Results 61 to 70 of about 115,374 (223)
Noncommutative Cohomological Field Theory and GMS soliton [PDF]
We show that it is possible to construct a quantum field theory that is invariant under the translation of the noncommutative parameter $\theta_{\mu\nu}$. This is realized in a noncommutative cohomological field theory.
Ishikawa, Tomomi+2 more
core +2 more sources
Quantum Kaluza-Klein theory with M 2(ℂ)
Following steps analogous to classical Kaluza-Klein theory, we solve for the quantum Riemannian geometry on C ∞ (M) ⊗ M 2(ℂ) in terms of classical Riemannian geometry on a smooth manifold M , a finite quantum geometry on the algebra M 2(ℂ) of 2 × 2 ...
Chengcheng Liu, Shahn Majid
doaj +1 more source
Noncommutative field theory and composite Fermi liquids in some quantum Hall systems [PDF]
Composite Fermi liquid metals arise at certain special filling fractions in the quantum Hall regime and play an important role as parent states of gapped states with quantized Hall response. They have been successfully described by the Halperin-Lee-Read (
Z. Dong, T. Senthil
semanticscholar +1 more source
Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators ...
Rabha W. Ibrahim+2 more
doaj +1 more source
Holographic complexity and noncommutative gauge theory
We study the holographic complexity of noncommutative field theories. The four-dimensional N = 4 $$ \mathcal{N}=4 $$ noncommutative super Yang-Mills theory with Moyal algebra along two of the spatial directions has a well known holographic dual as a type
Josiah Couch+3 more
doaj +1 more source
Weak equivalence principle in quantum space
Owing to the development of String Theory and Quantum Gravity, studies of quantized spaces described by deformed commutation relations for operators of coordinates and operators of momenta have received much attention.
Kh. P. Gnatenko, V. M. Tkachuk
doaj +1 more source
Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry
Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj +1 more source
T-Minkowski noncommutative spacetimes II: classical field theory [PDF]
This paper is the second part of a series that develops the mathematical framework necessary for studying field theories on “T-Minkowski” noncommutative spacetimes. These spacetimes constitute a class of noncommutative geometries, introduced in Part I,
F. Mercati
semanticscholar +1 more source
Finite quantum field theory in noncommutative geometry [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C. Klimcik, P. Presnajder, Harald Grosse
openaire +3 more sources
The Geometry of Noncommutative Spacetimes
We review the concept of ‘noncommutative spacetime’ approached from an operational stand-point and explain how to endow it with suitable geometrical structures. The latter involves i.a.
Michał Eckstein
doaj +1 more source