6 papers
Double Cover of Modular for Flavour Model Building
P. P. Novichkov, J. T. Penedo, S. T. Petcov
We develop the formalism of the finite modular group , a double cover of the modular permutation group , for theories of flavour. The integer weig…
Generalised CP Symmetry in Modular-Invariant Models of Flavour
P. P. Novichkov, J. T. Penedo, S. T. Petcov +1
The formalism of combined finite modular and generalised CP (gCP) symmetries for theories of flavour is developed. The corresponding consistency conditions for the two symmetry tra…
Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries
P. P. Novichkov, S. T. Petcov, M. Tanimoto
We construct phenomenologically viable models of lepton masses and mixing based on modular invariance broken to residual symmetries or …
Modular Symmetry for Flavour Model Building
P. P. Novichkov, J. T. Penedo, S. T. Petcov +1
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 gro…
Modular Models of Lepton Masses and Mixing
P. P. Novichkov, J. T. Penedo, S. T. Petcov +1
We investigate models of charged lepton and neutrino masses and lepton mixing based on broken modular symmetry. The matter fields in these models are assumed to transform in irredu…
Superintegrable metrics on surfaces admitting integrals of degrees 1 and 4
Pavel Novichkov
We study Riemannian metrics on surfaces whose geodesic flows are superintegrable with one integral linear in momenta and one integral quartic in momenta. The main results of the wo…