW models. These backgrounds generically lack isometries and are quite complicated. Thus the corresponding field equations seem impossible to solve and their use in physical applications becomes problematic. We develop a systematic general method enabling us to overcome this problem using group theory. The method is inspired by observations made in some elementary geometric coset and coset CFTs, but its full power is apparent in non-abelian cases. We analyze exhaustively the coset SU(2)xSU(2)/SU(2) and explicitly solve the scalar wave equation of the corresponding gravitational background. We also examine the high spin limit and derive the effective geometry that consistently captures the corresponding sector in the theory.
Version to appear in Nuclear physics B, minor typos corrected
References in corpus (2)
Cited by in corpus (11)
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- Double Field Theory on Group Manifolds
- High spin limits and non-abelian T-duality
- Excitations of the Myers-Perry Black Holes
- Scalar fields on λ-deformed cosets
- Recent developments in non-Abelian T-duality in string theory
- Non-Abelian T-duality and Modular Invariance
- Separation of variables in the WZW models
- D-branes (or not) in the non-Abelian T-dual of the SU(2) WZW model
- Double Field Theory on Group Manifolds (Thesis)