Batalin–Vilkovisky Quantization and Supersymmetric Twists
نویسندگان
چکیده
We show that a family of topological twists supersymmetric mechanics with K\"ahler target exhibits Batalin--Vilkovisky quantization. Using this observation we make general proposal for the Hilbert space states after twist in terms cohomology certain perverse sheaf. give several examples resulting spaces including categorified Donaldson--Thomas invariants, Haydys--Witten theory and 3-dimensional A-model.
منابع مشابه
Quantization by Cochain Twists and Nonassociative Differentials
We show that several standard associative quantizations can be expressed as cochain module twists in the spirit of Moyal products, at least to O(~), but where the twist element is not a cocycle. This puts such quantisations induced by covariance groups into the setting of our previous work on semiclassicalisation of differential structures where we showed that that noncommutative geometry force...
متن کاملDrinfeld Twists and Symmetric Bethe Vectors of Supersymmetric Fermion Models
We construct the Drinfeld twists (factorizing F -matrices) of the gl(m|n)invariant fermion model. Completely symmetric representation of the pseudoparticle creation operators of the model are obtained in the basis provided by the F -matrix (the F -basis). We resolve the hierarchy of the nested Bethe vectors in the F -basis for the gl(m|n) supersymmetric model.
متن کاملDeformed matrix models , supersymmetric lattice twists and N = 14 supersymmetry
A manifestly supersymmetric nonperturbative matrix regularization for a twisted version of N = (8, 8) theory on a curved background (a two-sphere) is constructed. Both continuum and the matrix regularization respect four exact scalar supersymmetries under a twisted version of the supersymmetry algebra. We then discuss a succinct Q = 1 deformed matrix model regularization ofN = 4 SYM in d = 4, w...
متن کاملSupersymmetric Quantization of Gauge Theories
We develop a new operator quantization scheme for gauge theories in which the dynamics of the ghost sector is described by a N = 2 supersymmetry. In this scheme no gauge condition is imposed on the gauge fields. The corresponding path integral is explicitly Lorentz invariant and, in contrast to the BRST-BFV path integral in the Lorentz gauge, it is free of the Gribov ambiguity, i.e., it is also...
متن کاملSupersymmetric Quantum Mechanics from Light Cone Quantization
We study the supersymmetric quantum mechanical systems that arise from discrete light cone quantization of theories with minimal supersymmetry in various dimensions. These systems which have previously arisen in the study of black hole moduli spaces, are distinguished by having fewer fermionic fields than the familiar Kähler and hyper-Kähler models. This is a contribution to the Yuri Golfand me...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2023
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-023-04721-w