[图书][B] Poisson structures

C Laurent-Gengoux, A Pichereau, P Vanhaecke - 2012 - books.google.com
Poisson structures appear in a large variety of contexts, ranging from string theory,
classical/quantum mechanics and differential geometry to abstract algebra, algebraic …

Non‐geometric fluxes in supergravity and double field theory

D Andriot, O Hohm, M Larfors, D Lüst… - Fortschritte der …, 2012 - Wiley Online Library
In this paper we propose ten‐dimensional realizations of the non‐geometric fluxes Q and R.
In particular, they appear in the NSNS Lagrangian after performing a field redefinition that …

Lectures on curved beta-gamma systems, pure spinors, and anomalies

N Nekrasov - arXiv preprint hep-th/0511008, 2005 - arxiv.org
The curved beta-gamma system is the chiral sector of a certain infinite radius limit of the non-
linear sigma model with complex target space. Naively it only depends on the complex …

Multiloop superstring amplitudes from non-minimal pure spinor formalism

N Berkovits, N Nekrasov - Journal of High Energy Physics, 2006 - iopscience.iop.org
Using the non-minimal version of the pure spinor formalism, manifestly super-Poincaré
covariant superstring scattering amplitudes can be computed as in topological string theory …

General Yang–Mills type gauge theories for p-form gauge fields: From physics-based ideas to a mathematical framework or From Bianchi identities to twisted Courant …

M Grützmann, T Strobl - … Journal of Geometric Methods in Modern …, 2015 - World Scientific
Starting with minimal requirements from the physical experience with higher gauge theories,
ie gauge theories for a tower of differential forms of different form degrees, we discover that …

Lectures on AKSZ sigma models for physicists

N Ikeda - Noncommutative Geometry and Physics 4, 2017 - World Scientific
This is an introductory review of topological field theories (TFTs) called AKSZ sigma models.
The AKSZ construction is a mathematical formulation for the construction and analysis of a …

The BV action of 3D twisted R-Poisson sigma models

A Chatzistavrakidis, N Ikeda, G Šimunić - Journal of High Energy Physics, 2022 - Springer
A bstract We determine the solution to the classical master equation for a 3D topological
field theory with Wess-Zumino term and an underlying geometrical structure of a twisted R …

BV and BFV for the H-twisted Poisson sigma model

N Ikeda, T Strobl - Annales Henri Poincaré, 2021 - Springer
We present the BFV and the BV extension of the Poisson sigma model (PSM) twisted by a
closed 3-form H. There exist superfield versions of these functionals such as for the PSM …

Drinfel'd double of bialgebroids for string and M theories: dual calculus framework

A Çatal-Özer, K Doğan, C Yetişmişoğlu - Journal of High Energy Physics, 2024 - Springer
A bstract We extend the notion of Lie bialgebroids for more general bracket structures used
in string and M theories. We formalize the notions of calculus and dual calculi on algebroids …

Pure spinors on Lie groups

A Alekseev, H Bursztyn, E Meinrenken - arXiv preprint arXiv:0709.1452, 2007 - arxiv.org
For any manifold M, the direct sum TM\oplus T* M carries a natural inner product given by
the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for …