Results 51 to 60 of about 296 (136)
A shorter path to celestial currents
Here we consider what happens when we lift a codimension-1 slice of the celestial sphere to a codimension-1 slice of the bulk spacetime in a manner that respects our ability to quotient by the null generators of I ± to get to our codimension-2 hologram ...
Sabrina Pasterski
doaj +1 more source
The geometry and arithmetic of bielliptic Picard curves
Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley +1 more source
In this work, we perform Lie group analysis on a fifth-order integrable nonlinear partial differential equation, which was recently introduced in the literature and contains two dispersive terms.
Simbanefayi Innocent +1 more
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Galileo's ship and the relativity principle
Abstract It is widely acknowledged that the Galilean Relativity Principle, according to which the laws of classical systems are the same in all inertial frames in relative motion, has played an important role in the development of modern physics. It is also commonly believed that this principle holds the key to answering why, for example, we do not ...
Sebastián Murgueitio Ramírez
wiley +1 more source
Stochastic Multisymplectic PDEs and Their Structure‐Preserving Numerical Methods
ABSTRACT We construct stochastic multisymplectic systems by considering a stochastic extension to the variational formulation of multisymplectic partial differential equations proposed in Hydon [Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461 (2005): 1627–1637].
Ruiao Hu, Linyu Peng
wiley +1 more source
A finite‐dimensional counterexample for Arveson's hyperrigidity conjecture
Abstract We construct an operator system generated by four operators that is not hyperrigid, although all restrictions of irreducible representations have the unique extension property.
Marcel Scherer
wiley +1 more source
Non-local conserved currents and continuous non-invertible symmetries
We embark on a systematic study of continuous non-invertible symmetries, focusing on 1+1d CFTs. We describe a generalized version of Noether’s theorem, where continuous non-invertible symmetries are associated to non-local conserved currents: point-like ...
Diego Delmastro +2 more
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A switchable and rotatable chiral nematic liquid crystal diffraction grating is demonstrated, driven by low voltages at room temperature. Incorporation of the dimer CB7CB induces an asymmetric tilt via the flexoelectro‐optic effect, generating torque that enables uniform 360° in‐plane rotation of both the grating and its far‐field diffraction pattern ...
Qihao Han +4 more
wiley +1 more source
Fractional Time-Scales Noether’s Theorem for Non-Standard Birkhoffian System
In this work, Noether symmetries and conserved quantities of a non-standard Birkhoffian system based on the Caputo Δ Pfaff–Birkhoff principle on time scales are studied.
Zhenyu Wu, Chuanjing Song
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On the conservation of energy: Noether's theorem revisited
This paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal argument supporting the law of conservation of energy in physical systems.
Jean-Paul Chavas
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