Meromorphic cosets and the classification of three-character CFT by Arpit Das, Chethan N. Gowdigere, Sunil Mukhi

“…Abstract We investigate the admissible vector-valued modular forms having three independent characters and vanishing Wronskian index and determine which ones correspond to genuine 2d conformal field theories. …”
Get full text

Theta products and eta quotients of level 24 and weight 2 by Alaca, Ayşe, Alaca, Şaban, Aygin, Zafer Selcuk

“…We find bases for the spaces M2(Γ0(24),(d⋅))M2(Γ0(24),(d⋅)) (d=1,8,12,24d=1,8,12,24) of modular forms. We determine the Fourier coefficients of all 3535 theta products φ[a1,a2,a3,a4](z)φ[a1,a2,a3,a4](z) in these spaces. …”
Get full text
Get full text

Two moonshines for L2(11) but none for M12 by Suresh Govindarajan, Sutapa Samanta

“…We construct Siegel modular forms for all L2(11) conjugacy classes and show that each of them arises as the denominator formula for a distinct Borcherds–Kac–Moody Lie superalgebra.…”
Get full text

Extended eigenvarieties for overconvergent cohomology by Johansson, C, Newton, J

“…Recently, Andreatta, Iovita and Pilloni have constructed spaces of overconvergent modular forms in characteristic p, together with a natural extension of the Coleman–Mazur eigencurve over a compactified (adic) weight space. …”

Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case by PAYMAN L. KASSAEI, SHU SASAKI, YICHAO TIAN

“…As an ingredient of the proof, we provide a general result on the automatic analytic continuation of overconvergent $p$ -adic Hilbert modular forms of finite slope which substantially generalizes a similar result in P. …”
Get full text

Generating series of all modular graph forms from iterated Eisenstein integrals by Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer

“…These functions are built from real and imaginary parts of holomorphic iterated Eisenstein integrals and should be closely related to Brown’s recent construction of real-analytic modular forms. We study the properties of our real-analytic objects in detail and give explicit examples to a fixed order in the α′-expansion. …”
Get full text

Adjoint SU(5) GUT model with modular S 4 symmetry by Ya Zhao, Hong-Hao Zhang

“…The Yukawa entries of both quarks and leptons are expressed by modular forms with lower weights. Neutrino sector has an adjoint SU(5) representation 24 as matter superfield, which is a triplet of S 4. …”
Get full text

Modular Symmetry and Fractional Charges in N = 2 Supersymmetric Yang-Mills and the Quantum Hall Effect by Brian P. Dolan

“…In the case of N = 2 supersymmetric Yang-Mills in 3+1 dimensions, scaling functions can be defined which are modular forms of a subgroup of the full modular group and which interpolate between vacua. …”
Get full text

Type III seesaw under $$A_4$$ A 4 modular symmetry with leptogenesis by Priya Mishra, Mitesh Kumar Behera, Papia Panda, Rukmani Mohanta

“…Also, the Yukawa couplings acquire modular forms which are expressed in terms of Dedekind eta function $$\eta (\tau )$$ η ( τ ) . …”
Get full text

Universal polynomials in lambda rings and the K-theory of the infinite loop space tmf by Hopkinson, John R. (John Robert)

Get full text

SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS by LASSINA DEMBÉLÉ, FRED DIAMOND, DAVID P. ROBERTS

“…A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic $p$ representations of Galois groups over $F$ arise from Hilbert modular forms. Moreover, it predicts the set of weights of such forms in terms of the local behaviour of the Galois representation at primes over  $p$ . …”
Get full text

Supersymmetric phases of 4d N $$ \mathcal{N} $$ = 4 SYM at large N by Alejandro Cabo-Bizet, Sameer Murthy

“…The extension of the action in terms of modular forms leads to a simple treatment of the Cardy-like limit τ → 0.…”
Get full text

A modular A4 symmetry realization of two-zero textures of the Majorana neutrino mass matrix by Di Zhang

“…Considering tensor products of the A4 group, it is easy to make the charged lepton mass matrix Mℓ diagonal. Since not all modular forms of a specific weight and level 3 can be arranged into three inequivalent singlets of A4 simultaneously, we can always make some entries in Mν vanish by properly assigning the representations and modular weights for the matter fields. …”
Get full text

Modular amplitudes and flux-superpotentials on elliptic Calabi-Yau fourfolds by Cesar Fierro Cota, Albrecht Klemm, Thorsten Schimannek

“…We find holomorphic anomaly equations for the amplitudes, reflecting precisely the failure of exact PSL(2,Z) invariance that relates them to quasi-modular forms. Finally we use the integral basis of periods to study the horizontal flux superpotential and the leading order Kähler potential for the moduli fields in F-theory compactifications globally on the complex structure moduli space. …”
Get full text

Soft supersymmetry breaking terms and lepton flavor violations in modular flavor models by Tatsuo Kobayashi, Takashi Shimomura, Morimitsu Tanimoto

“…It is found that the soft SUSY breaking terms are constrained by the modular forms, and specific patterns are derived. Those phenomenological implications are discussed in such as the lepton flavor violation μ→e+γ and μ→3e decays and μ→e conversion in nuclei. …”
Get full text

Modular S 4 models of lepton masses and mixing by P. P. Novichkov, J. T. Penedo, S. T. Petcov, A. V. Titov

“…Using the basis for the lowest weight modular forms found earlier, we build minimal phenomenologically viable models in which the neutrino masses are generated via the type I seesaw mechanism. …”
Get full text

STRUCTURAL DESIGN OF A WORKBENCH FOR THE NEEDS OF A SERVICE TECHNICIAN by Denis Molnár, Miroslav Blatnický, Ján Dižo, Jozef Harušinec, Rastislav Maliňák

“…The chief larger part is made of medium density fibreboard and the smaller modular part can be in the two modular forms. The first version is the medium density fibreboard, and second alternative is a board designed to fix the components during their maintenance, repair as well as for welding. …”
Get full text

Performance Analysis of Thread Block Schedulers in GPGPU and Its Implications by KyungWoon Cho, Hyokyung Bahn

“…Moreover, as our simulator consists of modular forms based on the framework and we publicly open it for other researchers to use, various scheduling policies can be incorporated into our simulator for evaluating the performance of GPGPU schedulers.…”
Get full text

Nonrelativistic Dirac fermions on the torus by Jeremías Aguilera-Damia, Mario Solís, Gonzalo Torroba

“…Taking inspiration from recent developments in massive modular forms, we obtain a representation of the torus free energy based on Fourier-transforming over a twisted boundary condition. …”
Get full text

Lost chapters in CHL black holes: untwisted quarter-BPS dyons in the ℤ2 model by Fabian Fischbach, Albrecht Klemm, Christoph Nega

“…This yields meromorphic Siegel modular forms for the Iwahori subgroup B(2) ⊂ Sp4(ℤ) which generate BPS indices for dyons with untwisted sector electric charge, in contrast to twisted sector dyons counted by a multiplicative lift of twisted-twining elliptic genera known from Mathieu moonshine. …”
Get full text