Results 21 to 30 of about 42,156 (143)
Quantum Field Theory: Where We Are
, 2006 We comment on the present status, the concepts and their limitations, and the successes and open problems of the various approaches to a relativistic quantum theory of elementary particles, with a hindsight to questions concerning quantum gravity and ...
A. Ashtekar +26 more
core +1 more source
Quantum Field Theory and Differential Geometry
, 2008 We introduce the historical development and physical idea behind topological Yang-Mills theory and explain how a physical framework describing subatomic physics can be used as a tool to study differential geometry.
Freedman M. +5 more
core +1 more source
Derived Algebraic Geometry and Deformation Quantization [PDF]
, 2014 This is a report on recent progress concerning the interactions between derived algebraic geometry and deformation quantization. We present the notion of derived algebraic stacks, of shifted symplectic and Poisson structures, as well as the construction ...
Toen, Bertrand
core
Brane and string field structure of elementary particles [PDF]
, 2006 The two quantizations of QFT,as well as the attempt of unifying it with general relativity,lead us to consider that the internal structure of an elementary fermion must be twofold and composed of three embedded internal (bi)structures which are vacuum ...
Pierre, Christian
core +2 more sources
Operators and vacua of N=1 field theories
, 2009 We review the idea of Hilbert Series as a tool to study the moduli space and the BPS operators of four dimensional N=1 supersymmetric field theories.
Forcella, Davide
core +1 more source
Geometry of word equations in simple algebraic groups over special fields
, 2018 This paper contains a survey of recent developments in investigation of word equations in simple matrix groups and polynomial equations in simple (associative and Lie) matrix algebras along with some new results on the image of word maps on algebraic ...
Gordeev, Nikolai +2 more
core +1 more source
Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
wiley +1 more source
Computing Algebraic Matroids [PDF]
, 2014 An affine variety induces the structure of an algebraic matroid on the set of coordinates of the ambient space. The matroid has two natural decorations: a circuit polynomial attached to each circuit, and the degree of the projection map to each base ...
Rosen, Zvi
core
Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
A comparison between obstructions to local-global principles over semiglobal fields [PDF]
, 2020 We consider local-global principles for rational points on varieties, in particular torsors, over one-variable function fields over complete discretely valued fields.
Harbater, David +3 more
core +1 more source