Duality, Generalized Global Symmetries and Jet Space Isometries

  title={Duality, Generalized Global Symmetries and Jet Space Isometries},
  author={Athanasios Chatzistavrakidis and Georgios Karagiannis and Arash Ranjbar},
We revisit universal features of duality in linear and nonlinear relativistic scalar and Abelian 1-form theories with single or multiple fields, which exhibit ordinary or generalized global symmetries. We show that such global symmetries can be interpreted as generalized Killing isometries on a suitable, possibly graded, target space of fields or its jet space when the theory contains higher derivatives. This is realized via a generalized sigma model perspective motivated from the fact that… 

Introductory Notes on Non‐linear Electrodynamics and its Applications

In 1933‐1934 Born and Infeld constructed the first non‐linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler

Instances of Higher Geometry in Field Theory

Generalisations of geometry have emerged in various forms in the study of field theory and quantization. This mini-review focuses on the role of higher geometry in three selected physical



Matter couplings and equivalence principles for soft scalars

Scalar effective field theories with enhanced soft limits behave in many ways like gauge theories and gravity. In particular, symmetries fix the structure of interactions and the tree-level S -matrix

Notes on generalized global symmetries in QFT

It was recently argued that quantum field theories possess one‐form and higher‐form symmetries, labelled ‘generalized global symmetries.’ In this paper, we describe how those higher‐form symmetries

Generalized global symmetries

A bstractA q-form global symmetry is a global symmetry for which the charged operators are of space-time dimension q; e.g. Wilson lines, surface defects, etc., and the charged excitations have q

Duality and Higher Buscher Rules in p‐Form Gauge Theory and Linearized Gravity

We perform an in‐depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, p‐form gauge fields, linearized gravitons or (p, 1) mixed symmetry

Symmetries and Strings in Field Theory and Gravity

We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of Zp gauge theories shows

Dualities in the classical supergravity limits: Dualizations, dualities and a detour via (4k+2)-dimensions

Duality symmetries of supergravity theories are powerful tools to restrict the number of possible actions, to link different dimensions and number of supersymmetries and might help to control

Duality Rotations for Interacting Fields

Exploring 2-group global symmetries

A bstractWe analyze four-dimensional quantum field theories with continuous 2-group global symmetries. At the level of their charges, such symmetries are identical to a product of continuous flavor

A Unified Approach to Standard and Exotic Dualizations Through Graded Geometry

Gauge theories can often be formulated in different but physically equivalent ways, a concept referred to as duality. Using a formalism based on graded geometry, we provide a unified treatment of all