Results 11 to 20 of about 611,541 (163)

Spin and abelian electromagnetic duality on four-manifolds [PDF]

open access: yes, 2000
We investigate the electromagnetic duality properties of an abelian gauge theory on a compact oriented four-manifold by analysing the behaviour of a generalised partition function under modular transformations of the dimensionless coupling constants. The
Alvarez, Marcos, Olive, David I.
core   +2 more sources

BMS modular diaries: torus one-point function

open access: yesJournal 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   +3 more
doaj   +1 more source

Symmetry-resolved modular correlation functions in free fermionic theories

open access: yesJournal 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

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

open access: yes, 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]

open access: yesTransactions 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 .
openaire   +1 more source

The Modular Irregularity Strength of C_n⊙mK_1

open access: yesInPrime, 2022
Let G(V, E) be a graph with order n with no component of order 2. An edge k-labeling α: E(G) →{1,2,…,k} is called a modular irregular k-labeling of graph G if the corresponding modular weight function wt_ α:V(G) → Z_n defined by wt_ α(x) =Ʃ_(xyϵE(G)) α ...
Putu Kartika Dewi
doaj   +1 more source

Modular equations of a continued fraction of order six

open access: yesOpen Mathematics, 2019
We study a continued fraction X(τ) of order six by using the modular function theory. We first prove the modularity of X(τ), and then we obtain the modular equation of X(τ) of level n for any positive integer n; this includes the result of Vasuki et al ...
Lee Yoonjin, Park Yoon Kyung
doaj   +1 more source

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

open access: yes, 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   +6 more
core   +1 more source

On the universal behavior of T T ¯ $$ T\overline{T} $$ -deformed CFTs: single and double-trace partition functions at large c

open access: yesJournal of High Energy Physics, 2023
We study universal properties of the torus partition function of T T ¯ $$ T\overline{T} $$ -deformed CFTs under the assumption of modular invariance, for both the original version, referred to as the double-trace version in this paper, and the single ...
Luis Apolo, Wei Song, Boyang Yu
doaj   +1 more source

Koshliakov zeta functions I: Modular relations [PDF]

open access: yesAdvances in Mathematics, 2021
34 pages, submitted for publication; comments are ...
Dixit, Atul, Gupta, Rajat
openaire   +2 more sources

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