scholarly journals Superspace first order formalism, trivial symmetries and electromagnetic interactions of linearized supergravity

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
I. L. Buchbinder ◽  
S. James Gates ◽  
K. Koutrolikos
Keyword(s):  
Electromagnetic Interaction ◽  
Vector Multiplet ◽  
Gauge Transformations ◽  
First Order ◽  
Interaction Vertex ◽  
Electromagnetic Interactions ◽  
Minimal Supergravity

Abstract We introduce a first order description of linearized non-minimal (n = −1) supergravity in superspace, using the unconstrained prepotential superfield instead of the conventionally constrained super one forms. In this description, after integrating out the connection-like auxiliary superfield of first-order formalism, the superspace action is expressed in terms of a single superfield which combines the prepotential and compensator superfields. We use this description to construct the supersymmetric cubic interaction vertex 3/2 − 3/2 − 1/2 which describes the electromagnetic interaction between two non-minimal supergravity multiplets (superspin Y = 3/2 which contains a spin 2 and a spin 3/2 particles) and a vector multiplet (superspin Y = 1/2 contains a spin 1 and a spin 1/2 particles). Exploring the trivial symmetries emerging between the two Y = 3/2 supermultiplets, we show that this cubic vertex must depend on the vector multiplet superfield strength. This result generalize previous results for non-supersymmetric electromagnetic interactions of spin 2 particles. The constructed cubic interaction generates non-trivial deformations of the gauge transformations.

scholarly journals ON SUPERLUMINAL FERMIONS WITHIN THE SECOND DERIVATIVE EQUATION

2012 ◽  
Vol 27 (14) ◽  
pp. 1250081 ◽  
Author(s):  
S. I. KRUGLOV
Keyword(s):  
Energy Momentum Tensor ◽  
Canonical Quantization ◽  
Vacuum Expectation ◽  
Momentum Tensor ◽  
Order Equation ◽  
Quantum Mechanical ◽  
Projection Operators ◽  
The Novel ◽  
First Order ◽  
Electromagnetic Interactions

We postulate the second-order derivative equation with four parameters for spin-1/2 fermions possessing two mass states. For some choice of parameters fermions propagate with the superluminal speed. Thus, the novel tachyonic equation is suggested. The relativistic 20-component first-order wave equation is formulated and projection operators extracting states with definite energy and spin projections are obtained. The Lagrangian formulation of the first-order equation is presented and the electric current and energy–momentum tensor are found. The minimal and nonminimal electromagnetic interactions of fermions are considered and Schrödinger's form of the equation and the quantum-mechanical Hamiltonian are obtained. The canonical quantization of the field in the first-order formalism is performed and we find the vacuum expectation of chronological pairing of operators.

scholarly journals Quantum Gravity at the Corner

Universe ◽  
2018 ◽  
Vol 4 (10) ◽  
pp. 107 ◽  
Author(s):  
Laurent Freidel ◽  
Alejandro Perez
Keyword(s):  
Quantum Gravity ◽  
Symplectic Form ◽  
Direct Application ◽  
Quantum Geometry ◽  
Quantum Level ◽  
Gravitational System ◽  
Gauge Transformations ◽  
First Order ◽  
Conformal Field ◽  
First Time

We investigate the quantum geometry of a 2d surface S bounding the Cauchy slices of a 4d gravitational system. We investigate in detail for the first time the boundary symplectic current that naturally arises in the first-order formulation of general relativity in terms of the Ashtekar–Barbero connection. This current is proportional to the simplest quadratic form constructed out of the pull back to S of the triad field. We show that the would-be-gauge degrees of freedo arising from S U ( 2 ) gauge transformations plus diffeomorphisms tangent to the boundary are entirely described by the boundary 2-dimensional symplectic form, and give rise to a representation at each point of S of S L ( 2 , R ) × S U ( 2 ) . Independently of the connection with gravity, this system is very simple and rich at the quantum level, with possible connections with conformal field theory in 2d. A direct application of the quantum theory is modelling of the black horizons in quantum gravity.

scholarly journals Can Magnetic Monopoles and Massive Photons Coexist in the Framework of the Same Classical Theory?

