Marginal and relevant deformations of field theories and non-commutative moduli spaces of vacua

Berenstein, David; Jejjala, Vishnu; Leigh, Robert G.

doi:10.1016/s0550-3213(00)00394-1

Cited by 126 publications

(281 citation statements)

References 54 publications

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“…This is in agreement with reference [29]. The integrable case q equals a phase will correspond to the case q = he −i2πn/3 + 1 with h = ρe i2πn/3 with ρ and q being real.…”

Section: Jhep01(2006)116supporting

confidence: 90%

The general Leigh-Strassler deformation and integrability

Bundzik

Månsson

2006

J. High Energy Phys.

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The success of the identification of the planar dilatation operator of N = 4 SYM with an integrable spin chain Hamiltonian has raised the question if this also is valid for a deformed theory. Several deformations of SYM have recently been under investigation in this context. In this work we consider the general Leigh-Strassler deformation. For the generic case the S-matrix techniques cannot be used to prove integrability. Instead we use R-matrix techniques to study integrability. Some new integrable points in the parameter space are found.

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“…This is in agreement with reference [29]. The integrable case q equals a phase will correspond to the case q = he −i2πn/3 + 1 with h = ρe i2πn/3 with ρ and q being real.…”

Section: Jhep01(2006)116supporting

confidence: 90%

The general Leigh-Strassler deformation and integrability

Bundzik

Månsson

2006

J. High Energy Phys.

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“…Some of the points below were made in lectures at Strings 2000 [13]. Other recent papers suggesting a role of K-homology in D-brane physics include [14,15,16,17].…”

Section: Introductionmentioning

confidence: 99%

Noncommutative tachyons and K-theory

Harvey

Moore

2001

Journal of Mathematical Physics

135

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We show that the relation between D-branes and noncommutative tachyons leads very naturally to the relation between D-branes and K-theory. We also discuss some relations between D-branes and K-homology, provide a noncommutative generalization of the ABS construction, and give a simple physical interpretation of Bott periodicity. In addition, a framework for constructing Neveu-Schwarz fivebranes as noncommutative solitons is proposed.

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“…It has been argued in [10,11] that for rational β, the gauge theory is dual to an orbifold with a discrete torsion. 9 Furthermore, Lunin and Maldacena have demonstrated [2] that their supergravity solution with rational values of the β parameter is also related to the orbifold description via an action of the SL(2, Z) T-duality.…”

Section: Metric and Form-fieldsmentioning

confidence: 99%

String theory dual of the β-deformed gauge theory

Chu

Khoze

2006

J. High Energy Phys.

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We consider the AdS/CFT correspondence between the β-deformed supersymmetric gauge theory and the type IIB string theory on the Lunin-Maldacena background. Guided by gauge theory results, we modify and extend the supergravity solution of Lunin and Maldacena in two ways. First we make it to be doubly periodic in the deformation parameter, β → β + 1 and β → β + τ 0 , to match the β-periodicity property of the dual gauge theory. Secondly, we reconcile the SL(2, Z) symmetry of the gauge theory, which acts on the constant parameters τ 0 and β, with the SL(2, Z) invariance of the string theory, which involves the dilaton-axion field τ (x). Our proposed modified configuration transforms correctly under the SL(2, Z) of string theory when its parameters are transformed under the SL(2, Z) of the gauge theory. We interpret the resulting configuration as the string theory (rather than supergravity) background which is dual to the β-deformed conformal Yang-Mills. Finally, we check that our string theory background leads to the IIB effective action which is correctly reproduced by instanton calculations on the gauge theory side, carried out at weak coupling, in the large-N limit, but to all orders in the deformation parameter β.

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Marginal and relevant deformations of field theories and non-commutative moduli spaces of vacua

Cited by 126 publications

References 54 publications

The general Leigh-Strassler deformation and integrability

The general Leigh-Strassler deformation and integrability

Noncommutative tachyons and K-theory

String theory dual of the β-deformed gauge theory

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