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pro vyhledávání: '"Kuusela, Pyry"'
The deformation approach of arXiv:2104.07816 for computing zeta functions of one-parameter Calabi-Yau threefolds is generalised to cover also multiparameter manifolds. Consideration of the multiparameter case requires the development of an improved f
Externí odkaz:
http://arxiv.org/abs/2405.08067
Autor:
Jockers, Hans, Kotlewski, Sören, Kuusela, Pyry, McLeod, Andrew J., Pögel, Sebastian, Sarve, Maik, Wang, Xing, Weinzierl, Stefan
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 $z=m^2/p^2$. We show that it can also be interpreted as a period of a fami
Externí odkaz:
http://arxiv.org/abs/2404.05785
Autor:
Kuusela, Pyry, McGovern, Joseph
We study the problem of computing Gopakumar-Vafa invariants for multiparameter families of symmetric Calabi-Yau threefolds admitting flops to diffeomorphic manifolds. There are infinite Coxeter groups, generated by permutations and flops, that act as
Externí odkaz:
http://arxiv.org/abs/2312.06753
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 that is attributed to the horizontal four-form cohomology. This, in turn,
Externí odkaz:
http://arxiv.org/abs/2312.07611
Publikováno v:
SciPost Phys. 15, 146 (2023)
We find continuous families of supersymmetric flux vacua in IIB Calabi-Yau compactifications for multiparameter manifolds with an appropriate $\mathbb{Z}_2$ symmetry. We argue, supported by extensive computational evidence, that the numerators of the
Externí odkaz:
http://arxiv.org/abs/2302.03047
Publikováno v:
SciPost Phys. 15, 144 (2023)
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 manifolds. Toric geometry allows for a simple explicit construction of t
Externí odkaz:
http://arxiv.org/abs/2111.02440
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, generating what we term an N-expansion, which is a power series in the Gr
Externí odkaz:
http://arxiv.org/abs/2104.02718
Autor:
Kuusela, Pyry
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 defining the commutation relations of the relevant matrices, and is thus
Externí odkaz:
http://arxiv.org/abs/1905.00429
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