Article

# Operator mixing in N=4 SYM: The Konishi anomaly revisited

Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany; Laboratoire d'Annecy-le-Vieux de Physique Théorique LAPTH, B.P. 110, F-74941 Annecy-le-Vieux, France11UMR 5108 associée à l'Université de Savoie.; Dipartimento di Fisica, Università di Roma “Tor Vergata”, INFN, Sezione di Roma “Tor Vergata”, Via della Ricerca Scientifica, I-00133 Roma, Italy

Nuclear Physics B (Impact Factor: 4.33). 01/2005; DOI: 10.1016/j.nuclphysb.2005.06.005 Source: arXiv

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**ABSTRACT:**We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony, Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz (TBA) equations for the planar ABJM theory, starting from “mirror” asymptotic Bethe equations which we conjecture. We also propose generalization of the TBA equations for excited states. The recently proposed Y-system is completely consistent with the TBA equations for a large subsector of the theory, but should be modified in general. We find the general asymptotic infinite length solution of the Y-system, and also several solutions to all wrapping orders in the strong coupling scaling limit. To make a comparison with results obtained from string theory, we assume that the all-loop Bethe ansatz of N.G. and P. Vieira is the valid worldsheet theory description in the asymptotic regime. In this case we find complete agreement, to all orders in wrappings, between the solution of our Y-system and generic quasi-classical string spectrum in AdS3 × S1.Journal of High Energy Physics 06/2010; 2010(6):1-37. · 5.62 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**For Script N=1 SU(N) SYM theories obtained as marginal deformations of the Script N=4 parent theory we study perturbatively some sectors of the chiral ring in the weak coupling regime and for finite N. By exploiting the relation between the definition of chiral ring and the effective superpotential we develop a procedure which allows us to easily determine protected chiral operators up to n loops once the superpotential has been computed up to (n-1) order. In particular, for the Lunin-Maldacena beta-deformed theory we determine the quantum structure of a large class of operators up to three loops. We extend our procedure to more general Leigh-Strassler deformations whose chiral ring is not fully understood yet and determine the weight-two and weight-three sectors up to two loops. We use our results to infer general properties of the chiral ring.Journal of High Energy Physics 08/2006; 8. · 5.62 Impact Factor -
##### Article: Space-time dependent couplings in Script N = 1 SUSY gauge theories: anomalies and central functions

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**ABSTRACT:**We consider Script N = 1 supersymmetric gauge theories in which the couplings are allowed to be space-time dependent functions. Both the gauge and the superpotential couplings become chiral superfields. As has recently been shown, a new topological anomaly appears in models with space-time dependent gauge coupling. Here we show how this anomaly may be used to derive the NSVZ beta-function in a particular, well-determined renormalisation scheme, both without and with chiral matter. Moreover we extend the topological anomaly analysis to theories coupled to a classical curved superspace background, and use it to derive an all-order expression for the central charge c, the coefficient of the Weyl tensor squared contribution to the conformal anomaly. We also comment on the implications of our results for the central charge a expected to be of relevance for a four-dimensional C-theorem.Journal of High Energy Physics 06/2005; 6(06):004-004. · 5.62 Impact Factor

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