We develop an analytical approach to scalar field theory on the fuzzy sphere based on considering a perturbative expansion of the kinetic term. This expansion allows us to integrate out the angular… (More)

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 N = 4… (More)

In the recent paper hep-th/0502076, it was argued that the open topological Bmodel whose target space is a complex (2|4)-dimensional mini-supertwistor space with D3and D1-branes added corresponds to… (More)

We perform a high-temperature expansion of scalar quantum field theory on fuzzy CP to third order in the inverse temperature. Using group theoretical methods, we rewrite the result as a multitrace… (More)

We give a simplified formula for the star product on CPnL, which enables us to define a twist element suited for discussing a Drinfeld twist like structure on fuzzy complex projective spaces. The… (More)

We first review the description of flag manifolds in terms of Plücker coordinates and coherent states. Using this description, we construct fuzzy versions of the algebra of functions on these spaces… (More)

We construct two matrix models from twistor string theory: one by dimensional reduction onto a rational curve and another one by introducing noncommutative coordinates on the fibres of the… (More)

We construct a new supertwistor space suited for establishing a Penrose-Ward transform between certain bundles over this space and solutions to the N = 8 super Yang-Mills equations in three… (More)

We extend the analysis of hep-th/0408069 on a Lorentz invariant interpretation of noncommutative spacetime to field theories on non-anticommutative superspace with half the supersymmetries broken. By… (More)

We study extended Berezin and Berezin-Toeplitz quantization for compact Kähler manifolds, two related quantization procedures which provide a general framework for approaching the construction of… (More)