Results 61 to 70 of about 10,606 (255)
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
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 +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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Remark on Witten’s modular forms [PDF]
Proceedings of the American Mathematical Society, 1989 We give a simple proof of the modular invariance of a power series which Witten [4] attaches to an even-dimensional closed manifold whose first Pontryagin class is torsion. The proof uses only the functional equation satisfied by classical theta functions.
openaire +1 more source
Tumour–host interactions in Drosophila: mechanisms in the tumour micro‐ and macroenvironment
Molecular Oncology, EarlyView.This review examines how tumour–host crosstalk takes place at multiple levels of biological organisation, from local cell competition and immune crosstalk to organism‐wide metabolic and physiological collapse. Here, we integrate findings from Drosophila melanogaster studies that reveal conserved mechanisms through which tumours hijack host systems to ...
José Teles‐Reis, Tor Erik Rusten
wiley +1 more source
Modular forms via invariant theory [PDF]
, 2023 We discuss two simple but useful observations that allow the construction of modular forms from given ones using invariant theory. The first one deals with elliptic modular forms and their derivatives, and generalizes the Rankin-Cohen bracket, while the ...
van der Geer, G., Cléry, F.
core +1 more source
Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
wiley +1 more source
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
doaj +1 more source
, 2016 We survey the progress (or lack thereof!) that has been made on some questions about the p-adic slopes of modular forms that were raised by the first author in [Buz05], discuss strategies for making further progress, and examine other related questions.
Buzzard, Kevin, Gee, Toby
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Quadratic Minima and Modular Forms [PDF]
Experimental Mathematics, 1998 To appear in "Experimental Mathematics". 25 pages. Section 5 cuts omit "weakly level 1" results, since weakly level 1 => level 1 (as pointed out to me by Rainer Schulze-Pillot.)
openaire +3 more sources