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Multiple M2-branes and generalized 3-Lie algebras
We propose a generalization of the Bagger-Lambert-Gustavsson action as a candidate for the description of an arbitrary number of M2-branes. The action is formulated in terms of N=2 superfields in
Fuzzy scalar field theory as a multitrace matrix model
An analytical approach to scalar field theory on the fuzzy sphere based on considering a perturbative expansion of the kinetic term to integrate out the angular degrees of freedom in the hermitian matrices encoding the scalarField.
The Multitrace Matrix Model of Scalar Field Theory on Fuzzy CP^n
A high-temperature expansion of scalar quantum field theory on fuzzy CP^n to third order in the inverse temperature is performed using group theoretical methods and this result is rewritten as a multitrace matrix model.
L∞‐Algebras of Classical Field Theories and the Batalin–Vilkovisky Formalism
We review in detail the Batalin–Vilkovisky formalism for Lagrangian field theories and its mathematical foundations with an emphasis on higher algebraic structures and classical field theories. In
Quantized Nambu–Poisson manifolds and n-Lie algebras
We investigate the geometric interpretation of quantized Nambu–Poisson structures in terms of noncommutative geometries. We describe an extension of the usual axioms of quantization in which
Non-Abelian Tensor Multiplet Equations from Twistor Space
We establish a Penrose–Ward transform yielding a bijection between holomorphic principal 2-bundles over a twistor space and non-Abelian self-dual tensor fields on six-dimensional flat space-time.
Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space
We construct manifestly superconformal field theories in six dimensions which contain a non-Abelian tensor multiplet. In particular, we show how principal 3-bundles over a suitable twistor space
The topological B-model on fattened complex manifolds and subsectors of Script N = 4 self-dual Yang-Mills theory
In this paper, we propose so-called fattened complex manifolds as target spaces for the topological B-model. We naturally obtain these manifolds by restricting the structure sheaf of the = 4
The topological B-model on a mini-supertwistor space and supersymmetric Bogomolny monopole equations
In the recent paper [1], it was argued that the open topological B-model whose target space is a complex (2|4)-dimensional mini-supertwistor space with D3- and D1-branes added corresponds to a super
On Supertwistors, the Penrose-Ward Transform and N=4 super Yang-Mills Theory
It was recently shown by Witten that B-type open topological string theory with the supertwistor space CP 3|4 as a target space is equivalent to holomorphic Chern-Simons (hCS) theory on the same