Results 11 to 20 of about 11,403,908 (364)

Modular graph functions [PDF]

Communications in Number Theory and Physics, 2017
In earlier work we studied features of non-holomorphic modular functions associated with Feynman graphs for a conformal scalar field theory on a two-dimensional torus with zero external momenta at all vertices. Such functions, which we will refer to as modular graph functions, arise, for example, in the low energy expansion of genus-one Type II ...
d'Hoker, Eric, Green, Michael B., Gurdogan, Omer, Vanhove, P.   +3 more
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Approximating fixed points of $$\left( \lambda ,\rho \right) $$λ,ρ-firmly nonexpansive mappings in modular function spaces [PDF]

, 2018
In this paper, we first introduce an iterative process in modular function spaces and then extend the idea of a $$\lambda $$λ-firmly nonexpansive mapping from Banach spaces to modular function spaces.
S. H. Khan
semanticscholar   +1 more source

Flux vacua and modularity for $\mathbb{Z}_2$ symmetric Calabi-Yau manifolds

SciPost Physics, 2023
We find continuous families of supersymmetric flux vacua in IIB Calabi-Yau compactifications for multiparameter manifolds with an appropriate $\mathbb{Z}_{2}$ symmetry.
Philip Candelas, Xenia de la Ossa, Pyry Kuusela, Joseph McGovern
doaj   +1 more source

Ramanujan’s function k(τ)=r(τ)r2(2τ) and its modularity

Open Mathematics, 2020
We study the modularity of Ramanujan’s function k(τ)=r(τ)r2(2τ)k(\tau )=r(\tau ){r}^{2}(2\tau ), where r(τ)r(\tau ) is the Rogers-Ramanujan continued fraction.
Lee Yoonjin, Park Yoon Kyung
doaj   +1 more source

BMS modular diaries: torus one-point function

Journal of High Energy Physics, 2020
Two dimensional field theories invariant under the Bondi-Metzner-Sachs (BMS) group are conjectured to be dual to asymptotically flat spacetimes in three dimensions.
Arjun Bagchi, Poulami Nandi, Amartya Saha, Zodinmawia   +3 more
doaj   +1 more source

Symmetry-resolved modular correlation functions in free fermionic theories

Journal of High Energy Physics, 2023
As a new ingredient for analyzing the fine structure of entanglement, we study the symmetry resolution of the modular flow of U(1)-invariant operators in theories endowed with a global U(1) symmetry.
Giuseppe Di Giulio, Johanna Erdmenger
doaj   +1 more source

Closed Bosonic String Partition Function in Time Independent Exact PP-Wave Background [PDF]

, 2003
The modular invariance of the one-loop partition function of the closed bosonic string in four dimensions in the presence of certain homogeneous exact pp-wave backgrounds is studied.
AGAPITOS HATZINIKITAS, Bergman O., Gradshteyn I. S., Hammou A. B., IOANNIS SMYRNAKIS, Kiritsis E., Takayanagi T.   +6 more
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Approximating fixed points of $\rho$-nonexpansive mappings by RK-iterative process in modular function spaces

Journal of Nonlinear and Variational Analysis, 2019
In this paper, we use the so-called RK-iterative process to approximate fixed points of nonexpansive mappings in modular function spaces. This process converges faster than its several counterparts.
S. H. Khan, H. Fukhar-ud-din
semanticscholar   +1 more source

Odd values of the Klein j-function and the cubic partition function [PDF]

, 2015
In this note, using entirely algebraic or elementary methods, we determine a new asymptotic lower bound for the number of odd values of one of the most important modular functions in number theory, the Klein $j$-function.
Zanello, Fabrizio
core   +1 more source

Modular Schur Functions [PDF]

Transactions of the American Mathematical Society, 1994
A new family of symmetric functions is considered. These functions are analogous to the classical Schur functions, but depend on an integer modulus p ⩾ 2 p \geqslant 2 , as well as on a partition λ \lambda .
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