Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-02-15
JHEP 0904:078,2009
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, Latex; v2: typos corrected, minor clarifying remarks added
Scientific paper
10.1088/1126-6708/2009/04/078
We consider the Pohlmeyer-type reduced theory found by explicitly solving the Virasoro constraints in the formulation of AdS_5xS^5 superstring in terms of supercoset currents. The resulting set of classically equivalent, integrable Lagrangian equations of motion has the advantage of involving only a physical number of degrees of freedom and yet being 2d Lorentz invariant. The corresponding reduced theory action may be written as a gauged WZW model coupled to fermions with further bosonic and fermionic potential terms. Since the AdS_5xS^5 superstring sigma model is conformally invariant, its classical relation to the reduced theory may extend to the quantum level only if the latter is, in fact, UV finite. This theory is power counting renormalizable with the only possible divergences being of potential type. We explicitly verify its 1-loop finiteness and show that the 2-loop divergences are, in general, scheme dependent and vanish in dimensional reduction scheme. We expect that the reduced theory is finite to all orders in the loop expansion.
Roiban Radu
Tseytlin Arkady A.
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