We derive an exact algebraic identity between the two–loop four–point amplitude in ABJM theory and the corresponding one–loop amplitude in N = 4 SYM theory. This identity generalizes previous partial results to an exact relation valid at all orders in the IR regulator. Moreover, it allows to conjecture an exact iterative expression for the complete three dimensional amplitude in terms of the BDS ansatz for the four dimensional one, indicating that the strict relation between the two amplitudes experimented at two loops might propagate to all orders. In particular, an almost complete expression for the ABJM amplitude at four loops is derived

Bianchi, M., Leoni, M., & Penati, S. (2012). An All Order Identity between ABJM and N=4 SYM Four-Point Amplitudes. JOURNAL OF HIGH ENERGY PHYSICS, 1204, 045 [10.1007/JHEP04(2012)045].

An All Order Identity between ABJM and N=4 SYM Four-Point Amplitudes

PENATI, SILVIA
2012

Abstract

We derive an exact algebraic identity between the two–loop four–point amplitude in ABJM theory and the corresponding one–loop amplitude in N = 4 SYM theory. This identity generalizes previous partial results to an exact relation valid at all orders in the IR regulator. Moreover, it allows to conjecture an exact iterative expression for the complete three dimensional amplitude in terms of the BDS ansatz for the four dimensional one, indicating that the strict relation between the two amplitudes experimented at two loops might propagate to all orders. In particular, an almost complete expression for the ABJM amplitude at four loops is derived
No
Articolo in rivista - Articolo scientifico
Scientifica
AdS/CFT, Chern–Simons matter theories, N = 4 SYM, scattering amplitudes
English
045
Bianchi, M., Leoni, M., & Penati, S. (2012). An All Order Identity between ABJM and N=4 SYM Four-Point Amplitudes. JOURNAL OF HIGH ENERGY PHYSICS, 1204, 045 [10.1007/JHEP04(2012)045].
Bianchi, M; Leoni, M; Penati, S
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/46075
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