Matrix pentagons. (English) Zbl 1373.81281
Summary: The Operator Product Expansion for null polygonal Wilson loop in planar maximally supersymmetric Yang-Mills theory runs systematically in terms of multi-particle pentagon transitions which encode the physics of excitations propagating on the color flux tube ending on the sides of the four-dimensional contour. Their dynamics was unraveled in the past several years and culminated in a complete description of pentagons as an exact function of the ’t Hooft coupling. In this paper we provide a solution for the last building block in this program, the \(\operatorname{SU}(4)\) matrix structure arising from internal symmetry indices of scalars and fermions. This is achieved by a recursive solution of the Mirror and Watson equations obeyed by the so-called singlet pentagons and fixing the form of the twisted component in their tensor decomposition. The non-singlet, or charged, pentagons are deduced from these by a limiting procedure.
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81R25 | Spinor and twistor methods applied to problems in quantum theory |
| 51E12 | Generalized quadrangles and generalized polygons in finite geometry |
References:
| [1] | Alday, L. F.; Gaiotto, D.; Maldacena, J.; Sever, A.; Vieira, P., An operator product expansion for polygonal null Wilson loops, J. High Energy Phys., 1104, Article 088 pp. (2011) · Zbl 1250.81071 |
| [2] | Basso, B.; Sever, A.; Vieira, P., Spacetime and flux tube S-matrices at finite coupling for \(N = 4\) supersymmetric Yang-Mills theory, Phys. Rev. Lett., 111, Article 091602 pp. (2013) |
| [3] | Belitsky, A. V.; Gorsky, A. S.; Korchemsky, G. P., Logarithmic scaling in gauge/string correspondence, Nucl. Phys. B, 748, 24 (2006) · Zbl 1186.81100 |
| [4] | Basso, B., Exciting the GKP string at any coupling, Nucl. Phys. B, 857, 254 (2012) · Zbl 1246.81206 |
| [5] | Basso, B.; Sever, A.; Vieira, P., Space-time S-matrix and flux tube S-matrix, II: extracting and matching data, J. High Energy Phys., 1401, Article 008 pp. (2014) |
| [6] | Basso, B.; Sever, A.; Vieira, P., Space-time S-matrix and flux-tube S-matrix, III: the two-particle contributions, J. High Energy Phys., 1408, Article 085 pp. (2014) |
| [7] | Belitsky, A. V., Nonsinglet pentagons and NHMV amplitudes, Nucl. Phys. B, 896, 493 (2015) · Zbl 1331.81283 |
| [8] | Basso, B.; Sever, A.; Vieira, P., Space-time S-matrix and flux-tube S-matrix, IV: gluons and fusion, J. High Energy Phys., 1409, Article 149 pp. (2014) |
| [9] | Belitsky, A. V., Fermionic pentagons and NMHV hexagon, Nucl. Phys. B, 894, 108 (2015) · Zbl 1328.81156 |
| [10] | Belitsky, A. V., On factorization of multiparticle pentagons, Nucl. Phys. B, 897, 346 (2015) · Zbl 1329.81263 |
| [11] | Basso, B.; Caetano, J.; Cordova, L.; Sever, A.; Vieira, P., OPE for all helicity amplitudes, J. High Energy Phys., 1508, Article 018 pp. (2015) · Zbl 1388.81277 |
| [12] | Basso, B.; Caetano, J.; Cordova, L.; Sever, A.; Vieira, P., OPE for all helicity amplitudes, II: form factors and data analysis · Zbl 1388.81278 |
| [13] | Belitsky, A. V.; Derkachov, S. E.; Manashov, A. N., Quantum mechanics of null polygonal Wilson loops, Nucl. Phys. B, 882, 303 (2014) · Zbl 1285.81047 |
| [14] | Belitsky, A. V., Supersymmetric quantum mechanics of the flux tube, Nucl. Phys. B, 913, 551 (2016) · Zbl 1349.81133 |
| [15] | Basso, B.; Sever, A.; Vieira, P., Collinear limit of scattering amplitudes at strong coupling, Phys. Rev. Lett., 113, Article 261604 pp. (2014) |
| [16] | Basso, B.; Sever, A.; Vieira, P., Hexagonal Wilson loops in planar \(N = 4\) SYM theory at finite coupling, J. Phys. A, 49, Article 41LT01 pp. (2016) · Zbl 1349.81170 |
| [17] | Basso, B.; Belitsky, A. V., Luescher formula for GKP string, Nucl. Phys. B, 860, 1 (2012) · Zbl 1246.81207 |
| [18] | Basso, B.; Rej, A., Bethe Ansätze for GKP strings, Nucl. Phys. B, 879, 162 (2014) · Zbl 1284.81225 |
| [19] | Zamolodchikov, A. B.; Zamolodchikov, A. B., Relativistic factorized S matrix in two-dimensions having O(N) isotopic symmetry, Nucl. Phys. B, 133, 525 (1978) |
| [20] | Berg, B.; Karowski, M.; Weisz, P.; Kurak, V., Factorized U(N) symmetric S-matrices in two-dimensions, Nucl. Phys. B, 134, 125 (1978) |
| [21] | Alday, L. F.; Maldacena, J. M., Comments on operators with large spin, J. High Energy Phys., 0711, Article 019 pp. (2007) · Zbl 1245.81257 |
| [22] | Belitsky, A. V., Nonperturbative enhancement of superloop at strong coupling, Nucl. Phys. B, 911, 425 (2016) · Zbl 1346.81126 |
| [23] | Bonini, A.; Fioravanti, D.; Piscaglia, S.; Rossi, M., On the contribution of scalars to \(N = 4\) SYM amplitudes, Phys. Rev. D, 95, Article 041902 pp. (2017) |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
