Maxim Zabzine
This is me at work.
ReSearch Interests
Cool stuff with manifolds and geometry.
Current interests are
 The theory of everything
 My family
 Some not good stuff (smoke, drink, ...)
 The dreams about happy life
Teaching
I have taught the following three courses
Mathematical Methods of Physics
Mathematical Methods of Physics II
Geometrical Methods in Theoretical Physics
Useful Links
Physics
 arXiv ePrint archive
 Spires
 Front for the Mathematics ArXiv
 Today preprints – hepth
 Today preprints – math
 KEK Reports & Library
 MR Lookup
 Theoretical Physics, Uppsala
Information resources
News online
Books online
Contact
Maxim Zabzine
Department of Physics and Astronomy
Uppsala University
Box 516
SE75120 Uppsala
Sweden
phone: +46(0)18 471 3247
fax: +46(0)18 471 5999
email: maxim.zabzine@physics.uu.se
Recent Publications

Exact SUSY Wilson loops on S$^{3}$ from $q$Virasoro constraints
20190924arXiv:1909.10352
UUITP39/19
JHEP 1912 (2019) 121
by: Cassia, Luca (Uppsala U.) et al.
Abstract:
Using the ideas from the BPS/CFT correspondence, we give an explicit recursive formula for computing supersymmetric Wilson loop averages in 3d $\mathcal{N}=2$ YangMillsChernSimons $U(N)$ theory on the squashed sphere $S^3_b$ with one adjoint chiral and two antichiral fundamental multiplets, for specific values of ChernSimons level $\kappa_2$ and FayetIlliopoulos parameter $\kappa_1$. For these values of $\kappa_1$ and $\kappa_2$ the north ... 
Equivariant BatalinVilkovisky formalism
20190719arXiv:1907.07995
by: Bonechi, Francesco (INFN, Florence) et al.
Abstract:
We study an equivariant extension of the BatalinVilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation, and we apply it to the natural equivariant extension of AKSZ solutions of the classical master equation (CME). As examples of the construction, we recover the equivariant extension of supersymmetric YangMills in 2d and of DonaldsonWitten theory.... 
Transversally Elliptic Complex and Cohomological Field Theory
20190430arXiv:1904.12782
UUITP1619
by: Festuccia, Guido (Uppsala U.) et al.
Abstract:
This work is a continuation of our previous paper arXiv:1812.06473 where we have constructed ${\cal N}=2$ supersymmetric YangMills theory on 4D manifolds with a Killing vector field with isolated fixed points. In this work we expand on the mathematical aspects of the theory, with a particular focus on its nature as a cohomological field theory. The wellknown DonaldsonWitten theory is a twisted version of ${\cal N}=2$ SYM and can also be constructed using the Atiy... 
Twisting with a Flip (the Art of Pestunization)
20181218arXiv:1812.06473
by: Festuccia, Guido (Uppsala U.) et al.
Abstract:
We construct ${\cal N}=2$ supersymmetric YangMills theory on 4D manifolds with a Killing vector field with isolated fixed points. It turns out that for every fixed point one can allocate either instanton or antiinstanton contributions to the partition function, and that this is compatible with supersymmetry. The equivariant DonaldsonWitten theory is a special case of our construction. We present a unified treatment of Pestun's calculation on $S^4$ and equivariant DonaldsonWitten... 
Solving qVirasoro constraints
20181002arXiv:1810.00761
Lett.Math.Phys. 110 (2020) 179210
by: Lodin, Rebecca (Uppsala U.) et al.
Abstract:
We show how qVirasoro constraints can be derived for a large class of (q,t)deformed eigenvalue matrix models by an elementary trick of inserting certain qdifference operators under the integral, in complete analogy with fullderivative insertions for betaensembles. From freefield point of view the models considered have zero momentum of the highest weight, which leads to an extra constraint T_{1} Z = 0. We then show how to solve these qVi...