Results 51 to 60 of about 200,382 (172)

Quantum noncommutative ABJM theory: first steps

Journal of High Energy Physics, 2018
We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 6 supersymmetric. For the U(1) κ × U(1)−κ case, we compute all one-loop 1PI two and three point functions in
Carmelo P. Martin, Josip Trampetic, Jiangyang You   +2 more
doaj   +1 more source

Abel Prize 2009 as a necessitation to discussion on geometry, or physicist versus geometers [PDF]

arXiv, 2009
Contemporary geometers do not acknowledge nonaxomatizable geometries. This fact means that our knowledge of geometry is poor. A perfect knowledge of geometry is important for "consumers of geometry" (physicists dealing with geometry of microcosm), because poor knowledge of geometry forces physicists to refuse from the orthodox geometrical paradigm and ...
arxiv  

Mori geometry meets Cartan geometry: Varieties of minimal rational tangents [PDF]

arXiv, 2015
We give an introduction to the theory of varieties of minimal rational tangents, emphasizing its aspect as a fusion of algebraic geometry and differential geometry, more specifically, a fusion of Mori geometry of minimal rational curves and Cartan geometry of cone structures.
arxiv  

Nonlocal Lagrangian fields and the second Noether theorem. Non-commutative U(1) gauge theory

Journal of High Energy Physics
This article focuses on three main contributions. Firstly, we provide an in-depth overview of the nonlocal Lagrangian formalism. Secondly, we introduce an extended version of the second Noether’s theorem tailored for nonlocal Lagrangians.
Carlos Heredia, Josep Llosa
doaj   +1 more source

General Geometry and Geometry of Electromagnetism [PDF]

arXiv, 2002
It is shown that Electromagnetism creates geometry different from Riemannian geometry. General geometry including Riemannian geometry as a special case is constructed. It is proven that the most simplest special case of General Geometry is geometry underlying Electromagnetism.
arxiv  

Differential-geometric characterizations of complete intersections [PDF]

arXiv, 1994
The exposition has been significantly altered, hopefully improved.
arxiv  

Metric SYZ conjecture and non-archimedean geometry [PDF]

arXiv, 2020
We show that assuming a conjecture in non-archimedean geometry, then a metric formulation of the SYZ conjecture can be proved in large generality.
arxiv  

T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory

Journal of High Energy Physics, 2018
We first perform bosonic T-duality transformation on one of the marginal TsT (T-duality, shift, T-duality)-deformed AdS 5×S 5 spacetime, which corresponds to 4D N=4 $$ \mathcal{N}=4 $$ non-commutative super Yang-Mills theory (NCSYM).
Song He, Hongfei Shu
doaj   +1 more source

Noncommutative spectral geometry of Riemannian foliations [PDF]

arXiv, 1997
We construct spectral triples in a sense of noncommutative differential geometry, associated with a Riemannian foliation on a compact manifold, and describe its dimension spectrum.
arxiv  

Rigidity and Flexibility in Poisson Geometry [PDF]

arXiv, 2005
We discuss several rigidity and flexibility phenomena in the context of Poisson geometry.
arxiv