Proof of all-order finiteness for planar beta-deformed Yang-Mills

Abstract

We study a marginal deformation of N=4 Yang-Mills, with a real deformation parameter beta. This beta-deformed model has only N=1 supersymmetry and a U(1)xU(1) flavor symmetry. The introduction of a new superspace star-product allows us to formulate the theory in N=4 light-cone superspace, despite the fact that it has only N=1 supersymmetry. We show that this deformed theory is conformally invariant, in the planar approximation, by proving that its Green functions are ultra-violet finite to all orders in perturbation theory.

27 pages, several figures; v3: minor corrections

References in corpus (4)

• On the perturbative chiral ring for marginally deformed N=4 SYM theories
• On the all-order perturbative finiteness of the deformed N=4 SYM theory
• Instanton test of non-supersymmetric deformations of the AdS_5 x S^5
• Instanton Calculations in the beta-deformed AdS/CFT Correspondence

Cited by in corpus (33)

• Non-conformality of gamma_i-deformed N=4 SYM theory
• Giant magnons in TsT-transformed AdS_5 x S^5
• Marginal Deformations and 3-Algebra Structures
• The complete one-loop dilatation operator of planar real beta-deformed N=4 SYM theory
• N=8 Supergravity on the Light Cone
• Proof of ultra-violet finiteness for a planar non-supersymmetric Yang-Mills theory
• The Leigh-Strassler Deformation and the Quest for Integrability
• Examples of Emergent Type IIB Backgrounds from Matrices
• Quantum Symmetries and Marginal Deformations
• Real versus complex beta-deformation of the N=4 planar super Yang-Mills theory
• Finite-Size Dyonic Giant Magnons in TsT-transformed $Ad{S}_5\times S^5$
• Gluon Scattering in Deformed N=4 SYM
• A manifestly MHV Lagrangian for N=4 Yang-Mills
• Three-point correlators: finite-size giant magnons and singlet scalar operators on higher string levels
• $\beta$-deformation for matrix model of M-theory
• Maximal super Yang-Mills theories on curved background with off-shell supercharges
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• E${}_8$ in $\mathcal{N}=8$ supergravity in four dimensions
• Gauge-invariant correlation functions in light-cone superspace
• Chiral primaries in the Leigh-Strassler deformed N=4 SYM -- a perturbative study
• One-Loop Partition Functions in Deformed $\mathcal{N}=4$ SYM Theory
• Contour deformation trick in hybrid NLIE
• Effective action of beta-deformed N = 4 SYM theory: Farewell to two-loop BPS diagrams
• SYM N=4 in light-cone gauge and the "bridge" identities
• Studies of low-energy effective actions in supersymmetric field theories
• Maximal supergravity and the quest for finiteness
• Matrix Model and beta-deformed N=4 SYM
• Soft factors and interaction vertices from light-cone actions
• Two loop Kahler potential in beta-deformed N=4 SYM theory
• Bilocal phase operators in beta-deformed super Yang-Mills
• Holographic backgrounds from D-brane probes
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations