Exact solitons on noncommutative tori
arXiv:hep-th/0104090 · doi:10.1088/1126-6708/2001/08/002
Abstract
We construct exact solitons on noncommutative tori for the type of actions arising from open string field theory. Given any projector that describes an extremum of the tachyon potential, we interpret the remaining gauge degrees of freedom as a gauge theory on the projective module determined by the tachyon. Whenever this module admits a constant curvature connection, it solves exactly the equations of motion of the effective string field theory. We describe in detail such a construction on the noncommutative tori. Whereas our exact solution relies on the coupling to a gauge theory, we comment on the construction of approximate solutions in the absence of gauge fields.
22 pages, JHEP style, typos corrected and references improved
References in corpus (7)
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Introduction to M(atrix) theory and noncommutative geometry
- Komaba Lectures on Noncommutative Solitons and D-Branes
- Open string field theory without open strings
- String Field Theory Around the Tachyon Vacuum
- Noncommutative Solitons on Orbifolds
- Solitons on compact and noncompact spaces in large noncommutativity
Cited by in corpus (21)
- Tachyon Dynamics in Open String Theory
- Introduction to M(atrix) theory and noncommutative geometry
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Split string field theory I
- Exact Noncommutative KP and KdV Multi-solitons
- Noncommutative Solitons and D-branes
- ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
- Non-linear sigma-models in noncommutative geometry: fields with values in finite spaces
- Fuzzy Instantons
- Noncommutative solitons on Kahler manifolds
- Homological mirror symmetry on noncommutative two-tori
- A New Matrix Model for Noncommutative Field Theory
- Elliptic Algebra and Integrable Models for Solitons on Noncummutative Torus
- Unstable solitons on noncommutative tori and D-branes
- Matrix Quantum Mechanics and Soliton Regularization of Noncommutative Field Theory
- Field theoretic models on covariant quantum spaces
- A Remark On Field Theories On The Non-Commutative Torus
- Instantons, Fluxons and Open Gauge String Theory
- D-Branes in Noncommutative Field Theory
- On Projections in the Noncommutative 2-Torus Algebra
- D-branes on Noncommutative Orbifolds