An analytic superfield formalism for tree superamplitudes in D=10 and D=11

Tree amplitudes of 10D supersymmetric Yang-Mills theory (SYM) and 11D supergravity (SUGRA) are collected in multi-particle counterparts of analytic on-shell superfields. These have essentially the same form as their chiral 4D counterparts describing N = 4 SYM and N = 8 SUCRA, but with components dep...

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Detalles Bibliográficos
Autor: Bandos, Igor
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/27920
Acceso en línea:http://hdl.handle.net/10810/27920
Access Level:acceso abierto
Palabra clave:field theories in higher dimensions
scattering amplitudes
supergravity-models
superspaces
spinor moving frame
yang-mills theory
harmonic superspace
string theory
superparticle
quantization
amplitudes
supergravity
superstrings
mechanics
Descripción
Sumario:Tree amplitudes of 10D supersymmetric Yang-Mills theory (SYM) and 11D supergravity (SUGRA) are collected in multi-particle counterparts of analytic on-shell superfields. These have essentially the same form as their chiral 4D counterparts describing N = 4 SYM and N = 8 SUCRA, but with components dependent on a different set of bosonic variables. These are the D=10 and D=11 spinor helicity variables, the set of which includes the spinor frame variable (Lorentz harmonics) and a scalar density, and generalized homogeneous coordinates of the cosec SO(D-2)/SO(D-4)circle times U(1) (internal harmonics). We present an especially convenient parametrization of the spinor harmonics (Lorentz covariant gauge fixed with the use of an auxiliary gauge symmetry) and use this to find (a gauge fixed version of) the 3-point tree superamplitudes of 10D SYM and 11D SUCRA which generalize the 4 dimensional anti-MHV superamplitudes.