2009/02/28 by R. Roiban, Radu Roiban, A.A. Tseytlin +1 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/04/078
published as JHEP 0904:078,2009 · 40 pages, Latex; v2: typos corrected, minor clarifying remarks added
arxiv created 2009/03/19 · openalex publication_date 2009/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider the Pohlmeyer-type reduced theory found by explicitly solving the Virasoro constraints in the formulation of AdS5xS5 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 AdS5xS5 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.