@article {Iraso2019, title = {Two-Dimensional Yang{\textendash}Mills Theory on Surfaces with Corners in Batalin{\textendash}Vilkovisky Formalism}, journal = {Communications in Mathematical Physics}, year = {2019}, month = {Mar}, abstract = {

In this paper we recover the non-perturbative partition function of 2D Yang{\textendash}Mills theory from the perturbative path integral. To achieve this goal, we study the perturbative path integral quantization for 2D Yang{\textendash}Mills theory on surfaces with boundaries and corners in the Batalin{\textendash}Vilkovisky formalism (or, more precisely, in its adaptation to the setting with boundaries, compatible with gluing and cutting{\textendash}-the BV-BFV formalism). We prove that cutting a surface (e.g. a closed one) into simple enough pieces{\textendash}-building blocks{\textendash}-and choosing a convenient gauge-fixing on the pieces, and assembling back the partition function on the surface, one recovers the known non-perturbative answers for 2D Yang{\textendash}Mills theory.

}, issn = {1432-0916}, doi = {10.1007/s00220-019-03392-w}, url = {https://doi.org/10.1007/s00220-019-03392-w}, author = {Riccardo Iraso and Mnev, P.} } @article {2018, title = {Observables in the equivariant A-model}, number = {arXiv:1807.08659}, year = {2018}, url = {https://arxiv.org/abs/1807.08659}, author = {Bonechi, F. and Cattaneo, A.S. and Riccardo Iraso and Maxim Zabzine} } @article {Bonechi2016, title = {Comparing Poisson Sigma Model with A-model}, journal = {Journal of High Energy Physics}, volume = {2016}, number = {10}, year = {2016}, month = {Oct}, pages = {133}, abstract = {

We discuss the A-model as a gauge fixing of the Poisson Sigma Model with target a symplectic structure. We complete the discussion in [4], where a gauge fixing defined by a compatible complex structure was introduced, by showing how to recover the A-model hierarchy of observables in terms of the AKSZ observables. Moreover, we discuss the off-shell supersymmetry of the A-model as a residual BV symmetry of the gauge fixed PSM action.

}, issn = {1029-8479}, doi = {10.1007/JHEP10(2016)133}, url = {https://doi.org/10.1007/JHEP10(2016)133}, author = {Bonechi, F. and Cattaneo, A.S. and Riccardo Iraso} }