Conformally invariant nonlinear electrodynamic actions and its non-abelian extensions

被引：0

作者：

Cirilo-Lombardo, Diego Julio ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, MV Keldysh Inst, Fed Res Ctr, Inst Appl Math, Miusskaya Sq 4, Moscow 125047, Russia

[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, Inst Fis Interdisciplinaria & Aplicada INFINA, Buenos Aires, Argentina

[3] Univ Buenos Aires, CONICET, Inst Fis Interdisciplinaria & Aplicada INFINA, Buenos Aires, Argentina

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2023年

关键词：

Conformal models; non-abelian electrodynamics; geometry and symmetries;

D O I：

10.1142/S0219887823502389

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, formal theoretical aspects concerning conformally invariant functional actions of electrodynamics are presented and discussed. In particular, the origin of the conformal and duality invariant Lagrangians of [I. Bandos et al., J. High Energy Phys. 10 (2021) 031; I. Bandos, K. Lechner, D. Sorokin and P. Townsend, Phys. Rev. D 102 (2020) 121703] (e.g. ModMax) and also Born-Infeld types are analyzed being its non-abelian counterpart presented and discussed explicitly for the gauge group SU(2). Implications on the properties of the gravitational field are briefly discussed by means of new symmetries of the field equations.

引用

页数：10

共 50 条

[21] Density of monodromy actions on non-abelian cohomology
Katzarkov, L
Pantev, T
Simpson, C
ADVANCES IN MATHEMATICS, 2003, 179 (02) : 155 - 204
[22] On the dynamics of generic non-Abelian free actions
Julio C. Rebelo
Bulletin of the Brazilian Mathematical Society, 2004, 35 : 211 - 251
[23] On the dynamics of generic non-Abelian free actions
Rebelo, JC
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2004, 35 (02): : 211 - 251
[24] THE ABELIAN MONOPOLE FERMION SYSTEM AND ITS SELF-ADJOINT EXTENSIONS AS A LIMIT OF A NON-ABELIAN SYSTEM
DHOKER, E
FARHI, E
PHYSICS LETTERS B, 1983, 127 (05) : 360 - 364
[25] Nonlinear/noncommutative non-Abelian monopoles
Hashimoto, K
PHYSICAL REVIEW D, 2002, 65 (06)
[26] On Non-Abelian Extensions of 3-Lie Algebras
Song, Li-Na
Makhlouf, Abdenacer
Tang, Rong
COMMUNICATIONS IN THEORETICAL PHYSICS, 2018, 69 (04) : 347 - 356
[27] Explicit small heights in infinite non-abelian extensions
Frey, Linda
ACTA ARITHMETICA, 2021, 199 (02) : 111 - 133
[28] ERGODIC MEASURES FOR NON-ABELIAN COMPACT GROUP EXTENSIONS
KEYNES, HB
NEWTON, D
COMPOSITIO MATHEMATICA, 1976, 32 (01) : 53 - 70
[29] SOME NON-ABELIAN EXTENSIONS OF COMPLETELY DIVISIBLE GROUPS
HAIMO, F
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 5 (01) : 25 - 28
[30] Non-abelian extensions of Lie 2-algebras
CHEN ShaoHan 1
2 Department of Mathematics
Science China(Mathematics), 2012, 55 (08) : 1654 - 1667

← 1 2 3 4 5 →