7 papers · 1 filter
Elliptic genera and E8 Bundles in odd dimensions
Siyao Liu, Yong Wang
This paper aims to derive new anomaly cancellation formulas by combining modular forms with E8 and E8*E8 bundles. To this end, we systematically twist and generalize known SL(2,Z)…
A Kastler-Kalau-Walze type theorem for the -twist of the Dirac operator with torsion
Jin Hong, Siyao Liu, Yong Wang
In this paper, we give a Lichnerowicz type formula for the -twist of the Dirac operator with torsion. And we prove a Kastler-Kalau-Walze type theorem for the -twist of the Di…
The bimetric spectral Einstein-Hilbert action and the Kastler-Kalau-Walze type theorem for Lorentz warped products
Siyao Liu, Yong Wang
In this paper, we define the bimetric spectral Einstein-Hilbert action which generalizes the spectral Einstein-Hilbert action. We compute the bimetric spectral Einstein-Hilbert act…
The general Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator
Siyao Liu, Yong Wang
In [21] and [22], we proved the Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator on 3-dimensional, 4-dimensional and 6-dimensional almost product Riemannia…
Anomaly cancellation formulas and E_8 bundles for almost complex manifolds
Siyao Liu, Yong Wang
In this paper, we extend the elliptic genus in [10] by the gauge group E_8 and the gauge group E_8*E_8. Then we prove that the generalized elliptic genus are the weak Jacobi forms.…
Anomaly cancellation and modularity: E8*E8*E8 case
Siyao Liu, Yong Wang, Yuchen Yang
In [5] and [19], the authors gave anomaly cancellation formulas for the gauge groups E8,E8*E8. In this paper, we mainly deal with the case of gauge group E8*E8*E8. Using the E8*E8*…
modular forms and anomaly cancellation formulas
Siyao Liu, Yong Wang
In [5], [6] and [8], the authors gave some modular forms over . In this note, we proceed with the study of cancellation formulas relating to the modular forms.