Structure of supersymmetric sums in multiloop unitarity cuts

被引：45

作者：

Bern, Z. ^{[1
]}

Carrasco, J. J. M. ^{[1
]}

Ita, H. ^{[1
]}

Johansson, H. ^{[1
]}

Roiban, R. ^{[2
]}

机构：

[1] Univ Calif Los Angeles, Dept Phys & Astron, Los Angeles, CA 90095 USA

[2] Penn State Univ, Dept Phys, University Pk, PA 16802 USA

来源：

PHYSICAL REVIEW D | 2009年 / 80卷 / 06期

基金：

美国国家科学基金会;

关键词：

ONE-LOOP AMPLITUDES; SUPER-YANG-MILLS; LARGE-N LIMIT; STRING THEORY; GAUGE-THEORY; TREE AMPLITUDES; MULTIPLE BREMSSTRAHLUNG; FIELD-THEORIES; GRAVITY; SUPERGRAVITY;

D O I：

10.1103/PhysRevD.80.065029

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper we describe algebraic and diagrammatic methods related to the maximally helicity-violating generating function method for evaluating and exposing the structure of supersymmetric sums over the states crossing generalized unitarity cuts of multiloop amplitudes in four dimensions. We focus mainly on cuts of maximally supersymmetric Yang-Mills amplitudes. We provide various concrete examples, some of which are directly relevant for the calculation of four-loop amplitudes. Additionally, we discuss some cases with less-than-maximal supersymmetry. The results of these constructions carry over to generalized cuts of multiloop supergravity amplitudes through use of the Kawai-Lewellen-Tye relations between gravity and gauge-theory tree amplitudes.

引用

页数：32

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