scholarly journals New magnetic symmetries in (d + 2)-dimensional QED

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Temple He ◽  
Prahar Mitra
Keyword(s):  
Ward Identity ◽  
General Ward ◽  
Soft Photon ◽  
Null Infinity ◽  
Gauge Transformations ◽  
Magnetic Symmetry ◽  
A Charge ◽  
Asymptotic Symmetries

Abstract Previous analyses of asymptotic symmetries in QED have shown that the subleading soft photon theorem implies a Ward identity corresponding to a charge generating divergent large gauge transformations on the asymptotic states at null infinity. In this work, we demonstrate that the subleading soft photon theorem is equivalent to a more general Ward identity. The charge corresponding to this Ward identity can be decomposed into an electric piece and a magnetic piece. The electric piece generates the Ward identity that was previously studied, but the magnetic piece is novel, and implies the existence of an additional asymptotic “magnetic” symmetry in QED.

scholarly journals Infinite-dimensional fermionic symmetry in supersymmetric gauge theories

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Thomas T. Dumitrescu ◽  
Temple He ◽  
Prahar Mitra ◽  
Andrew Strominger
Keyword(s):  
Ward Identity ◽  
Gauge Theories ◽  
Soft Photon ◽  
Supersymmetric Gauge Theories ◽  
Null Infinity ◽  
Infinite Dimensional ◽  
Charged Matter ◽  
Gauge Symmetries ◽  
Supersymmetric Gauge

Abstract We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian $$ \mathcal{N} $$ N = 1 theories with charged matter. The symmetry is parametrized by a spinor-valued function on an asymptotic S2 at null infinity. It is not manifest at the level of the Lagrangian, but acts non-trivially on physical states, and its Ward identity is the soft photino theorem. The infinite-dimensional fermionic symmetry resides in the same $$ \mathcal{N} $$ N = 1 supermultiplet as the physically non-trivial large gauge symmetries associated with the soft photon theorem.

scholarly journals Infrared effects and the soft photon theorem in massive QED

2019 ◽  
Vol 34 (01) ◽  
pp. 1950009 ◽  
Author(s):  
T. R. Govindarajan ◽  
Nikhil Kalyanapuram
Keyword(s):  
Soft Photon ◽  
Null Infinity ◽  
Massive Photon ◽  
Asymptotic Symmetries

Stueckelberg QED with massive photon is known to be renormalizable. But the limit of the mass going to zero is interesting because it brings the resolution to infrared questions through the role of Stueckelberg field at null infinity in addition to providing new asymptotic symmetries. Such symmetries facilitate the soft photon theorems also.

scholarly journals Asymptotic symmetries and celestial CFT

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Laura Donnay ◽  
Sabrina Pasterski ◽  
Andrea Puhm
Keyword(s):  
Principal Series ◽  
Finite Energy ◽  
Continuous Series ◽  
Asymptotic Symmetry ◽  
Null Infinity ◽  
Conformal Dimension ◽  
Contour Integrals ◽  
Celestial Sphere ◽  
Goldstone Modes ◽  
Asymptotic Symmetries

Abstract We provide a unified treatment of conformally soft Goldstone modes which arise when spin-one or spin-two conformal primary wavefunctions become pure gauge for certain integer values of the conformal dimension ∆. This effort lands us at the crossroads of two ongoing debates about what the appropriate conformal basis for celestial CFT is and what the asymptotic symmetry group of Einstein gravity at null infinity should be. Finite energy wavefunctions are captured by the principal continuous series ∆ ∈ 1 + iℝ and form a complete basis. We show that conformal primaries with analytically continued conformal dimension can be understood as certain contour integrals on the principal series. This clarifies how conformally soft Goldstone modes fit in but do not augment this basis. Conformally soft gravitons of dimension two and zero which are related by a shadow transform are shown to generate superrotations and non-meromorphic diffeomorphisms of the celestial sphere which we refer to as shadow superrotations. This dovetails the Virasoro and Diff(S2) asymptotic symmetry proposals and puts on equal footing the discussion of their associated soft charges, which correspond to the stress tensor and its shadow in the two-dimensional celestial CFT.

scholarly journals Loop corrected soft photon theorem as a Ward identity

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Miguel Campiglia ◽  
Alok Laddha
Keyword(s):  
Ward Identity ◽  
Soft Photon

scholarly journals Classical electrodynamics and gauge symmetry of the X-boson

2018 ◽  
Vol 33 (25) ◽  
pp. 1850148
Author(s):  
Mario J. Neves ◽  
Lucas Labre ◽  
L. S. Miranda ◽  
Everton M. C. Abreu
Keyword(s):  
Gauge Symmetry ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Massless Particle ◽  
Space Time ◽  
Dispersion Relations ◽  
Classical Electrodynamics ◽  
Gauge Transformations ◽  
Boson Model ◽  
A Charge

The classical electrodynamics for X-boson model is studied to understand it propagation in the space–time. The Maxwell equations of model and the correspondents wave equations are obtained. It indicate the dispersion relations of a massive and massless particle, that we interpret as photon and the X-boson. Thereby, a full diagonalization of the model is introduced to get a Maxwell sector summed up to Proca sector. Posteriorly, the X-fields and X-potentials of a relativistically moving charge is obtained in terms of a time-proper integral, and as an example, we calculate the fields and potentials for a charge in uniform moving. Finally, the gauge symmetry and gauge transformations were discussed.

scholarly journals Peeling property and asymptotic symmetries with a cosmological constant

2020 ◽  
Vol 29 (03) ◽  
pp. 2050020
Author(s):  
Vee-Liem Saw ◽  
Freeman Chee Siong Thun
Keyword(s):  
Order Term ◽  
Radial Coordinate ◽  
Conformally Flat ◽  
De Sitter ◽  
Null Infinity ◽  
Weyl Spinor ◽  
Sitter Spacetime ◽  
Maxwell Fields ◽  
Physical Spacetime ◽  
Asymptotic Symmetries

This paper establishes two things in an asymptotically (anti-)de Sitter spacetime, by direct computations in the physical spacetime (i.e. with no involvement of spacetime compactification): (1) The peeling property of the Weyl spinor is guaranteed. In the case where there are Maxwell fields present, the peeling properties of both Weyl and Maxwell spinors similarly hold, if the leading order term of the spin coefficient [Formula: see text] when expanded as inverse powers of [Formula: see text] (where [Formula: see text] is the usual spherical radial coordinate, and [Formula: see text] is null infinity, [Formula: see text]) has coefficient [Formula: see text]. (2) In the absence of gravitational radiation (a conformally flat [Formula: see text]), the group of asymptotic symmetries is trivial, with no room for supertranslations.

scholarly journals Asymptotic symmetries at null-infinity for the Rarita-Schwinger field with magnetic term

2021 ◽  
Author(s):  
Bilyana Lyudmilova Tomova
Keyword(s):  
Magnetic Charge ◽  
Flat Space ◽  
Space Time ◽  
Boundary Term ◽  
Null Infinity ◽  
Dimensional Algebra ◽  
Asymptotically Flat ◽  
Yang Mills ◽  
Infinite Dimensional ◽  
Asymptotic Symmetries

Abstract In this paper we study the magnetic charges of the free massless Rarita-Schwinger field in four dimensional asymptotically flat space-time. This is the first step towards extending the study of the dual BMS charges to supergravity. The magnetic charges appear due to the addition of a boundary term in the action. This term is similar to the theta term in Yang-Mills theory. At null-infinity an infinite dimensional algebra is discovered, both for the electric and magnetic charge.

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