Quantum spectral curve of the N=6 supersymmetric Chern-Simons theory

Physical Review Letters

Volumn 113, Issue 2, 2014, Pages

  Cavaglià, Andrea ^a   Fioravanti, Davide ^b   Gromov, Nikolay ^c,d   Tateo, Roberto ^a  

^a UNIVERSITY OF TURIN   (Italy)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c KING'S COLLEGE LONDON   (United Kingdom)

^d StPetersburg INP   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES; QUANTUM THEORY;

CHERN-SIMONS THEORY; INTEGRABILITY; INTERPOLATING FUNCTIONS; RIEMANN HILBERT PROBLEMS; SPECTRAL CURVES; YANG-MILLS THEORY;

SUPERSYMMETRY;

EID: 84904356341     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.113.021601     Document Type: Article

References (27)

1. O. Aharony, O. Bergman, D.L. Jafferis, and J. Maldacena, J. High Energy Phys. 10 (2008) 091. JHEPFG 1029-8479 10.1088/1126-6708/2008/10/091
2. J.A. Minahan and K. Zarembo, J. High Energy Phys. 09 (2008) 040. JHEPFG 1029-8479 10.1088/1126-6708/2008/09/040
3. B. Stefanski, Jr., Nucl. Phys. B808, 80 (2009). NUPBBO 0550-3213 10.1016/j.nuclphysb.2008.09.015
4. G. Arutyunov and S. Frolov, J. High Energy Phys. 09 (2008) 129. JHEPFG 1029-8479 10.1088/1126-6708/2008/09/129
5. N. Gromov and P. Vieira, J. High Energy Phys. 02 (2009) 040. JHEPFG 1029-8479 10.1088/1126-6708/2009/02/040
6. N. Gromov and P. Vieira, J. High Energy Phys. 01 (2009) 016. JHEPFG 1029-8479 10.1088/1126-6708/2009/01/016
7. D. Bombardelli, D. Fioravanti, and R. Tateo, Nucl. Phys. B834, 543 (2010). NUPBBO 0550-3213 10.1016/j.nuclphysb.2010.04.005
8. N. Gromov and F. Levkovich-Maslyuk, J. High Energy Phys. 06 (2010) 088. JHEPFG 1029-8479 10.1007/JHEP06(2010)088
9. T. Klose, Lett. Math. Phys. 99, 401 (2012). LMPHDY 0377-9017 10.1007/s11005-011-0520-y
10. D. Correa, J. Maldacena, and A. Sever, J. High Energy Phys. 08 (2012) 134. JHEPFG 1029-8479 10.1007/JHEP08(2012)134
11. N. Drukker, J. High Energy Phys. 10 (2013) 135. JHEPFG 1029-8479 10.1007/JHEP10(2013)135
12. D. Correa, J. Henn, J. Maldacena, and A. Sever, J. High Energy Phys. 06 (2012) 048. JHEPFG 1029-8479 10.1007/JHEP06(2012)048
13. N. Gromov and A. Sever, J. High Energy Phys. 11 (2012) 075. JHEPFG 1029-8479 10.1007/JHEP11(2012)075
14. N. Gromov, F. Levkovich-Maslyuk, and G. Sizov, J. High Energy Phys. 10 (2013) 036. JHEPFG 1029-8479 10.1007/JHEP10(2013)036
15. A. Lewkowycz and J. Maldacena, J. High Energy Phys. 05 (2014) 025. JHEPFG 1029-8479 10.1007/JHEP05(2014)025
16. M.S. Bianchi, L. Griguolo, M. Leoni, S. Penati, and D. Seminara, arXiv:1402.4128.
17. N. Gromov, V. Kazakov, S. Leurent, and D. Volin, Phys. Rev. Lett. 112, 011602 (2014). PRLTAO 0031-9007 10.1103/PhysRevLett.112.011602
18. This result was presented by D. Volin in his talk at the conference Integrability in Gauge and String Theory 2013 in Utrecht.
19. N. Gromov, F. Levkovich-Maslyuk, G. Sizov, and S. Valatka, arXiv:1402.0871.
20. N. Gromov, V. Kazakov, and P. Vieira, Phys. Rev. Lett. 103, 131601 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.131601
21. A. Cavaglià, D. Fioravanti, and R. Tateo, Nucl. Phys. B843, 302 (2011). NUPBBO 0550-3213 10.1016/j.nuclphysb.2010.09.015
22. A. Cavaglià, D. Fioravanti, and R. Tateo, Nucl. Phys. B877, 852 (2013). NUPBBO 0550-3213 10.1016/j.nuclphysb.2013.10.023
23. N. Gromov, V. Kazakov, S. Leurent, and D. Volin, J. High Energy Phys. 07 (2012) 023. JHEPFG 1029-8479 10.1007/JHEP07(2012)023
24. The Hirota equation holds when the (Equation presented) functions are evaluated on a Riemann section with long branch cuts of the form (Equation presented), (Equation presented) (see Ref. [23] for an explanation), and, by default, we consider the (Equation presented) functions as defined on this sheet, called the mirror sheet. On the contrary, the principal values of the (Equation presented) and (Equation presented) functions are associated with a sheet with short cuts (the magic sheet), as in Fig. 2. By definition, Eq. (3) is valid for (Equation presented) slightly above the real axis and has to be extended by analytic continuation.
25. N. Gromov, V. Kazakov, S. Leurent, and D. Volin, arXiv:1405.4857.
26. G. Arutyunov, M. de Leeuw, and S.J. van Tongeren, J. High Energy Phys. 02 (2013) 012. JHEPFG 1029-8479 10.1007/JHEP02(2013)012
27. N. Gromov and G. Sizov, arXiv:1403.1894.