We study the first non-planar correction to gluon scattering amplitudes in N = 4 SYM theory. The correction takes the form of a double trace partial amplitude and is suppressed by one power of 1/N with respect to the leading single trace contribution. We extend the duality between planar scattering amplitudes and null polygonal Wilson loops to the double trace amplitude. The new duality relates the amplitude to the correlation function of two infinite null polygonal Wilson lines that are subject to a quantum periodicity constraint. We test the duality perturbatively at one-loop order and demonstrate it for the dual string in AdS. The duality allows us to extend the notion of the loop integrand beyond the planar limit and to determine it using recursion relations. It also allows one to apply the integrabilitybased pentagon operator product expansion approach to the first non-planar order. arXiv:1802.09395v2 [hep-th] 30 Jul 2018
Abstract:The target-space interpretation of the exact (in α ) reflection coefficient for scattering from Euclidean black-hole horizons in classical string theory is studied. For concreteness, we focus on the solvable SL(2, R) k /U(1) black hole. It is shown that it exhibits a fascinating UV/IR mixing, dramatically modifying the late-time behavior of general relativity. We speculate that this might play an important role in the black-hole information puzzle, as well as in clarifying features related with the non-locality of Little String Theory.
Abstract:The potential behind the horizon of an eternal black hole in classical theories is described in terms of data that is available to an external observer -the reflection coefficient of a wave that scatters on the black hole. In GR and perturbative string theory (in α ), the potential is regular at the horizon and it blows up at the singularity. The exact reflection coefficient, that is known for the SL(2, R) k /U(1) black hole and includes nonperturbative α effects, seems however to imply that there is a highly non-trivial structure just behind the horizon.
Abstract:We argue that non-perturbative α stringy effects render the Hartle-Hawking state associated with the SL(2)/U(1) eternal black hole singular at the horizon. We discuss implications of this observation on firewalls in string theory.
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