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We use the GKZ description of periods and certain classes of relative periods on families of Barth-Nieto Calabi-Yau $(l-1)$-folds in order to solve the $l$-loop banana amplitudes with their general mass dependence.
L. de la Cruz, “Feynman integrals as A-hypergeometric functions,” JHEP
1907
Earlier work this paper cites.
1907
Earlier work this paper cites.
1907
Earlier work this paper cites.
1910
Earlier work this paper cites.
1910
Earlier work this paper cites.
1912
Earlier work this paper cites.
1912
Earlier work this paper cites.
Six volumes bound as three. Dover Publications, Inc., New York, 1959
A. R. Forsyth, Theory of differential equations. 1. Exact equations and Pfaff’s problem; 2, 3. Ordinary equations, not linear; 4. Ordinary linear equations; 5, 6. Partial differential equations · 1959
Earlier work this paper cites.
P. A. Griffiths, “Periods of integrals on algebraic manifolds. I. Construction and properties of the modular varieties,” Amer. J. Math
1968
Earlier work this paper cites.
P. A. Griffiths, “Periods of integrals on algebraic manifolds. II. Local study of the period mapping,” Amer. J. Math
1968
Earlier work this paper cites.
P. A. Griffiths, “On the periods of certain rational integrals. I, II,” Ann. of Math. (2) 90 (1969), 460-495; ibid. (2)
1969
Earlier work this paper cites.
J. H. Conway and S. P. Norton, “Monstrous moonshine,” Bull. London Math. Soc
1979
Earlier work this paper cites.
International Series In Pure and Applied Physics. McGraw-Hill, New York, 1980
C. Itzykson and J. B. Zuber, Quantum Field Theory · 1980
Earlier work this paper cites.
Springer-Verlag, New York-Berlin, 1982
R. Bott and L. W. Tu, Differential forms in algebraic topology · 1982
Earlier work this paper cites.
Birkhäuser Boston, Boston, MA, 1983
R. L. Bryant and P. A. Griffiths, “Some observations on the infinitesimal period relations for regular threefolds with trivial canonical bundle,” in Arithmetic and geometry, Vol. II · 1983
Earlier work this paper cites.
I. M. Gel ′
1989
Earlier work this paper cites.
I. M. Gel ′
1989
Earlier work this paper cites.
I. M. Gel ′
1990
Earlier work this paper cites.
W. Lerche, D. J. Smit, and N. P. Warner, “Differential equations for periods and flat coordinates in two-dimensional topological matter theories,” Nucl. Phys
1992
Earlier work this paper cites.
V. V. Batyrev, “Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties,” J. Algebraic Geom
1994
Cited alongside, same era.
S. Hosono, A. Klemm, S. Theisen, and S.-T. Yau, “Mirror symmetry, mirror map and applications to calabi-yau hypersurfaces,” Commun. Math. Phys
1995
Cited alongside, same era.
V. V. Batyrev and D. van Straten, “Generalized hypergeometric functions and rational curves on Calabi-Yau complete intersections in toric varieties,” Comm. Math. Phys
1995
Cited alongside, same era.
V. V. Batyrev and D. van Straten, “Generalized hypergeometric functions and rational curves on calabi-yau complete intersections in toric varieties,” Commun. Math. Phys
1995
Cited alongside, same era.
S. Hosono, B. H. Lian, and S.-T. Yau, “Gkz generalized hypergeometric systems in mirror symmetry of calabi-yau hypersurfaces,” Commun. Math. Phys
American Mathematical Society, Providence, RI, 2011
D. A. Cox, J. B. Little, and H. K. Schenck, Toric varieties · 2011
Later among the works it cites.
2013
Later among the works it cites.
P. Vanhove, “The physics and the mixed Hodge structure of Feynman integrals,” Proc. Symp. Pure Math
2014
Later among the works it cites.
P. Vanhove, “The physics and the mixed Hodge structure of Feynman integrals,” Proc. Symp. Pure Math
2014
Later among the works it cites.
J. M. Henn, “Lectures on differential equations for Feynman integrals,” J. Phys
2015
alphaXiv searches the wider corpus for related work and actual follow-ups.
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1996
Cited alongside, same era.
O. V. Tarasov, “Connection between Feynman integrals having different values of the space-time dimension,” Phys. Rev
1996
Cited alongside, same era.
H. A. Verrill, “Root lattices and pencils of varieties,” J. Math. Kyoto Univ
1996
Cited alongside, same era.
S. Hosono, A. Klemm, S. Theisen, and S.-T. Yau, “Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces,” Nucl. Phys
1996
Cited alongside, same era.
de Gruyter, Berlin, 1996
V. V. Batyrev and L. A. Borisov, “On Calabi-Yau complete intersections in toric varieties,” in Higher-dimensional complex varieties (Trento, 1994) · 1996
Cited alongside, same era.
B. R. Greene, D. R. Morrison, and M. R. Plesser, “Mirror manifolds in higher dimension,” Commun. Math. Phys
1996
Cited alongside, same era.
P. Mayr, “Mirror symmetry, N=1 superpotentials and tensionless strings on Calabi-Yau four folds,” Nucl. Phys
1997
Cited alongside, same era.
A. Klemm, B. Lian, S. S. Roan, and S.-T. Yau, “Calabi-Yau fourfolds for M theory and F theory compactifications,” Nucl. Phys
1998
Cited alongside, same era.
Later among the works it cites.
A. Gerhardus and H. Jockers, “Quantum periods of Calabi–Yau fourfolds,” Nucl. Phys
2016
Later among the works it cites.
Birkhäuser/Springer, [Cham], 2016
G. Oberdieck and R. Pandharipande, “Curve counting on K 3 × E K3\times E , the Igusa cusp form χ 10 \chi_{10} , and descendent integration,” in K3 surfaces and their moduli · 2016
Later among the works it cites.
2017
Later among the works it cites.
S. Bloch, M. Kerr, and P. Vanhove, “Local mirror symmetry and the sunset Feynman integral,” Adv. Theor. Math. Phys
2017
Later among the works it cites.
2017
Later among the works it cites.
2017
Later among the works it cites.
H. Frellesvig and C. G. Papadopoulos, “Cuts of Feynman Integrals in Baikov representation,” JHEP
2017
Later among the works it cites.
J. Bosma, M. Sogaard, and Y. Zhang, “Maximal Cuts in Arbitrary Dimension,” JHEP
2017
Later among the works it cites.
2017
Later among the works it cites.
2018
Later among the works it cites.
Birkhäuser/Springer, Cham, 2018
A. Klemm, “The B-model approach to topological string theory on Calabi-Yau n-folds,” in B-model Gromov-Witten theory · 2018
Later among the works it cites.
Int. Press, Somerville, MA, 2018
D. van Straten, “Calabi-Yau operators,” in Uniformization, Riemann-Hilbert correspondence, Calabi-Yau manifolds & Picard-Fuchs equations · 2018
Later among the works it cites.
2018
Later among the works it cites.