45 citations · 163 across the 30 of their papers we have counts for
30 papers
On a new filtration of the variational bicomplex
Siye Wu, Haoran Yang
We define a filtration on the variational bicomplex according to jet order. The filtration is preserved by the interior Euler operator, which is not a module homomorphism with resp…
BRST Noether Theorem and Corner Charge Bracket
Laurent Baulieu, Tom Wetzstein, Siye Wu
We provide a proof of the BRST Noether 1.5th theorem, conjectured in [JHEP 10 (2024) 055], for a broad class of rank-1 BV theories including supergravity and 2-form gauge theories.…
Quantisation of a Family of Phase Spaces
Siye Wu
We explain that when quantising phase spaces with varying symplectic structures, the bundle of quantum Hilbert spaces over the parameter space has a natural unitary connection. We…
The multi-degree of coverings on Lie groups
Haibao Duan, Siye Wu
We associate to each covering map of simple Lie groups a sequence of integers, called the multi-degree of the covering; extend Schubert calculus to evaluate the invariant; and appl…
Representations of fermionic star product algebras and the projectively flat connection
Siye Wu
We construct a family of fermionic star products generalising the fermionic Moyal product. The parameter space contains the polarisations necessary to define a quantum Hilbert spac…
Weyl Symmetry in Stochastic Quantum Gravity
Laurent Baulieu, Luca Ciambelli, Siye Wu
We propose that the gauge principle of d-dimensional Euclidean quantum gravity is Weyl invariance in its stochastic (d+1)-dimensional bulk. Observables are defined as depending onl…