Exact results in non-supersymmetric large N orientifold field theories

Armoni, Adi; Shifman, M.; Veneziano, G.

doi:10.1016/s0550-3213(03)00538-8

Cited by 232 publications

(363 citation statements)

References 19 publications

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“…Correspondingly, the result of their calculation is the same in the parent and daughter theories at N → ∞, much in the same way as in Ref. [6]. Actually, similar arguments with no reference to the orientifold pair were discussed previously in [14].…”

Section: Equivalence Of the Effective Superpotentialssupporting

confidence: 76%

“…In this case both perturbative and nonperturbative proofs of equivalence exist; they were given in Ref. [6]. In this section we summarize main points of the proof.…”

Section: Planar Equivalence and Orientifold Field Theoriesmentioning

confidence: 97%

“…In [6] it was shown that for planar graphs it is possible to flip the orientation of one of the arrows carrying color flow in the matter loops, without changing the value of any planar Feynman. This is a perturbative proof of the planar equivalence between the two theories.…”

Section: Planar Equivalence and Orientifold Field Theoriesmentioning

confidence: 99%

“…It was discovered that theories related by orbifold or orientifold projections are perturbatively planar equivalent [1,2,3,4]. Extension of the perturbative equivalence to the nonperturbative level was elaborated in [5,6]. While orbifold theories generally speaking do not enjoy nonperturbative planar equivalence [7,8], orientifold theories do [6].…”

Section: Introductionmentioning

confidence: 99%

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An exact relation for orientifold field theories with arbitrary superpotential

2004

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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.

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Section: Equivalence Of the Effective Superpotentialssupporting

confidence: 76%

“…In this case both perturbative and nonperturbative proofs of equivalence exist; they were given in Ref. [6]. In this section we summarize main points of the proof.…”

Section: Planar Equivalence and Orientifold Field Theoriesmentioning

confidence: 97%

Section: Planar Equivalence and Orientifold Field Theoriesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An exact relation for orientifold field theories with arbitrary superpotential

2004

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“…Another method is to deform the N = 4 SYM by orientifolding [22]. The resulting orientifold daughter theory is a non-supersymmetric Yang-Mills with the SU(N ) gauge field plus 6 adjoint scalars and 4 Dirac fermions transforming in the (anti)symmetric representation.…”

Section: Jhep02(2006)040mentioning

confidence: 99%

Amplitudes in the β-deformed conformal Yang-Mills

Khoze¹

2006

J. High Energy Phys.

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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.

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Exact results in a non‐supersymmetric gauge theory

Armoni

Shifman

Veneziano

2004

Fortschritte der Physik

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We consider non‐supersymmetric large N orientifold field theories. Specifically, we discuss a gauge theory with a Dirac fermion in the anti‐symmetric tensor representation. We argue that, at large N and in a large part of its bosonic sector, this theory is non‐perturbatively equivalent to 𝒩 = 1 SYM, so that exact results established in the latter (parent) theory also hold in the daughter orientifold theory. In particular, the non‐supersymmetric theory has an exactly calculable bifermion condensate, exactly degenerate parity doublets, and a vanishing cosmological constant (all this to leading order in 1 / N).

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Exact results in non-supersymmetric large N orientifold field theories

Cited by 232 publications

References 19 publications

An exact relation for orientifold field theories with arbitrary superpotential

An exact relation for orientifold field theories with arbitrary superpotential

Amplitudes in the β-deformed conformal Yang-Mills

Exact results in a non‐supersymmetric gauge theory

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