On twist-two operators in SYM

Henn, Johannes M.; Jarczak, C.; Sokatchev, E.

doi:10.1016/j.nuclphysb.2005.09.043

Cited by 10 publications

(22 citation statements)

References 63 publications

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“…Its two and three point functions can then be obtained from [65], Notice that the result for the two point function of O J satisfies the constraint that the two point function of the stress energy momentum of the fermion is twice the value of the scalar and gauge part [41]. Thus, we finally conclude that C 2 (J) ≡ C 11J C 33J is given by…”

Section: E2 Three-point Functionmentioning

confidence: 77%

“…This requires some explanation; the first four types of oscillators act on the first site and the others act on the second site; the number n a of oscillators of type a † on the first site is arbitrary in principle 24 but as we want spin J, the number of a † on the second site has to be J − n a ; the same applies to oscillators of type b † ; on the second site, there is no loss of generality when considering the number of oscillators of type c † to be p − n c , but the number of d † on the same site follows because of the central charge condition, which now reads This was expected as it is possible to construct twist two primary operators at zero order restricting only to scalar, gauge or fermionic fields [65], and so, at first order, the eigenvectors must be a linear combination of these zero order eigenstates. 27 The data collected also allowed to infer the matrix form of the Hamiltonian for general J in the (non-normalized) basis {|1 , |2 , |3 } ≡ φD J φ , ψD J−1ψ , FD J−2Ḟ .…”

Section: E12 Twist Two Operatorsmentioning

confidence: 99%

“…In [65] two and three point between two scalars and the operator with highest eigenvalue (210) were computed. Their results can be easily adapted to the case of the leading twist operators, that corresponds to the state (212) with lowest eigenvalue.…”

Section: E2 Three-point Functionmentioning

confidence: 99%

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Conformal Regge theory

Costa

Gonçalves

Penedones

2012

J. High Energ. Phys.

311

692

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We generalize Regge theory to correlation functions in conformal field theories. This is done by exploring the analogy between Mellin amplitudes in AdS/CFT and S-matrix elements. In the process, we develop the conformal partial wave expansion in Mellin space, elucidating the analytic structure of the partial amplitudes. We apply the new formalism to the case of four point correlation functions between protected scalar operators in N=4 Super Yang Mills, in cases where the Regge limit is controlled by the leading twist operators associated to the pomeron-graviton Regge trajectory. At weak coupling, we are able to predict to arbitrary high order in the 't Hooft coupling the behaviour near J=1 of the OPE coefficients C_{OOJ} between the external scalars and the spin J leading twist operators. At strong coupling, we use recent results for the anomalous dimension of the leading twist operators to improve current knowledge of the AdS graviton Regge trajectory - in particular, determining the next and next to next leading order corrections to the intercept. Finally, by taking the flat space limit and considering the Virasoro-Shapiro S-matrix element, we compute the strong coupling limit of the OPE coefficient C_{LLJ} between two Lagrangians and the leading twist operators of spin J.Comment: 27 + 24 pages, 7 figures; v2 Typos corrected, references added; v3 Typo corrected; v4 Typos corrected, references adde

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Section: E2 Three-point Functionmentioning

confidence: 77%

Section: E12 Twist Two Operatorsmentioning

confidence: 99%

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Conformal Regge theory

Costa

Gonçalves

Penedones

2012

J. High Energ. Phys.

311

692

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“…The generalisation of (27) to tensor fields of arbitrary spin and to arbitrary conformal dimensions is straightforward (see for example [108]). An application to twist-two operators in N = 4 SYM can be found in [109]. Three-point functions of spin one operators [110] were studied in the context of anomalies in [111].…”

Section: Three-point Functionsmentioning

confidence: 99%

Duality between Wilson loops and gluon amplitudes

Henn

2009

Fortschritte der Physik

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An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N = 4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and pentagonal Wilson loop. Furthermore, we derive an all-order broken conformal Ward identity for the Wilson loops and analyse its consequences. Starting from six points, the Ward identity allows for an arbitrary function of conformal invariants to appear in the expression for the Wilson loop. We compute this function at six points and two loops and discuss its implications for the corresponding gluon amplitude. It is found that the duality disagrees with a conjecture for the gluon amplitudes by Bern et al. A recent calculation by Bern et al indeed shows that the latter conjecture breaks down at six gluons and at two loops. By doing a numerical comparison with their results we find that the duality between gluon amplitudes and Wilson loops is preserved.

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“…Here there are only 8 states. 10 The bare character formula is (3.36) (or equivalently (3.39)) from [17] without counter-terms:…”

mentioning

confidence: 99%

Explicit character formulae for positive energy unitary irreducible representations ofD= 4 conformal supersymmetry

Dobrev¹

2013

J. Phys. A: Math. Theor.

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This paper continues the project of constructing the character formulae for the positive energy unitary irreducible representations of the N -extended D = 4 conformal superalgebras su(2, 2/N ). In the first paper we gave the bare characters which represent the defining odd entries of the characters. Now we give the full explicit character formulae for N = 1 and for several important examples for N = 2 and N = 4.

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On twist-two operators in SYM

Cited by 10 publications

References 63 publications

Conformal Regge theory

Conformal Regge theory

Duality between Wilson loops and gluon amplitudes

Explicit character formulae for positive energy unitary irreducible representations ofD= 4 conformal supersymmetry

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