Moduli stabilization and light axion by Siegel modular forms
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DOI: 10.1007/jhep03(2025)093
Abstract: We discuss the stabilization of multiple moduli by utilizing Siegel modular forms in the framework of Sp(2g, ℤ) modular invariant theories. For a generic modular- and CP-invariant scalar potential, we find that CP-conserving fixed points… read more here.
Keywords: modular invariant; stabilization; light axion; siegel modular ... See more keywords
Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-016-1448-4
Abstract: Let $$-d$$-d be a a negative discriminant and let T vary over a set of representatives of the integral equivalence classes of integral binary quadratic forms of discriminant $$-d$$-d. We prove an asymptotic formula for… read more here.
Keywords: averages fourier; siegel modular; coefficients siegel; binary quadratic ... See more keywords
Dimension formulas for Siegel modular forms of level 4
Sign Up to like & getrecommendations! Published in 2022 at "Mathematika"
DOI: 10.1112/mtk.12207
Abstract: We prove several dimension formulas for spaces of scalar-valued Siegel modular forms of degree $2$ with respect to certain congruence subgroups of level $4$. In case of cusp forms, all modular forms considered originate from… read more here.
Keywords: dimension formulas; modular forms; siegel modular; formulas siegel ... See more keywords