The ultraviolet finiteness $ \mathcal{N} = 8 $ supergravity
نویسندگان
چکیده
منابع مشابه
Progress on Ultraviolet Finiteness of Supergravity
In this lecture we summarize recent calculations pointing to the possible ultraviolet finiteness of N = 8 supergravity in four dimensions. We outline the modern unitarity method, which enables multiloop calculations in this theory and allows us to exploit a remarkable relation between tree-level gravity and gauge-theory amplitudes. We also describe a link between observed cancellations at loop ...
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We describe the constraints imposed on quantum maximal supergravity theories in perturbation theory by the two duality frameworks: S-duality in superstring theory and the AdS/CFT holographic correspondence between IIB superstring theory and N = 4 super Yang-Mills theory. E-mail address: [email protected]
متن کاملOn UV Finiteness of the Four Loop N=8 Supergravity
The 4-loop 4-point amplitude in N=8 d=4 supergravity is UV finite due to supersymmetry. Even better UV behavior of the 4-loop 4-point amplitude, analogous to that of N=4 SYM theory, has been recently established by computation in [1]. All n-point 4-loop amplitudes with n > 5 are finite on dimensional grounds. However, the situation with the 5-point amplitudes remained unclear. In this paper we ...
متن کاملCancellations beyond finiteness in N=8 supergravity at three loops.
We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions no worse than that of N=4 super-Yang-Mills theory--a finite theory in four dimensions. Similar cancellations ...
متن کاملUltraviolet Behavior ofN 1⁄4 8 Supergravity at Four Loops
Z. Bern, J. J.M. Carrasco, L. J. Dixon, H. Johansson, and R. Roiban Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA SLAC National Accelerator Laboratory, Stanford University, Stanford, California 94309, USA Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802, USA (Received 25 May 2009; published 17 August 2009) We describe...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2010
ISSN: 1029-8479
DOI: 10.1007/jhep12(2010)009