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Charge transport, information scrambling and quantum operator-coherence in a many-body system with U(1) symmetry
In this work, we derive an exact hydrodynamical description for the coupled, charge and operator dynamics, in a quantum many-body system with U(1)...
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Celestial operator product expansions and w1+∞ symmetry for all spins
The operator product expansion of massless celestial primary operators of arbitrary spin is investigated. Poincaré symmetry is found to imply a set...
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Spontaneous Symmetry Breaking
The roots of the modern understanding of symmetries in physics can be traced to the work of Sophus Lie on transformations of differential equations...
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Symmetry TFT for subsystem symmetry
We generalize the idea of symmetry topological field theory (SymTFT) for subsystem symmetry. We propose the 2-foliated BF theory with level N in (3 +...
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Symmetry breaking/symmetry preserving circuits and symmetry restoration on quantum computers
We discuss here some aspects related to the symmetries of a quantum many-body problem when trying to treat it on a quantum computer. Several features...
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Corner Symmetry and Quantum Geometry
By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides us with a rich algebra of boundary charges that generate...
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Bootstrap** the effect of the twist operator in the D1D5 CFT
In the D1D5 CFT the twist operator of order 2 can twist together two copies in the untwisted sector into a single joined copy in the twisted sector....
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Symmetry Restoration Methods
Symmetry techniques based on group theory play a prominent role in the analysis of nuclear phenomena and in particular in the understanding of...
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Symmetry and Conservation Laws
This chapter introduces the general concept of symmetry in both classical and quantum physics. The part devoted to classical physics stresses the...
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Symmetry group at future null infinity III: Gravitational theory
We reduce the gravitational theory in an asymptotically flat spacetime to future null infinity. We compute the Poincaré flux operators at future null...
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Yukawa-Lorentz symmetry in non-Hermitian Dirac materials
Lorentz space–time symmetry represents a unifying feature of the fundamental forces, typically manifest at sufficiently high energies, while in...
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Spontaneous Symmetry Breaking
It may happen that the symmetry in the Lagrangian is broken for some reason and is not apparent. This is called a broken or hidden symmetry. In this...
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Symmetry-resolved modular correlation functions in free fermionic theories
As a new ingredient for analyzing the fine structure of entanglement, we study the symmetry resolution of the modular flow of U(1)-invariant...
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Runge–Lenz Operator in the Momentum Space
The fundamental quantum Coulomb problem in the momentum space is considered. A differential equation with SO (4) symmetry has been obtained in the...
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Six-dimensional correlators from a five-dimensional operator product expansion
In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an SU(1, 3) × U(1) spacetime...
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Emergent Relativistic Symmetry
The relativistic symmetry of Minkowski spacetime which we discussed in the previous chapter is usually used to formulate fundamental theories of the...
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BRST BMS4 symmetry and its cocycles from horizontality conditions
The BRST structure of the extended Bondi-Metzner-Sachs symmetry group of asymptotically flat manifolds is investigated using the recently introduced...
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On infinite symmetry algebras in Yang-Mills theory
Similar to gravity, an infinite tower of symmetries generated by higher-spin charges has been identified in Yang-Mills theory by studying collinear...
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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...
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3 The Symmetry Actions and Their Representations
This chapter is devoted to the study of the homomorphisms $G \ni...