Supersymmetric Yang-Mills theories

We compute four-point correlation functions of scalar composite operators in the N =4 supercurrent multiplet at order g 4 using the N =1 superfield formalism. We confirm the interpretation of short-distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators exchanged in the intermediate channels and we determine the two-loop contribution to the anomalous dimension of the N =4 Konishi supermultiplet.

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“…The field content of N =4 SYM [24] comprises a vector, A µ , four Weyl spinors, ψ A (A=1,2,3,4), and six real scalars, ϕ i (i=1,2,. .…”

Section: Introduction and Summary Of The Resultsmentioning

confidence: 99%

Anomalous dimensions in SYM theory at order

et al. 2000

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“…If d = 4 then α I = ∆ I = 1 for all I and the Lagrangian is invariant. For d = 4 we need further modifications to L. We start by adding the term 13) which is nontrivial only if Λ T = −Λ. Under a supersymmetry transformation (2.13) changes by…”

Section: Jhep03(2015)155mentioning

confidence: 99%

Gauge theories with 16 supersymmetries on spheres

Minahan

Zabzine

2015

J. High Energ. Phys.

148

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We give a unified approach to localization of maximally symmetric gauge theories on spheres, including S 6 and S 7 . The approach follows Pestun's method of dimensionally reducing from 10 dimensional super Yang-Mills. The resulting theories have a reduced R-symmetry which includes an SU(1, 1) subgroup, except in four dimensions where, because of conformal invariance, the full flat-space R-symmetry is maintained, and in seven dimensions where SU(1, 1) is the flat-space R-symmetry. For the case of S 6 and S 7 we discuss the localization of these theories and also present new results for the corresponding matrix models. The matrix models for S 6 and S 7 are qualitatively similar to the matrix models of a vector multiplet on S 4 and S 5 respectively. We also discuss the contributions of instantons in the six and seven dimensional cases.

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“…We start with a summary of standard N = 4 super Yang-Mills [19,20]. The theory contains a gauge field A µ , four Weyl fermions ψ a , and six real scalars φ i , which transform under SU(4) in the 1, 4, and 6 representations respectively, and under the SU(N) gauge group in the adjoint representation.…”

Section: N = 4 Super Yang-mills With An Interfacementioning

confidence: 99%

Interface Yang–Mills, supersymmetry, and Janus

2006

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We consider theories consisting of a planar interface with N = 4 super-YangMills on either side and varying gauge coupling across the interface. The interface does not carry any independent degrees of freedom, but is allowed to support local gauge invariant operators, included with independent interface couplings. In general, both conformal symmetry and supersymmetry will be broken, but for special arrangements of the interface couplings, these symmetries may be restored. We provide a systematic classification of all allowed interface supersymmetries. We find new theories preserving eight and four Poincaré supersymmetries, which get extended to sixteen and eight supersymmetries in the conformal limit, respectively with SU (2) × SU (2), SO(2) × SU (2) internal symmetry. The Lagrangians for these theories are explicitly constructed. We also recover the theory with two Poincaré supersymmetries and SU (3) internal symmetry proposed earlier as a candidate CFT dual to super Janus. Since our new interface theories have only operators from the supergravity multiplet turned on, dual supergravity solutions are expected to exist. We speculate on the possible relation between the interface theory with maximal supersymmetry and the near-horizon limit of the D3-D5 system.

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Supersymmetric Yang-Mills theories

Cited by 814 publications

References 11 publications

Anomalous dimensions in SYM theory at order

Anomalous dimensions in SYM theory at order

Gauge theories with 16 supersymmetries on spheres

Interface Yang–Mills, supersymmetry, and Janus

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