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Nonlinear Realization of Spacetime Symmetry
The first step towards an effective field theory for spontaneously broken spacetime symmetry is the construction of the nonlinear realization of the... -
Locally Equivalent Symmetries
The first obstacle to the application of the effective field theory program to spacetime symmetries is the identification of independent fluctuations... -
Complete classification of static Bertotti–Robinson spacetime and its physical significance
The Bertotti–Robinson (BR) spacetime is an important class of spherically symmetric spacetime. It is a conformally flat and static solution of the...
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11D Supergravity and Hidden Symmetries
We review the structure of maximal D = 11 and D = 10 supergravities. Upon dimensional reduction, these theories give rise to the unique maximal... -
Broken Spacetime Symmetry in Quantum Matter
This chapter constitutes the core of the part of the book devoted to spontaneously broken spacetime symmetry. It builds a framework for constructing... -
The Four–Dimensional Spacetime
Physics theories are made by building mathematical models that correspond to physical systems. General Relativity, the physical theory of... -
Projective spacetime symmetry of spacetime crystals
Wigner’s seminal work on the Poincaré group revealed one of the fundamental principles of quantum theory: symmetry groups are projectively...
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Hidden conformal symmetries in Kerr–de Sitter spacetime revisited
We study the holographic picture for the Kerr–de Sitter spacetime with multiple horizons. Motivated by the studies of hidden conformal symmetry that...
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Non-invertible duality interfaces in field theories with exotic symmetries
In recent years, the concept of global symmetry has generalized considerably. Two dramatic examples of this generalization are the exotic symmetries...
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On the symmetries of singular limits of spacetimes
We consider spacetime metrics with a given (but quite generic) dependence on a dimensionful parameter such that in the 0 and ∞ limits of that...
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Disconnected 0-form and 2-group symmetries
Quantum field theories can have both continuous and finite 0-form symmetries. We study global symmetry structures that arise when both kinds of...
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4D supersymmetric gauge theories of spacetime translations
The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries...
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Soft theorems in de Sitter spacetime
In this paper, we derive a soft photon theorem and a soft gluon theorem in the de Sitter spacetime from the Ward identity of the near cosmological...
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S-matrix path integral approach to symmetries and soft theorems
We explore a formulation of the S-matrix in terms of the path integral with specified asymptotic data, as originally proposed by Arefeva, Faddeev,...
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Fundamental decoherence from quantum spacetime
Understanding whether quantum gravitational effects can lead to a fundamental decoherence, affecting all systems regardless of their environment, is...
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Broken Spacetime Symmetry in Classical Matter
The most common type of a low-energy collective mode occurring in nature is a classical matter wave, usually manifested as sound. This features many... -
Field Diffeomorphisms and Symmetries
The fifth chapter deals broadly with the role of symmetries in renormalization theory, and specifically with the invariance of scalar quantum fields... -
Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ-Minkowski
We discuss the quantum Poincaré symmetries of the ϱ -Minkowski spacetime, a space characterised by an angular form of noncommutativity. We show that...
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Quantum symmetries in 2+1 dimensions: Carroll, (a)dS-Carroll, Galilei and (a)dS-Galilei
There is a surge of research devoted to the formalism and physical manifestations of non-Lorentzian kinematical symmetries, which focuses especially...
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Continuous generalized symmetries in three dimensions
We present a class of three-dimensional quantum field theories whose ordinary global symmetries mix with higher-form symmetries to form a continuous...