DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Constructing N$$$$ \mathcal{N} $$$$ = 4 Coulomb branch superamplitudes

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [2]
  1. Univ. of California, Santa Barbara, CA (United States); Univ. of Michigan, Ann Arbor, MI (United States)
  2. Univ. of California, Santa Barbara, CA (United States)

We study scattering amplitudes of massive BPS states on the Coulomb branch of 4dN = 4 super-Yang-Mills, utilising a little group covariant on-shell superspace for massive particles. Super-BCFW recursion for massive amplitudes is constructed and its validity is proven for all Coulomb branch superamplitudes. We then determine the exact three-particle superamplitudes for massive states. These ingredients allow us to explicitly compute the four- and five-particle superamplitudes, which is the first non-trivial usage of BCFW recursion for amplitudes with entirely massive external states. The manifest little group covariance helps clarify both the role of special kinematic properties of BPS states and the organizational structures of the superamplitudes.

Research Organization:
Univ. of California, Santa Barbara, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0014129
OSTI ID:
1612089
Journal Information:
Journal of High Energy Physics (Online), Vol. 2019, Issue 8; ISSN 1029-8479
Publisher:
Springer BerlinCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

References (76)

Helicity amplitudes for QCD with massive quarks text January 2018
Helicity amplitudes for QCD with massive quarks journal April 2018
Notes on the scattering amplitude — Wilson loop duality journal July 2011
Quantum Field Theory book January 2007
Conformal properties of four-gluon planar amplitudes and Wilson loops journal May 2008
Review of AdS/CFT Integrability, Chapter VI.1: Superconformal Symmetry journal May 2011
New recursion relations for tree amplitudes of gluons journal May 2005
A proof of the correlation function/supersymmetric Wilson loop correspondence journal August 2011
Amplitudes and spinor-helicity in six dimensions journal July 2009
The Amplituhedron journal October 2014
On-shell recursion relations for all Born QCD amplitudes journal April 2007
Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory journal October 2014
Grassmannian Geometry of Scattering Amplitudes book May 2016
Dual conformal properties of six-dimensional maximal super Yang-Mills amplitudes journal January 2011
Integrands for QCD rational terms and $ \mathcal{N} = {4} $ SYM from massive CSW rules journal June 2012
Recursion relations for gauge theory amplitudes with massive particles journal July 2005
Multi-parton amplitudes in gauge theories journal February 1991
Magic identities for conformal four-point integrals journal January 2007
Gluon scattering amplitudes at strong coupling journal June 2007
Four-loop planar amplitude and cusp anomalous dimension in maximally supersymmetric Yang-Mills theory journal April 2007
On-shell recursion relations for generic theories journal March 2010
Semi-classical quantization in N = 4 supersymmetric Yang-Mills theory and duality journal June 1997
Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1 journal May 1979
Spontaneous breaking of supersymmetry through dimensional reduction journal March 1979
What is the simplest quantum field theory? journal September 2010
All tree-level amplitudes in massless QCD journal January 2011
Eliminating spurious poles from gauge-theoretic amplitudes journal May 2013
M5-brane and D-brane scattering amplitudes journal December 2017
From six to four and more: massless and massive maximal super Yang-Mills amplitudes in 6d and 4d and their hidden symmetries journal January 2015
Dual superconformal symmetry of scattering amplitudes in super-Yang–Mills theory journal March 2010
No triangles on the moduli space of maximally supersymmetric gauge theory journal May 2010
The complete planar S-matrix of $ \mathcal{N} = 4 $ SYM as a Wilson loop in twistor space journal December 2010
Dual superconformal symmetry, and the amplitude/Wilson loop connection journal September 2008
Spontaneous generation of massive multiplets and central charges in extended supersymmetric theories journal March 1979
Graßmannian integrals in Minkowski signature, amplitudes, and integrability journal April 2019
Duality between Wilson loops and gluon amplitudes journal June 2009
Scattering into the fifth dimension of $$ \mathcal{N} $$ = 4 super Yang-Mills journal January 2010
Higgs-regularized three-loop four-gluon amplitude in $ \mathcal{N} = 4 $ SYM: exponentiation and Regge limits journal April 2010
More loops and legs in Higgs-regulated $$ \mathcal{N} = 4 $$ SYM amplitudes journal August 2010
Yangian symmetry of scattering amplitudes in 𝒩 = 4 super Yang-Mills theory journal May 2009
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes journal February 2010
Solution to the Ward identities for superamplitudes journal October 2010
SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks journal March 2006
The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM journal January 2011
Spinor helicity and dual conformal symmetry in ten dimensions journal August 2011
On-shell superamplitudes in $ \mathcal{N} < 4 $ SYM journal September 2011
Scattering Amplitudes in Gauge Theory and Gravity book January 2015
Massive amplitudes on the Coulomb branch of $$ \mathcal{N} = 4 $$ SYM journal December 2011
The S matrix of 6D super Yang-Mills and maximal supergravity from rational maps journal September 2018
Supertwistor space for 6D maximal super Yang-Mills journal April 2010
Exacting 𝒩 = 4 superconformal symmetry journal November 2009
All tree-level amplitudes in 𝒩 = 4 SYM journal April 2009
Integrability of black hole orbits in maximal supergravity journal July 2019
Unitary lowest weight representations of the noncompact supergroup OSp(2 m */2 n ) journal March 1991
Simple superamplitudes in higher dimensions journal June 2012
Symmetries and analytic properties of scattering amplitudes in SYM theory journal June 2010
Direct Proof of the Tree-Level Scattering Amplitude Recursion Relation in Yang-Mills Theory journal May 2005
Local integrals for planar scattering amplitudes journal June 2012
Jumpstarting the all-loop S-matrix of planar $ \mathcal{N} = {4} $ super Yang-Mills journal July 2012
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes text January 2007
On-Shell Recursion Relations for Generic Theories text January 2008
What is the Simplest Quantum Field Theory? text January 2008
Duality between Wilson loops and gluon amplitudes text January 2009
Eliminating spurious poles from gauge-theoretic amplitudes preprint January 2009
Supertwistor space for 6D maximal super Yang-Mills text January 2009
Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits text January 2010
Notes on the scattering amplitude / Wilson loop duality text January 2010
Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions text January 2010
Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory text January 2014
The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps text January 2018
Grassmannian Integrals in Minkowski Signature, Amplitudes, and Integrability text January 2018
New Recursion Relations for Tree Amplitudes of Gluons text January 2004
Multi-Parton Amplitudes in Gauge Theories text January 2005
Scattering into the fifth dimension of N=4 super Yang-Mills text January 2009
Superconformal invariants for scattering amplitudes in N=4 SYM theory text January 2010
More loops and legs in Higgs-regulated N=4 SYM amplitudes text January 2010

Cited By (3)

On-shell constructibility of Born amplitudes in spontaneously broken gauge theories journal February 2020
On-shell constructibility of Born amplitudes in spontaneously broken gauge theories text January 2020
The supersymmetric spinning polynomial preprint January 2020

Similar Records

Supersymmetric Yang-Mills and supergravity amplitudes at one loop
Journal Article · 2009 · Physical Review. D, Particles Fields · OSTI ID:21322500

Tree-level amplitudes in N=8 supergravity
Journal Article · 2009 · Physical Review. D, Particles Fields · OSTI ID:21296381

The Coulomb Branch of 3d $${\mathcal{N}= 4}$$ N = 4 Theories
Journal Article · 2017 · Communications in Mathematical Physics · OSTI ID:1423961