2007 ◽  
Vol 2007 ◽  
pp. 1-14
Author(s):  
C. Cafaro ◽  
S. Capozziello ◽  
Ch. Corda ◽  
S. A. Ali
Keyword(s):  
Field Theory ◽  
Classical Theory ◽  
Magnetic Monopole ◽  
Electromagnetic Interaction ◽  
Magnetic Monopoles ◽  
Quantum Field ◽  
Finite Range ◽  
Electromagnetic Interactions ◽  
Self Consistent ◽  
Massive Photons

It is well known that one cannot construct a self-consistent quantum field theory describing the nonrelativistic electromagnetic interaction mediated by massive photons between a point-like electric charge and a magnetic monopole. We show that, indeed, this inconsistency arises in the classical theory itself. No semiclassic approximation or limiting procedure forℏ→0is used. As a result, the string attached to the monopole emerges as visible also if finite-range electromagnetic interactions are considered in classical framework.

scholarly journals COMMENTS ON HIGHER-SPIN SYMMETRIES

2009 ◽  
Vol 06 (02) ◽  
pp. 285-342 ◽  
Author(s):  
XAVIER BEKAERT
Keyword(s):  
Lie Algebra ◽  
Differential Operators ◽  
Symmetric Tensor ◽  
Weak Field ◽  
Gauge Fields ◽  
Gauge Parameter ◽  
Gauge Transformations ◽  
First Order ◽  
Gauge Symmetries ◽  
Higher Spin

The unconstrained frame-like formulation of an infinite tower of completely symmetric tensor gauge fields is reviewed and examined in the limit where the cosmological constant goes to zero. By partially fixing the gauge and solving the torsion constraints, the form of the gauge transformations in the unconstrained metric-like formulation are obtained till first order in a weak field expansion. The algebra of the corresponding gauge symmetries is shown to be equivalent, at this order and modulo (unphysical) gauge parameter redefinitions, to the Lie algebra of Hermitian differential operators on ℝn, the restriction of which to the spin-two sector is the Lie algebra of infinitesimal diffeomorphisms.

scholarly journals The Terminal Responses of the Two-Wire Line in Multiaperture Cavities Based on Electromagnetic Topology and Method of Moments

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Ying Li ◽  
Jianshu Luo ◽  
Guyan Ni
Keyword(s):  
Iterative Method ◽  
Transmission Line ◽  
Method Of Moments ◽  
Electromagnetic Interference ◽  
Electromagnetic Interaction ◽  
Numerical Results ◽  
Frequency Range ◽  
Metallic Structures ◽  
Electromagnetic Interactions ◽  
Simulation Results

A simulation technique based on electromagnetic topology (EMT) theory is proposed for analyzing electromagnetic interference (EMI) coupling through apertures onto the two-transmission line enclosed within metallic structures. The electromagnetic interactions between apertures and the external-internal interactions were treated through the topological decomposition and the multistep iterative method. Then, the load responses of the two-wire transmission line are resolved by the the Baum-Liu-Tesche (BLT) equation. The simulation results both without and with the electromagnetic interaction are presented for the frequency range from 100 MHz to 3 GHz. These numerical results obtained by two methods imply that the electromagnetic interaction cannot be simply ignored, especially for the frequency range up to 1 GHz.

scholarly journals Higher derivative fermionic field equation in the first-orderformalism

2007 ◽  
Vol 85 (8) ◽  
pp. 887-897 ◽  
Author(s):  
S I Kruglov
Keyword(s):  
Dirac Equation ◽  
Spin Projection ◽  
Electromagnetic Current ◽  
Pure Spin ◽  
Projection Operators ◽  
Third Order ◽  
First Order ◽  
Generalized Dirac Equation ◽  
Electromagnetic Interactions ◽  
Higher Derivative

