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20192026
most citedFlux Vacua and Modularity for Symmetric Calabi-Yau Manifolds

12 citations · 38 across the 10 of their papers we have counts for

collaborators

10 papers

math.NT2026

Solutions of Calabi-Yau Differential Operators as Truncated p-adic Series and Efficient Computation of Zeta Functions

Pyry Kuusela, Michael Lathwood, Miroslava Mosso Rojas +1

Recently, a version of the deformation method developed in arXiv:2104.07816 has been used to great effect to compute the local zeta functions of Calabi-Yau threefolds by computing…

hep-th2025

Hodge Structures of Complex Multiplication Type from Rational Conformal Field Theories

Hans Jockers, Pyry Kuusela, Maik Sarve

Under certain assumptions, we show that unitary rational conformal field theories together with a certain generating set of Cardy boundary states in the associa…

hep-th2024★ 1 cited

Local Zeta Functions of Multiparameter Calabi-Yau Threefolds from the Picard-Fuchs Equations

Philip Candelas, Xenia de la Ossa, Pyry Kuusela

The deformation approach of arXiv:2104.07816 for computing zeta functions of one-parameter Calabi-Yau threefolds is generalised to cover also multiparameter manifolds. Consideratio…

hep-th2024★ 11 cited

A Calabi-Yau-to-Curve Correspondence for Feynman Integrals

Hans Jockers, Sören Kotlewski, Pyry Kuusela +5

It has long been known that the maximal cut of the equal-mass four-loop banana integral is a period of a family of Calabi-Yau threefolds that depends on the kinematic variable $z=m…

hep-th2023

Reflections in the Mirror: Studying Infinite Coxeter Groups of GV-Invariants

Pyry Kuusela, Joseph McGovern

We study the problem of computing Gopakumar-Vafa invariants for multiparameter families of symmetric Calabi-Yau threefolds admitting flops to diffeomorphic manifolds. There are inf…

hep-th2023

Modular Calabi-Yau Fourfolds and Connections to M-Theory Fluxes

Hans Jockers, Sören Kotlewski, Pyry Kuusela

In this work, we study the local zeta functions of Calabi-Yau fourfolds. This is done by developing arithmetic deformation techniques to compute the factor of the zeta function tha…

hep-th2023★ 12 cited

Flux Vacua and Modularity for Symmetric Calabi-Yau Manifolds

Philip Candelas, Xenia de la Ossa, Pyry Kuusela +1

We find continuous families of supersymmetric flux vacua in IIB Calabi-Yau compactifications for multiparameter manifolds with an appropriate symmetry. We argue, sup…

hep-th2021★ 10 cited

Mirror Symmetry for Five-Parameter Hulek-Verrill Manifolds

Philip Candelas, Xenia de la Ossa, Pyry Kuusela +1

We study the mirrors of five-parameter Calabi-Yau threefolds first studied by Hulek and Verrill in the context of observed modular behaviour of the zeta functions for Calabi-Yau ma…

hep-th2021★ 1 cited

Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds

Philip Candelas, Pyry Kuusela, Joseph McGovern

The attractor equations for an arbitrary one-parameter family of Calabi-Yau manifolds are studied in the large complex structure region. These equations are solved iteratively, gen…

hep-th2019★ 3 cited

"GammaMaP" - A Mathematica Package for Clifford Algebras, Gamma Matrices and Spinors

Pyry Kuusela

We present a Mathematica package for doing computations with gamma matrices, spinors, tensors and other objects, in any dimension and signature. The approach we use is based on def…