[HTML][HTML] The elliptic dilogarithm for the sunset graph
S Bloch, P Vanhove - Journal of Number Theory, 2015 - Elsevier
We study the sunset graph defined as the scalar two-point self-energy at two-loop order. We
evaluated the sunset integral for all identical internal masses in two dimensions. We give …
evaluated the sunset integral for all identical internal masses in two dimensions. We give …
A Feynman integral via higher normal functions
We study the Feynman integral for the three-banana graph defined as the scalar two-point
self-energy at three-loop order. The Feynman integral is evaluated for all identical internal …
self-energy at three-loop order. The Feynman integral is evaluated for all identical internal …
Local mirror symmetry and the sunset Feynman integral
We study the sunset Feynman integral defined as the scalar two-point self-energy at two-
loop order in a two dimensional space-time. We firstly compute the Feynman integral, for …
loop order in a two dimensional space-time. We firstly compute the Feynman integral, for …
Spectral theory and mirror curves of higher genus
Recently, a correspondence has been proposed between spectral theory and topological
strings on toric Calabi–Yau manifolds. In this paper, we develop in detail this …
strings on toric Calabi–Yau manifolds. In this paper, we develop in detail this …
Period integrals from wall structures via tropical cycles, canonical coordinates in mirror symmetry and analyticity of toric degenerations
We give a simple expression for the integral of the canonical holomorphic volume form in
degenerating families of varieties constructed from wall structures and with central fiber a …
degenerating families of varieties constructed from wall structures and with central fiber a …
Feynman integrals, toric geometry and mirror symmetry
P Vanhove - Elliptic Integrals, Elliptic Functions and Modular Forms …, 2019 - Springer
This expository text is about using toric geometry and mirror symmetry for evaluating
Feynman integrals. We show that the maximal cut of a Feynman integral is a GKZ …
Feynman integrals. We show that the maximal cut of a Feynman integral is a GKZ …
On the remodeling conjecture for toric Calabi-Yau 3-orbifolds
B Fang, CC Liu, Z Zong - Journal of the American Mathematical Society, 2020 - ams.org
The Remodeling Conjecture proposed by Bouchard-Klemm-Mariño-Pasquetti (BKMP)
relates the A-model open and closed topological string amplitudes (the all genus open and …
relates the A-model open and closed topological string amplitudes (the all genus open and …
Spectral theory and mirror symmetry
M Marino - Proc. Symp. Pure Math, 2018 - books.google.com
Recent developments in string theory have revealed a surprising connection between
spectral theory and local mirror symmetry: it has been found that the quantization of mirror …
spectral theory and local mirror symmetry: it has been found that the quantization of mirror …
Matrix models from operators and topological strings
We propose a new family of matrix models whose 1/N expansion captures the all-genus
topological string on toric Calabi–Yau threefolds. These matrix models are constructed from …
topological string on toric Calabi–Yau threefolds. These matrix models are constructed from …
Operators and higher genus mirror curves
S Codesido, J Gu, M Mariño - Journal of High Energy Physics, 2017 - Springer
A bstract We perform further tests of the correspondence between spectral theory and
topological strings, focusing on mirror curves of genus greater than one with nontrivial mass …
topological strings, focusing on mirror curves of genus greater than one with nontrivial mass …