The generalized Dirac equation of the third order, describing particles with spin 1/2 and three mass states, is analyzed. We obtain the first-order generalized Dirac equation in the 24-dimensional matrix form. The mass and spin projection operators are found that extract solutions of the wave equation corresponding to pure spin states of particles. The density of the electromagnetic current is obtained, and minimal and nonminimal(anomalous) electromagnetic interactions of fermions are considered by introducing three phenomenological parameters. The Hamiltonian form of the first-order equation is obtained.PACS Nos.: 03.65.Pm, 11.10.Ef; 12.10.Kt

scholarly journals Deformations of supergravity and supersymmetry anomalies

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Markus B. Fröb ◽  
Camillo Imbimbo ◽  
Nicolò Risso
Keyword(s):  
A Priori ◽  
Functional Space ◽  
Full Detail ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
First Order ◽  
Brst Operator ◽  
Minimal Supergravity ◽  
Matter Theory

Abstract We present a BRST analysis of supersymmetry anomalies of $$ \mathcal{N} $$ N = 1 supersymmetric quantum field theories with anomalous R symmetry. To this end, we consider the coupling of the matter theory to classical $$ \mathcal{N} $$ N = 1 new minimal supergravity. We point out that a supersymmetry anomaly cocycle associated to the U(1)R field does exist for this theory. It is non-trivial in the space of supergravity fields (and ghosts), but it becomes BRST-exact in the functional space that includes antifields. Equivalently, the U(1)R supersymmetry anomaly cocycle vanishes “on-shell”. It is therefore removable. However, to remove it — precisely because it is not trivial in the smaller space of fields — one needs to deform the supergravity BRST operator. This deformation is triggered, at first order in the anomaly coefficient, by a local operator S1 of ghost number 1. We give a cohomological characterization of S1 and compute it in full detail. At higher orders in the anomaly coefficient, we expect a priori that further deformations of the BRST rules are necessary.

scholarly journals Visible Light Electromagnetic Interaction of PM567 Chiral Dye for Asymmetric Photocatalysis, a First-Principles Investigation

Catalysts ◽  
2020 ◽  
Vol 10 (8) ◽  
pp. 882
Author(s):  
Yujie Dai ◽  
Chen Lu ◽  
Lin Liang ◽  
Naixing Feng ◽  
Jingang Wang
Keyword(s):  
First Principles ◽  
Transfer Reaction ◽  
Electromagnetic Interaction ◽  
Charge Transfer Reaction ◽  
Electromagnetic Interactions ◽  
Analysis Process ◽  
Catalytic Sites ◽  
Self Consistent ◽  
Induced Charge ◽  
Photocatalytic Reactions

In asymmetric photocatalytic reactions, it is necessary to study the mechanism of the asymmetric electromagnetic interaction between molecules and light. In this work, we theoretically studied the electromagnetic interactions between the light-induced charge transfer reaction and the chiral reaction of PM567 dye. We found that the chiral responses of molecules in different wavelength ranges were partially due to pyrromethene and binaphthalene. Therefore, the catalytic sites with different chirality also corresponds to the two-part groups. Through quantitative analysis, we found the entire analysis process to be complete and self-consistent.

FLAT CONNECTIONS AND INTEGRABLE SYSTEMS

1989 ◽  
Vol 03 (02) ◽  
pp. 211-233
Author(s):  
D. H. SATTINGER
Keyword(s):  
Lie Algebras ◽  
Integrable Systems ◽  
Scattering Theory ◽  
Completely Integrable Systems ◽  
Integrable Hamiltonian Systems ◽  
Flat Connections ◽  
Gauge Transformations ◽  
First Order ◽  
Completely Integrable ◽  
Completely Integrable Hamiltonian Systems

The theory of completely integrable systems based on n × n first order isospectral problems is reviewed. The topics discussed are the inverse scattering theory for n × n systems; hierarchies of completely integrable Hamiltonian systems based on semi-simple Lie algebras; flat connections and gauge transformations; and the gauge theory of Bäcklund transformations.

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