Noncommutative Tachyons and K-Theory
arXiv:hep-th/0009030 · doi:10.1063/1.1377270
Abstract
We show that the relation between D-branes and noncommutative tachyons leads very naturally to the relation between D-branes and K-theory. We also discuss some relations between D-branes and K-homology, provide a noncommutative generalization of the ABS construction, and give a simple physical interpretation of Bott periodicity. In addition, a framework for constructing Neveu-Schwarz fivebranes as noncommutative solitons is proposed.
24 pages, Harvmac b-mode
References in corpus (17)
- Dielectric-Branes
- Noncommutative Solitons
- Tachyon couplings on non-BPS D-branes and Dirac-Born-Infeld action
- Tachyon Condensation in Superstring Field Theory
- D-branes, B-fields and twisted K-theory
- Noncommutative Tachyons
- A Note on Background Independence in Noncommutative Gauge Theories, Matrix Model and Tachyon Condensation
- Marginal and Relevant Deformations of N=4 Field Theories and Non-Commutative Moduli Spaces of Vacua
- D-branes and Strings as Non-commutative Solitons
- Level truncation and the tachyon in open bosonic string field theory
- D-Branes as Unstable Lumps in Bosonic Open String Field Theory
- Noncommutative Tachyons And String Field Theory
- Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model
- Lumps and P-branes in Open String Field Theory
- D-brane charges and K-homology
- Topological Charges of Noncommutative Soliton
- Deformation quantization as the origin of D-brane non-Abelian degrees of freedom
Cited by in corpus (62)
- Noncommutative Field Theory
- Tachyon Dynamics in Open String Theory
- Introduction to M(atrix) theory and noncommutative geometry, Part II
- Introduction to M(atrix) theory and noncommutative geometry
- Twisted K-theory and K-theory of bundle gerbes
- D-Brane Instantons and K-Theory Charges
- D-brane Deconstructions in IIB Orientifolds
- General Properties of Noncommutative Field Theories
- Cosmological Creation of D-branes and anti-D-branes
- D-branes, Matrix Theory and K-homology
- Chern character in twisted K-theory: equivariant and holomorphic cases
- Geometry of the Gauge Algebra in Noncommutative Yang-Mills Theory
- Some Comments on Branes, G-flux, and K-theory
- K-Theory from a physical perspective
- Topological Charge of U(1) Instantons
- Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
- Generalized complexes and string field theory
- Noncommutative Solitons and D-branes
- Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
- Tachyon Condensation on Noncommutative Torus
- On Exact Noncommutative BPS Solitons
- Non-Commutative Instantons and the Seiberg-Witten Map
- Noncommutative Solitons on Orbifolds
- Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
- D-Branes, Tachyons and K-Homology
- Tachyon condensation in unstable type I D-brane systems
- Superconnections, Anomalies and Non-BPS Brane Charges
- Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory
- Seiberg-Witten Monopole Equations on Noncommutative R^4
- Noncommutative Tachyon Kinks as D-branes from Unstable D-brane
- Twisted K-homology theory, twisted Ext-theory
- Noncommutative solitons on Kahler manifolds
- Geometric K-Homology of Flat D-Branes
- A Note on Non-Commutative Field Theory and Stability of Brane-Antibrane Systems
- K-Theory and S-Duality: Starting Over from Square 3
- Cardy states, factorization and idempotency in closed string field theory
- Holonomy on D-Branes
- D-branes and KK-theory in Type I String Theory
- Topology of the Gauge Group in Noncommutative Gauge Theory
- T-Duality as a Duality of Loop Group Bundles
- Quantum D-branes and exotic smooth R^4
- Noncommutative Instantons in Diverse Dimensions
- Topics on D-brane charges with B-fields
- A Note on Intersecting and Fluctuating Solitons in 4D Noncommutative Field Theory
- Domain Walls in Noncommutative Field Theories
- Topological Z_{N+1} Charges on Fuzzy Sphere
- Projector Equivalences in K theory and Families of Non-commutative Solitons
- Commutative Geometry for Non-commutative D-branes by Tachyon Condensation
- Operator algebra quantum homogeneous spaces of universal gauge groups
- Twisted K-theory, K-homology and bivariant Chern-Connes type character of some infinite dimensional spaces
- K-Theory, D-Branes and Ramond-Ramond Fields
- Exact Rolling Tachyon in Noncommutative Field Theory
- KO-Homology and Type I String Theory
- D-branes and -homology
- Remarks on Noncommutative Solitons
- Matrix Model and String Field Theory
- Gravitational monopoles, anomalies and M bundles
- Exotic smooth R^4, geometry of string backgrounds and quantum D-branes
- D-Branes in Noncommutative Field Theory
- Towards The Moduli Space of Extended Partial Isometries
- D-branes, KK-theory and duality on noncommutative spaces
- NS Fivebrane and Tachyon Condensation