Results 21 to 30 of about 62,851 (120)
On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3
Open MathematicsIn this article, we study common zeros of the iterated derivatives of the Eisenstein series for Γ0+(N){\Gamma }_{0}^{+}\left(N) of level N=1,2,and2,N=1,2, and 3, which are quasi-modular forms.
Im Bo-Hae, Kim Hojin, Lee Wonwoong
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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 +4 more
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On the normalisation of the modular forms in modular invariant theories of flavour
Physics Letters BThe 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
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Poincaré series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms
Journal of High Energy Physics, 2022 We continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincaré series in a companion paper. The source term of the Laplace equation is a product of (derivatives of)
Daniele Dorigoni +2 more
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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
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ρ — Adic Analogues of Ramanujan Type Formulas for 1/π
Mathematics, 2013 Following Ramanujan’s work on modular equations and approximations of π, there are formulas for 1/π of the form [PLEASE CHECK FORMULA IN THE PDF] for d = 2, 3, 4, 6, where λd are singular values that correspond to elliptic curves with complex ...
Sarah Chisholm +4 more
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On the arithmetic nature of coefficients of multiplicative eta-functions
Вестник Самарского университета: Естественнонаучная серияIn 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
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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
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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 +2 more
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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 +3 more
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