Results 21 to 30 of about 43,760 (203)

Generalized Fuzzy Torus and its Modular Properties [PDF]

, 2013
We consider a generalization of the basic fuzzy torus to a fuzzy torus with non-trivial modular parameter, based on a finite matrix algebra. We discuss the modular properties of this fuzzy torus, and compute the matrix Laplacian for a scalar field.
Schreivogl, Paul, Steinacker, Harold
core   +5 more sources

Fixed Point Theorems in Neutrosophic Fuzzy Metric Space and a Characterization to its Completeness [PDF]

Neutrosophic Sets and Systems
The present research work aims to establish some basic conventional fixed point theorems such as the Banach fixed point theorem, Edelstein fixed point theorem and Kannan fixed point theorem, for a recently introduced topological space, known as the ...
Samriddhi Ghosh, Ramakant Bhardwaj, Satyendra Narayan , Sonam Sonam   +3 more
doaj   +1 more source

2D fuzzy Anti-de Sitter space from matrix models [PDF]

, 2013
We study the fuzzy hyperboloids AdS^2 and dS^2 as brane solutions in matrix models. The unitary representations of SO(2,1) required for quantum field theory are identified, and explicit formulae for their realization in terms of fuzzy wavefunctions are ...
Jurman, Danijel, Steinacker, Harold
core   +2 more sources

Heat kernel expansion and induced action for matrix models [PDF]

, 2011
In this proceeding note, I review some recent results concerning the quantum effective action of certain matrix models, i.e. the supersymmetric IKKT model, in the context of emergent gravity. The absence of pathological UV/IR mixing is discussed, as well
Alekseev A Y, Alishahiha M, Aschieri P, Azuma T, Berman D S, Blaschke D N, Blaschke D N, Blaschke D N, Castro-Villarreal P, Chatzistavrakidis A, Chatzistavrakidis A, Daniel N Blaschke, Jack I, Khoze V V, Kim S W, Klammer D, Madore J, Maldacena J M, Maldacena J M, Myers R C, Peskin M E, Steinacker H, Steinacker H, Steinacker H, Tseytlin A A, Vassilevich D V   +25 more
core   +1 more source

K\"{a}hler structure in the commutative limit of matrix geometry [PDF]

, 2016
We consider the commutative limit of matrix geometry described by a large-$N$ sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a K\"{a}hler structure. We find an explicit relation between the K\"
Ishiki, Goro, Matsumoto, Takaki, Muraki, Hisayoshi   +2 more
core   +1 more source

Fuzzy Algebrae of the General Kaehler Coset Space G/H\otimesU(1)^k [PDF]

, 2002
We study the fuzzy structure of the general Kaehler coset space G/S\otimes{U(1)}^k deformed by the Fedosov formalism. It is shown that the Killing potentials satisfy the fuzzy algebrae working in the Darboux coordinates.Comment: 8 pages, LaTex, no ...
Alekseev A. Y., SHOGO AOYAMA, TAKAHIRO MASUDA   +2 more
core   +1 more source

Translation-invariant generalized topologies induced by probabilistic norms [PDF]

, 2005
In this paper we consider probabilistic normed spaces as defined by Alsina, Sklar, and Schweizer, but equipped with non necessarily continuous triangle functions. Such spaces endow a generalized topology that is Fr\'echet-separable, translation-invariant
Lafuerza-Guillen, Bernardo, Rodriguez, Jose L.   +1 more
core   +6 more sources

Quantized open FRW cosmology from Yang-Mills matrix models

, 2018
We present simple solutions of IKKT-type matrix models describing a quantized homogeneous and isotropic cosmology with $k=-1$, finite density of microstates and a resolved Big Bang. At late times, a linear coasting cosmology $a(t) \propto t$ is obtained,
Steinacker, Harold C.
core   +1 more source

Open strings in Lie groups and associative products [PDF]

, 2006
Firstly, we generalize a semi-classical limit of open strings on D-branes in group manifolds. The limit gives rise to rigid open strings, whose dynamics can efficiently be described in terms of a matrix algebra.
Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alekseev, Alvarez-Gaume, Balachandran, Behrend, Berezin, Bigatti, Bordemann, Cardy, Charles Jego, Chu, Coste, D'Appollonio, D'Appollonio, Davids, Davids, Douglas, Falcet, Felder, Felder, Figueroa-O'Farrill, Freidel, Gawedzki, Grosse, Hoppe, Hosomichi, Hou, Jan Troost, Jurco, Jurco, Karasev, Karasev, Kirillov, Kirillov, Landsman, Lieb, Liskova, Madore, Maldacena, McGreevy, Moore, Morariu, Morariu, Mukunda, Nielsen, Perelomov, Pierre Bieliavsky, Podles, Ponsot, Ponsot, Pradisi, Rawnsley, Rawnsley, Ribault, Ribault, Rieffel, Runkel, Schomerus, Seiberg, Sfetsos, Simon, Slater, Snyder, Taylor, Troost, Unterberger, Unterberger, Vilenkin, Vilenkin, Weinstein, Weinstein, Weinstein, Whipple, Whipple, Whipple, Wigner, Witten, Witten, Woodhouse, Zakrzewski   +83 more
core   +4 more sources

Cosmological space-times with resolved Big Bang in Yang-Mills matrix models

, 2018
We present simple solutions of IKKT-type matrix models that can be viewed as quantized homogeneous and isotropic cosmological space-times, with finite density of microstates and a regular Big Bang (BB).
Steinacker, Harold C.
core   +1 more source