Gauge transformations of electron group functions

1996 ◽  
Vol 104 (23) ◽  
pp. 9461-9472 ◽  
Author(s):  
Boris P. Zapol
1992 ◽  
Vol 41 (4) ◽  
pp. 581-590 ◽  
Author(s):  
Boris P. Zapol ◽  
Vladimir E. Puchin

1974 ◽  
Vol 15 (3) ◽  
pp. 447-451
Author(s):  
I. Ts. Lyast ◽  
Yu. M. Yusim

2009 ◽  
Vol 113 (42) ◽  
pp. 11406-11415 ◽  
Author(s):  
A. L. Tchougréeff ◽  
A. M. Tokmachev ◽  
R. Dronskowski

Author(s):  
Peter Mann

This chapter discusses canonical transformations and gauge transformations and is divided into three sections. In the first section, canonical coordinate transformations are introduced to the reader through generating functions as the extension of point transformations used in Lagrangian mechanics, with the harmonic oscillator being used as an example of a canonical transformation. In the second section, gauge theory is discussed in the canonical framework and compared to the Lagrangian case. Action-angle variables, direct conditions, symplectomorphisms, holomorphic variables, integrable systems and first integrals are examined. The third section looks at infinitesimal canonical transformations resulting from functions on phase space. Ostrogradsky equations in the canonical setting are also detailed.


2018 ◽  
Vol 108 (12) ◽  
pp. 2589-2626 ◽  
Author(s):  
Giovanni Landi ◽  
Pierre Martinetti

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Machiko Hatsuda ◽  
Shin Sasaki ◽  
Masaya Yata

Abstract We study the current algebras of the NS5-branes, the Kaluza-Klein (KK) five-branes and the exotic $$ {5}_2^2 $$ 5 2 2 -branes in type IIA/IIB superstring theories. Their worldvolume theories are governed by the six-dimensional $$ \mathcal{N} $$ N = (2, 0) tensor and the $$ \mathcal{N} $$ N = (1, 1) vector multiplets. We show that the current algebras are determined through the S- and T-dualities. The algebras of the $$ \mathcal{N} $$ N = (2, 0) theories are characterized by the Dirac bracket caused by the self-dual gauge field in the five-brane worldvolumes, while those of the $$ \mathcal{N} $$ N = (1, 1) theories are given by the Poisson bracket. By the use of these algebras, we examine extended spaces in terms of tensor coordinates which are the representation of ten-dimensional supersymmetry. We also examine the transition rules of the currents in the type IIA/IIB supersymmetry algebras in ten dimensions. Based on the algebras, we write down the section conditions in the extended spaces and gauge transformations of the supergravity fields.


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