Results 31 to 40 of about 236,452 (310)

4d higgsed network calculus and elliptic DIM algebra

Nuclear Physics B, 2022
Supersymmetric gauge theories of certain class possess a large hidden nonperturbative symmetry described by the Ding-Iohara-Miki (DIM) algebra which can be used to compute their partition functions and correlators very efficiently.
Mohamed Ghoneim, Can Kozçaz, Kerem Kurşun, Yegor Zenkevich   +3 more
doaj   +1 more source

Electric-Magnetic duality and the "Loop Representation" in Abelian Gauge Theories [PDF]

, 1996
Abelian Gauge Theories are quantized in a geometric representation that generalizes the Loop Representation and treates electric and magnetic operators on the same footing.
Leal, Lorenzo
core   +2 more sources

Algebraic Geometric Codes [PDF]

, 1990
The most important development in the theory of error-correcting codes in recent years is the introduction of methods from algebraic geometry to construct good codes. The ideas are based on generalizations of so-called Goppa codes. The (by now) “classical” Goppa codes (1970, cf.[6]) were already a great improvement on codes known at that time.
openaire   +2 more sources

A use of geometric calculus to reduce Berezin integral to the limit of a Riemann sum

, 2019
Berezin integration of functions of anticommuting Grassmann variables is usually seen as a formal operation, sometimes even defined via differentiation.
Scanlon, Thomas, Sverdlov, Roman
core   +1 more source

Star Products and Geometric Algebra

, 2004
The formalism of geometric algebra can be described as deformed super analysis. The deformation is done with a fermionic star product, that arises from deformation quantization of pseudoclassical mechanics.
Allen C. Hirshfeld, Baker, Bayen, Berezin, Demircioglu, Doran, Gracia-Bondia, Hamilton, Hestenes, Hestenes, Hestenes, Hestenes, Hestenes, Hirshfeld, Hirshfeld, Kustaanheimo, Lasenby, Peter Henselder, Sakurai, Stiefel, Thomas Spernat   +20 more
core   +1 more source

Geometric Vertex Algebras

, 2020
Stronger associativity axiom.
openaire   +3 more sources

Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra

Mathematics
The Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
doaj   +1 more source

Algebra of Complex Vectors and Applications in Electromagnetic Theory and Quantum Mechanics

Mathematics, 2015
A complex vector is a sum of a vector and a bivector and forms a natural extension of a vector. The complex vectors have certain special geometric properties and considered as algebraic entities. These represent rotations along with specified orientation
Kundeti Muralidhar
doaj   +1 more source

Geometric Algebra Techniques for General Relativity

, 2003
Geometric (Clifford) algebra provides an efficient mathematical language for describing physical problems. We formulate general relativity in this language.
Arthur Kosowsky, Baylis, Carroll, Chandrasekhar, Choquet-Bruhat, Gull, Heinicke, Hestenes, Hestenes, Hestenes, Hestenes, Hestenes, Hestenes, Janis, Jones, Kramer, Lasenby, Lasenby, Lounesto, Martel, Matthew R. Francis, Misner, Nakahara, Newman, Penrose, Riesz, Schiffer, Snygg, Sobczyk, Sobczyk, Sobczyk, Sobczyk, Szekeres, Wald   +33 more
core   +1 more source

Stress‐Normalized Sensitivity as a Comparative Benchmark for Intrinsically Piezoresistive Nanocomposite Materials in Wearable Electronics

Advanced Materials Technologies, EarlyView.
A stress‐normalised sensitivity metric (S = G/Y) is introduced as a materials‐level benchmark for intrinsically piezoresistive nanocomposites. By decoupling electromechanical response (G) from stiffness (Y), the framework enables direct comparison across diverse systems and clarifies design trade‐offs for wearable sensors.
Conor S. Boland
wiley   +1 more source