Results 11 to 20 of about 56,507 (201)

Modular Frobenius manifolds and their invariant flows [PDF]

open access: yes, 2010
The space of Frobenius manifolds has a natural involutive symmetry on it: there exists a map $I$ which send a Frobenius manifold to another Frobenius manifold.
Morrison, Ewan K., Strachan, Ian A. B.
core   +2 more sources

Dual Feynman transform for modular operads [PDF]

open access: yes, 2007
We introduce and study the notion of a dual Feynman transform of a modular operad. This generalizes and gives a conceptual explanation of Kontsevich's dual construction producing graph cohomology classes from a contractible differential graded Frobenius ...
Chuang, Joseph, Lazarev, Andrey
core   +5 more sources

Modular Inflation Observables and $j$-Inflation Phenomenology [PDF]

open access: yes, 2017
Modular inflation is the restriction to two fields of automorphic inflation, a general group based framework for multifield scalar field theories with curved target spaces, which can be parametrized by the comoving curvature perturbation ${\cal R}$ and ...
Schimmrigk, Rolf
core   +1 more source

Robert MacPherson and arithmetic groups [PDF]

open access: yes, 2006
We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) constructions of compactifications of locally symmetric spaces ...
Gunnells, Paul E.
core   +3 more sources

Big Bang, Blowup, and Modular Curves: Algebraic Geometry in Cosmology [PDF]

open access: yes, 2014
We introduce some algebraic geometric models in cosmology related to the "boundaries" of space-time: Big Bang, Mixmaster Universe, Penrose's crossovers between aeons.
Manin, Yuri I., Marcolli, Matilde
core   +6 more sources

Generalized Fuzzy Torus and its Modular Properties [PDF]

open access: yes, 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

Phase Transitions in Warped AdS$_3$ Gravity

open access: yes, 2015
We consider asymptotically Warped AdS$_3$ black holes in Topologically Massive Gravity. We study their thermodynamic stability and show the existence of a Hawking-Page phase transition between the black hole and thermal background phases. At zero angular
Detournay, Stéphane, Zwikel, Céline
core   +1 more source

S-duality in Twistor Space [PDF]

open access: yes, 2012
In type IIB string compactifications on a Calabi-Yau threefold, the hypermultiplet moduli space $M_H$ must carry an isometric action of the modular group SL(2,Z), inherited from the S-duality symmetry of type IIB string theory in ten dimensions.
A Haydys   +49 more
core   +5 more sources

Some common fixed point theorems in generalized modular metric spaces with applications

open access: yesScientific African
In this paper, we extend the notion of weakly commuting mappings results in modular metric spaces to setting of modular ωG-metric spaces and prove the existence of unique common fixed point of three pairs of weakly commuting self-maps in modular ωG ...
Godwin Amechi Okeke, Daniel Francis
doaj   +1 more source

S-duality in Abelian gauge theory revisited

open access: yes, 2011
Definition of the partition function of U(1) gauge theory is extended to a class of four-manifolds containing all compact spaces and certain asymptotically locally flat (ALF) ones including the multi-Taub--NUT spaces. The partition function is calculated
Besse   +25 more
core   +1 more source

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