Results 41 to 50 of about 291 (152)
We perform the constraint analysis of a three (2 + 1)-dimensional (3D) field-theoretic example for Hodge theory (i) at the classical level within the ambit of Lagrangian formulation, and (ii) at the quantum level within the framework of Becchi-Rouet ...
Bhagya. R +3 more
doaj +1 more source
Comments on the RG‐Flow in Open String Field Theory
Abstract We define a metric G$G$ on the KBc‐subalgebra modulo gauge and describe the worldsheet RG‐flow as the gradient flow of the action of cubic open string field theory, where the flow lines are kink‐solitons. In particular, for a constant tachyon the gradient flow equations are equivalent to the RG‐equations. Additionally, a more general family of
Julius Hristov
wiley +1 more source
Feynman diagrams in four-dimensional holomorphic theories and the Operatope
We study a class of universal Feynman integrals which appear in four-dimensional holomorphic theories. We recast the integrals as the Fourier transform of a certain polytope in the space of loop momenta (a.k.a. the “Operatope”).
Kasia Budzik +4 more
doaj +1 more source
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
A pure spinor twistor description of the D = 10 superparticle
We present a novel twistor formulation of the ten-dimensional massless super-particle. This formulation is based on the introduction of pure spinor variables through a field redefinition of another model for the superparticle, and in the new description ...
Diego García Sepúlveda, Max Guillen
doaj +1 more source
Applications of the Dressing Field Method are reviewed and further expanded to the very foundations of the supersymmetric framework, where it allows to build relational supersymmetric field theory. Furthermore, a novel approach is proposed giving a unified description of fermionic matter fields and bosonic gauge fields: a Matter‐Interaction ...
Jordan François, L. Ravera
wiley +1 more source
Constrained BRST-BFV Lagrangian formulations for higher spin fields in Minkowski spaces
BRST-BFV method to construct constrained Lagrangian formulations for (ir)reducible half-integer higher-spin Poincare group representations in Minkowski space is suggested.
A. A. Reshetnyak
doaj +1 more source
Functorial constructions related to double Poisson vertex algebras
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
wiley +1 more source
Proca theory from the spinning worldline
We obtain Proca field theory from the quantisation of the N $$ \mathcal{N} $$ = 2 supersymmetric worldline upon supplementing the graded BRST-algebra with an extra multiplet of oscillators.
Matthias Carosi, Ivo Sachs
doaj +1 more source
Symmetries in the Hamiltonian Formulation of String Theory
In the context of the Hamiltonian formulation of string theory, a widely acknowledged issue is the inability of the first‐class constraints to accurately reproduce the Lagrangian symmetry transformations. We take a critical look at the Hamiltonian formulation of the Polyakov string and demonstrate, using Castellani′s procedure, that diffeomorphism and ...
Héctor A. Benítez +2 more
wiley +1 more source

