GAUGE-INVARIANT GENERALIZATION OF FIELD THEORIES WITH ASYMMETRIC FUNDAMENTAL TENSOR (II)

1958 ◽  
Vol 9 (1) ◽  
pp. 257-264 ◽  
Author(s):  
H. A. BUCHDAHL
Keyword(s):  
Field Theories ◽  
Gauge Invariant ◽  
Fundamental Tensor

scholarly journals A master exceptional field theory

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Guillaume Bossard ◽  
Axel Kleinschmidt ◽  
Ergin Sezgin
Keyword(s):  
Field Theory ◽  
Gauge Invariance ◽  
Sigma Model ◽  
Linear Equations ◽  
Field Theories ◽  
Gauge Invariant ◽  
Non Linear ◽  
Non Linear Equations

Abstract We construct a pseudo-Lagrangian that is invariant under rigid E11 and transforms as a density under E11 generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on E11 exceptional field theory and the inclusion of constrained fields that transform in an indecomposable E11-representation together with the E11 coset fields. We show that, in combination with gauge-invariant and E11-invariant duality equations, this pseudo-Lagrangian reduces to the bosonic sector of non-linear eleven-dimensional supergravity for one choice of solution to the section condi- tion. For another choice, we reobtain the E8 exceptional field theory and conjecture that our pseudo-Lagrangian and duality equations produce all exceptional field theories with maximal supersymmetry in any dimension. We also describe how the theory entails non-linear equations for higher dual fields, including the dual graviton in eleven dimensions. Furthermore, we speculate on the relation to the E10 sigma model.

Combined supersymmetric and gauge-invariant field theories

1975 ◽  
Vol 12 (8) ◽  
pp. 2286-2297 ◽  
Author(s):  
Bernard de Wit ◽  
Daniel Z. Freedman
Keyword(s):  
Field Theories ◽  
Gauge Invariant

scholarly journals Duality and gauge invariance of non-commutative spacetime Podolsky electromagnetic theory

2017 ◽  
Vol 32 (03) ◽  
pp. 1750019 ◽  
Author(s):  
Everton M. C. Abreu ◽  
Rafael L. Fernandes ◽  
Albert C. R. Mendes ◽  
Jorge Ananias Neto ◽  
Mario Jr. Neves
Keyword(s):  
Gauge Transformation ◽  
Gauge Invariance ◽  
Electromagnetic Theory ◽  
Physical Models ◽  
Field Theories ◽  
Invariance Property ◽  
Gauge Invariant ◽  
Invariant Action ◽  
Original Action ◽  
Higher Derivative

The interest in higher derivative field theories has its origin mainly in their influence concerning the renormalization properties of physical models and to remove ultraviolet divergences. In this paper, we have introduced the non-commutative (NC) version of the Podolsky theory and we investigated the effect of the non-commutativity over its original gauge invariance property. We have demonstrated precisely that the non-commutativity spoiled the primary gauge invariance of the original action under this primary gauge transformation. After that we have used the Noether dualization technique to obtain a dual and gauge invariant action. We have demonstrated that through the introduction of a Stueckelberg field in this NC model, we can also recover the primary gauge invariance. In this way, we have accomplished a comparison between both methods.

Covariant quantization of gauge-invariant string field theories

1986 ◽  
Vol 67 (2) ◽  
pp. 521-524 ◽  
Author(s):  
I. Ya. Aref'eva ◽  
I. V. Volovich
Keyword(s):  
Field Theories ◽  
Covariant Quantization ◽  
Gauge Invariant
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