String expansion as large N expansion of gauge theories

Bershadsky, M.; Kakushadze, Zura; Vafa, Cumrun

doi:10.1016/s0550-3213(98)00272-7

Cited by 193 publications

(403 citation statements)

References 17 publications

(30 reference statements)

Supporting

Mentioning

382

Contrasting

Order By: Relevance

“…One class of interesting deformations is the orbifold projection [11] of the N = 4 SYM. Orbifolding involves imposing a discrete projection operator on the parent N = 4 theory.…”

Section: Jhep02(2006)040mentioning

confidence: 99%

Amplitudes in the β-deformed conformal Yang-Mills

Khoze¹

2006

J. High Energy Phys.

View full text Add to dashboard Cite

We study perturbative amplitudes in a large class of theories obtained by marginal deformations of the N = 4 supersymmetric Yang-Mills. We find that planar amplitudes in the deformed theories are closely related to planar amplitudes in the original N = 4 SYM. For some classes of deformations the amplitudes essentially coincide with the N = 4 amplitudes to all orders in planar perturbation theory. For more general classes of marginal deformations, the equivalence holds at up to four loops, and at five loops it is likely to break down. This implies that the iterative structure of planar MHV amplitudes recently discovered by Bern, Dixon and Smirnov in [1] for the N = 4 theory also manifests itself in a wider class of theories.

show abstract

“…One class of interesting deformations is the orbifold projection [11] of the N = 4 SYM. Orbifolding involves imposing a discrete projection operator on the parent N = 4 theory.…”

Section: Jhep02(2006)040mentioning

confidence: 99%

Amplitudes in the β-deformed conformal Yang-Mills

Khoze¹

2006

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…Thus, the knowledge of the effective superpotential in one of the theories automatically fixes the effective superpotential in the other. It is interesting to note that for SU (3), where the antisymmetric representation is equivalent to antifundamental, we can relate the actions of the theory with the adjoint and fundamental matter. This is quite remarkable!…”

Section: The Equivalence Of the Symmetry Breaking Patternsmentioning

confidence: 99%

“…As an example, let us consider a particular case with a tree-level quartic superpotential. 3 The effective superpotential for the theory with the adjoint matter was calculated in Ref. [31]; for the theory with the fundamental matter it was calculated in Ref.…”

Section: The Equivalence Of the Symmetry Breaking Patternsmentioning

confidence: 99%

See 1 more Smart Citation

An exact relation for orientifold field theories with arbitrary superpotential

2004

View full text Add to dashboard Cite

We discuss a nonperturbative relation for orientifold parent/daughter pairs of supersymmetric theories with an arbitrary tree-level superpotential. We show that super-Yang-Mills (SYM) theory with matter in the adjoint representation at N → ∞, is equivalent to a SYM theory with matter in the antisymmetric representation and a related superpotential. The gauge symmetry breaking patterns match in these theories too. The moduli spaces in the limiting case of a vanishing superpotential are also discussed. Finally we argue that there is an exact mapping between the effective superpotentials of two finite-N theories belonging to an orientifold pair.

show abstract

“…In this section we will summarize some of their relevant properties. The relevant references are [33], [34], [35], [36], [37], [38].…”

Section: Orbifold Gauge Theorymentioning

confidence: 99%