On integrable backgrounds self-dual under fermionic T-duality

Adam, Ido; Dekel, Amit; Oz, Yaron

doi:10.1088/1126-6708/2009/04/120

Cited by 62 publications

(101 citation statements)

References 21 publications

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“…The similarity with the N = 4 SYM amplitude and the fact that they obey the same anomalous conformal Ward identities suggests that the ABJM four-point amplitude can also exponentiate [33,34,69]. It has to be stressed that the Wilson loop/amplitude duality and dual conformal invariance are not supported at strong coupling by AdS/CFT arguments [70,43], as it is not clear whether fermionic T-duality could be a symmetry of the dual string sigma model [35]- [41]. Moreover, the duality with the bosonic Wilson loop doesn't extend beyond four points since n-point amplitudes are no longer MHV for n ≥ 6.…”

Section: Subleading Contributions To the Four-point Amplitudementioning

confidence: 99%

“…At two loops the planar amplitude can be written as a sum of dual conformal invariant integrals and has been found to coincide with the second order expansion of a light-like four-polygon Wilson loop [33,34]. This points to the fact that a Wilson loop/scattering amplitude duality might exist even if a strong coupling interpretation of the duality is less straightforward [35]- [41] with respect to the four dimensional case [42,43]. Moreover, the two-loop four-point ABJM amplitude surprisingly matches the amplitude of N = 4 SYM theory at one loop [33,34].…”

Section: Introductionmentioning

confidence: 99%

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ABJM amplitudes and WL at finite N

Bianchi

Leoni

et al. 2013

J. High Energ. Phys.

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We evaluate ABJM observables at two loops, for any value of the rank N of the gauge group. We compute the color subleading contributions to the four-point scattering amplitude in ABJM at two loops. Contrary to the four dimensional case, IR divergent N-subleading contributions are proportional to leading poles in the regularization parameter. We then exploit the non-planar calculation for the amplitude to derive an expression for the two-loop Sudakov form factor at any N. In the planar limit the result coincides with the one recently obtained in literature by using Feynman diagrams and unitarity. Finally, we analyze the subleading contributions to the light-like four-cusps Wilson loop and interpret the result in terms of the non-abelian exponentiation theorem. All these perturbative results satisfy the uniform transcendentality principle, hinting at its validity in ABJM beyond the planar limit.

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Section: Subleading Contributions To the Four-point Amplitudementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

ABJM amplitudes and WL at finite N

Bianchi

Leoni

et al. 2013

J. High Energ. Phys.

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“…This supercoset action can be viewed as a direct (classical-level) truncation of the AdS 5 × S 5 superstring theory with only 4 bosons and 8 fermions kept non-zero and has several remarkable features. The Z 4 -structure [23] of the superalgebra psu(1, 1|2) implies [24] that this theory is also classically integrable [25] and, in addition, self-dual under the fermionic T-duality [26,27]. In fact, its classical integrable structure is essentially equivalent to that of the N = 2 supersymmetric sine-Gordon theory [28] as the latter is its Pohlmeyer reduction [29].…”

mentioning

confidence: 97%

Superstrings in AdS₂×S²×T⁶

Sorokin¹,

Tseytlin²,

Wulff³

et al. 2011

J. Phys. A: Math. Theor.

193

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We consider the type IIB Green-Schwarz superstring theory on AdS 2 × S 2 × T 6 supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability. This background is a limit of a 1/4 supersymmetric supergravity solution describing four intersecting D3-branes and represents a consistent embedding of AdS 2 × S 2 into critical superstring theory. Its AdS 2 × S 2 part with corresponding fermions can be described by a classically integrable P SU (1, 1|2)/SO(1, 1) × U (1) supercoset sigma-model. We point out that since the RR 5-form field has non-zero components along the 6-torus directions one cannot, in general, factorize the 10d superstring theory into the supercoset part plus 6 bosons and 6 additional massless fermions. Still, we demonstrate that the full superstring model (i) is classically integrable, at least to quadratic order in fermions, and (ii) admits a consistent classical truncation to the supercoset part. Following the analogy with other integrable backgrounds and starting with the finite-gap equations of the P SU (1, 1|2)/SO(1, 1) × U (1) supercoset we propose a set of asymptotic Bethe ansatz equations for a subset of the quantum string states.

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“…On the string theory side the above mentioned T-duality transformation maps between the original and the dual symmetries. For the full supersymmetric string action the standard bosonic T-duality has to be supplemented by a fermionic T-duality in order to map the worldsheet action back to itself [18] (see also some more recent work [19,20]). …”

Section: Introductionmentioning

confidence: 99%

T‐Duality, dual conformal symmetry and integrability for strings on AdS₅ × S⁵

Beisert

2009

Fortschritte der Physik

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In recent years two intriguing observations have been made for N = 4 super Yang-Mills theory and for superstrings on AdS5 × S 5 : In the planar limit the computation of the spectrum is vastly simplified by the apparent integrability of the models. Furthermore, planar scattering amplitudes of the gauge theory display remarkable features which have been attributed to the appearance of a dual superconformal symmetry. Here we review the connection of these two developments from the point of view of the classical symmetry by means of a super-T-self-duality. In particular, we show explicitly how the charges of conformal symmetry and of the integrable structure are related to the dual ones.

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On integrable backgrounds self-dual under fermionic T-duality

Cited by 62 publications

References 21 publications

ABJM amplitudes and WL at finite N

ABJM amplitudes and WL at finite N

Superstrings in AdS₂×S²×T⁶

T‐Duality, dual conformal symmetry and integrability for strings on AdS₅ × S⁵

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On integrable backgrounds self-dual under fermionic T-duality

Cited by 62 publications

References 21 publications

ABJM amplitudes and WL at finite N

ABJM amplitudes and WL at finite N

Superstrings in AdS2×S2×T6

T‐Duality, dual conformal symmetry and integrability for strings on AdS5 × S5

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Superstrings in AdS₂×S²×T⁶

T‐Duality, dual conformal symmetry and integrability for strings on AdS₅ × S⁵