Results 71 to 80 of about 200,382 (172)

Bootstrapping non-commutative gauge theories from L∞ algebras

Journal of High Energy Physics, 2018
Non-commutative gauge theories with a non-constant NC-parameter are investigated. As a novel approach, we propose that such theories should admit an underlying L∞ algebra, that governs not only the action of the symmetries but also the dynamics of the ...
Ralph Blumenhagen, Ilka Brunner, Vladislav Kupriyanov, Dieter Lüst   +3 more
doaj   +1 more source

Rationality in Differential Algebraic Geometry [PDF]

arXiv, 2014
Parametric Cartan theory of exterior differential systems, and explicit cohomology of projective manifolds reveal united rationality features of differential algebraic geometry.
arxiv  

Hessian Geometry and Phase Change of Gibbons-Hawking Metrics [PDF]

arXiv, 2018
We study the Hessian geometry of toric Gibbons-Hawking metrics and their phase change phenomena via the images of their moment maps.
arxiv  

On Non-Commutative Multi-Rings with Involution

Mathematics
The primary motivation for this work is to develop the concept of Marshall’s quotient applicable to non-commutative multi-rings endowed with involution, expanding upon the main ideas of the classical case—commutative and without involution—presented in ...
Kaique M. A. Roberto, Kaique R. P. Santos, Hugo Luiz Mariano   +2 more
doaj   +1 more source

A new view of combinatorial maps by Smarandache's notion [PDF]

arXiv, 2005
On a geometrical view, the conception of map geometries are introduced, which is a nice model of the Smarandache geometries, also new kind of and more general intrinsic geometry of surface. Results convinced one that map geometries are Smarandache geometries and their enumertion are obtained.
arxiv  

Grassmannians of lines defined in the geometry of a pseudo-polarity [PDF]

arXiv, 2012
The regular point-line geometry with respect to a pseudo-polarity is introduced. It is weaker than the underlying metric-projective geometry. The automorphism group of this geometry is determined. This geometry can be also expressed as the geometry of regular lines and planes.
arxiv  

SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds.
Kazuki Hasebe
doaj   +1 more source

On the UV/IR mixing of Lie algebra-type noncommutatitive ϕ 4-theories

Journal of High Energy Physics
We show that a UV divergence of the propagator integral implies the divergences of the UV/IR mixing in the two-point function at one-loop for a ϕ 4-theory on a generic Lie algebra-type noncommutative space-time.
Kilian Hersent
doaj   +1 more source

Smarandache Multi-Space Theory(III)--Map geometries and pseudo-plane geometries [PDF]

arXiv, 2006
A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This is the third part on multi-spaces concertrating on Smarandache geometries, including those of map ...
arxiv  

Stringy Geometry and Topology of Orbifolds [PDF]

arXiv, 2000
This is a survey article on the recent development of "stringy geometry and topology of orbifolds", a new subject of mathematics motivated by orbifold string theory.
arxiv