Results 21 to 30 of about 5,842 (96)
Real models for the framed little n$n$‐disks operads
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley +1 more source
Wigner Oscillators, Twisted Hopf Algebras and Second Quantization
By correctly identifying the role of central extension in the centrally extended Heisenberg algebra h, we show that it is indeed possible to construct a Hopf algebraic structure on the corresponding enveloping algebra U(h) and eventually deform it ...
B. Chakraborty +4 more
core +2 more sources
Holomorphic field theories and higher algebra
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Supersymmetric vertex algebras
We define and study the structure of SUSY Lie conformal and vertex algebras.
A. Malikov +13 more
core +2 more sources
Functorial constructions related to double Poisson vertex algebras
Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
wiley +1 more source
The stratigraphic biography of an archaeological site. Timing depositional events
Abstract The stratigraphic sequence of an archaeological site constitutes its biography, which details what was deposited, when it was deposited, and how the deposition occurred. However, many current methods of recording archaeological stratigraphy do not allow for a full reconstruction of a site's biography.
Vasiliki Andreaki, Juan Antonio Barceló
wiley +1 more source
Quantum and Braided Lie Algebras
We introduce the notion of a braided Lie algebra consisting of a finite-dimensional vector space $\CL$ equipped with a bracket $[\ ,\ ]:\CL\tens\CL\to \CL$ and a Yang-Baxter operator $\Psi:\CL\tens\CL\to \CL\tens\CL$ obeying some axioms.
Brzeziński +22 more
core +2 more sources
Computation of Time‐Resolved Nonlinear Electronic Spectra From Classical Trajectories
Stimulated emission contribution to the two‐dimensional electronic spectrum of pyrazine at a waiting time of 60 fs as a function of the excitation and emission frequencies. ABSTRACT A variety of time‐resolved spectroscopic techniques employing femtosecond pump and probe pulses are nowadays widely used to unravel the fundamental mechanisms of ...
Maxim F. Gelin +3 more
wiley +1 more source
AI Safety for Physical Infrastructures: A Collaborative and Interdisciplinary Approach
ABSTRACT Where AI systems are increasingly and rapidly impacting engineering, science, and our daily lives, progress in AI safety for physical infrastructures is lagging. Most of the research and educational programs on AI safety do not consider that, in today's connected world, safety and security in physical infrastructures are increasingly entangled.
Fariborz Farahmand, Richard W. Neu
wiley +1 more source
Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations
Abstract We show that the hyper‐Kähler varieties of OG10‐type constructed by Laza–Saccà–Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the Lagrangian fibration satisfies
Giuseppe Ancona +3 more
wiley +1 more source

