MODULI SPACES OF NON-COMMUTATIVE INSTANTONS: GAUGING AWAY NON-COMMUTATIVE PARAMETERS

Non-Commutative Moduli Spaces and T-duality

We review and extend recent work on the application of the noncommutative geometric framework to an interpretation of the moduli space of vacua of certain deformations of N = 4 super Yang-Mills theories. We present a simple worldsheet calculation that reproduces the field theory results and sheds some light on the dynamics of the Dbrane bubbles. Different regions of moduli space are associated ...

Moduli Spaces of Noncommutative Instantons: Gauging Away Noncommutative Parameters Simon Brain and Giovanni Landi

Using the theory of noncommutative geometry in a braided monoidal category, we improve upon a previous construction of noncommutative families of instantons of arbitrary charge on the deformed sphere S θ . We formulate a notion of noncommutative parameter spaces for families of instantons and we explore what it means for such families to be gauge equivalent, as well as showing how to remove gau...

Integral Non - Commutative Spaces

Integral Non-commutative Spaces

A non-commutative space X is a Grothendieck category ModX. We say X is integral if there is an indecomposable injective X-module EX such that its endomorphism ring is a division ring and every X-module is a subquotient of a direct sum of copies of EX . A noetherian scheme is integral in this sense if and only if it is integral in the usual sense. We show that several classes of non-commutative ...

Non-Commutative Moduli Spaces, Dielectric Tori and T-duality

We review and extend recent work on the application of the noncommutative geometric framework to an interpretation of the moduli space of vacua of certain deformations of N = 4 super Yang-Mills theories. We present a simple worldsheet calculation that reproduces the field theory results and sheds some light on the dynamics of the Dbrane bubbles. Different regions of moduli space are associated ...