Results 31 to 40 of about 55,203 (163)

3d modularity

Journal of High Energy Physics, 2019
We find and propose an explanation for a large variety of modularity-related symmetries in problems of 3-manifold topology and physics of 3d N $$ \mathcal{N} $$ = 2 theories where such structures a priori are not manifest.
Miranda C.N. Cheng, Sungbong Chun, Francesca Ferrari, Sergei Gukov, Sarah M. Harrison   +4 more
doaj   +1 more source

sl(2)ˆ Decomposition of denominator formulae of some BKM Lie superalgebras - II

Nuclear Physics B, 2023
The square-root of Siegel modular forms of CHL ZN orbifolds of type II compactifications are denominator formulae for some Borcherds-Kac-Moody Lie superalgebras for N=1,2,3,4.
Suresh Govindarajan, Mohammad Shabbir
doaj   +1 more source

On the normalisation of the modular forms in modular invariant theories of flavour

Physics Letters B
The problem of normalisation of the modular forms in modular invariant lepton and quark flavour models is discussed. Modular invariant normalisations of the modular forms are proposed.
S.T. Petcov
doaj   +1 more source

Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings

Journal of High Energy Physics, 2019
We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude.
Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer   +2 more
doaj   +1 more source

Bounds for twisted symmetric square L-functions via half-integral weight periods

Forum of Mathematics, Sigma, 2020
We establish the first moment bound $$\begin{align*}\sum_{\varphi} L(\varphi \otimes \varphi \otimes \Psi, \tfrac{1}{2}) \ll_\varepsilon p^{5/4+\varepsilon} \end{align*}$$ for triple product L-functions, where $\Psi $ is a fixed Hecke ...
Paul D. Nelson
doaj   +1 more source

D 4 modular forms

American Journal of Mathematics, 2006
In this paper, we study modular forms on two simply connected groups of type D 4 over Q. One group, G s , is a globally split group of type D 4 , viewed as the group of isotopies of the split rational octonions. The other, G c , is the isotopy group of the rational (nonsplit) octonions. We study automorphic forms on G s in analogy to the work of Gross,
openaire   +2 more sources

Modular A 5 symmetry for flavour model building

Journal of High Energy Physics, 2019
In the framework of the modular symmetry approach to lepton flavour, we consider a class of theories where matter superfields transform in representations of the finite modular group Γ5 ≃ A 5.
P. P. Novichkov, J. T. Penedo, S. T. Petcov, A. V. Titov   +3 more
doaj   +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

On the arithmetic nature of coefficients of multiplicative eta-functions

Вестник Самарского университета: Естественнонаучная серия
In the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
doaj   +1 more source

Sp(6, Z) modular symmetry in flavor structures: quark flavor models and Siegel modular forms for $$\widetilde{\Delta }\left(96\right)$$

Journal of High Energy Physics
We study an approach to construct Siegel modular forms from Sp(6, Z). Zero-mode wave functions on T 6 with magnetic flux background behave Siegel modular forms at the origin.
Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Shohei Takada, Hikaru Uchida   +4 more
doaj   +1 more source