- Letter
- Open Access
Towards all loop supergravity amplitudes on
Phys. Rev. D 104, L041901 – Published 16 August, 2021
DOI: https://doi.org/10.1103/PhysRevD.104.L041901
Abstract
We study the four-point function of the superconformal primary of the stress-tensor multiplet in four-dimensional super Yang-Mills theory, at strong coupling and in a large- expansion. This observable is holographically dual to a four-graviton amplitude in type IIB supergravity on . We construct the maximal transcendental weight piece of the correlator at order and compare it with the flat-space limit of the corresponding two-loop amplitude. This allows us to conjecture structures of the correlator/amplitude which should be present at any loop order.
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References (32)
- O. Aharony, L. F. Alday, A. Bissi, and E. Perlmutter, J. High Energy Phys. 07 (2017) 036.
- L. F. Alday, Phys. Rev. Lett. 119, 111601 (2017).
- S. Caron-Huot, J. High Energy Phys. 09 (2017) 078.
- D. Meltzer, E. Perlmutter, and A. Sivaramakrishnan, J. High Energy Phys. 03 (2020) 061.
- L. F. Alday and A. Bissi, Phys. Rev. Lett. 119, 171601 (2017).
- F. Aprile, J. M. Drummond, P. Heslop, and H. Paul, J. High Energy Phys. 01 (2018) 035.
- L. F. Alday and S. Caron-Huot, J. High Energy Phys. 12 (2018) 017.
- L. F. Alday and X. Zhou, J. High Energy Phys. 09 (2020) 008.
- L. F. Alday, A. Bissi, and E. Perlmutter, J. High Energy Phys. 06 (2019) 010.
- D. J. Binder, S. M. Chester, S. S. Pufu, and Y. Wang, J. High Energy Phys. 12 (2019) 119.
- S. M. Chester, J. High Energy Phys. 04 (2020) 193.
- F. Aprile, J. M. Drummond, P. Heslop, and H. Paul, J. High Energy Phys. 02 (2018) 133.
- F. Aprile, J. Drummond, P. Heslop, and H. Paul, Phys. Rev. D 98, 126008 (2018).
We consider as the highest transcendental those harmonic polylogarithms with the maximal transcendental weight in the usual sense, disregarding constants, which either have vanishing discontinuity or trivially come from analytic continuation of other functions.
- M. Nirschl and H. Osborn, Nucl. Phys. B711, 409 (2005).
- F. A. Dolan, L. Gallot, and E. Sokatchev, J. High Energy Phys. 09 (2004) 056.
- C. Beem, L. Rastelli, and B. C. van Rees, Phys. Rev. D 96, 046014 (2017).
- F. A. Dolan and H. Osborn, Ann. Phys. (Amsterdam) 321, 581 (2006).
- S. Caron-Huot and A.-K. Trinh, J. High Energy Phys. 01 (2019) 196.
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevD.104.L041901 for more technical details on harmonic polylogarithms, the definition of the amplitudes and details of our computations.
- A. Bissi, G. Fardelli, and A. Georgoudis, J. Phys. A 54, 324002 (2021).
- Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein, and J. S. Rozowsky, Nucl. Phys. B530, 401 (1998).
- V. A. Smirnov, Phys. Lett. B 460, 397 (1999).
- V. A. Smirnov and O. Veretin, Nucl. Phys. B566, 469 (2000).
- A. Kotikov, Phys. Lett. B 254, 158 (1991).
- E. Remiddi, Nuovo Cimento A 110, 1435 (1997).
- J. M. Henn, Phys. Rev. Lett. 110, 251601 (2013).
- O. Tarasov, Phys. Rev. D 54, 6479 (1996).
- R. Lee, Nucl. Phys. B830, 474 (2010).
It will also be clearer later from the possible dispersion relation that this has to be the case, since this diagram does not allow a double -channel cut.
- R. E. Cutkosky, J. Math. Phys. (N.Y.) 1, 429 (1960).
- J. Bosma, K. J. Larsen, and Y. Zhang, Phys. Rev. D 97, 105014 (2018).