Topological Charges of Noncommutative Soliton

Abstract

The noncommutative soliton is characterized by the use of the projection operators in non-commutative space. By using the close relation with the K-theory of $C^{\ast }$-algebra, we consider the variations of projection operators along the commutative directions and identify their topological charges. When applied to the string theory, it gives the modification of the brane charges due to tachyon background.

12 pages, LaTeX; Ver.2 corrected typos; Ver.3 added a few references

References in corpus (6)

• Noncommutative Solitons
• Universality of the Tachyon Potential
• Tachyon condensation in string field theory
• Noncommutative Tachyons
• D-branes and Strings as Non-commutative Solitons
• Instantons on Noncommutative R^4 and Projection Operators

Cited by in corpus (19)

• Tachyon Dynamics in Open String Theory
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Introduction to M(atrix) theory and noncommutative geometry
• Cosmological Creation of D-branes and anti-D-branes
• Noncommutative Tachyons and K-Theory
• Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• D-Branes, Tachyons and K-Homology
• Superconnections, Anomalies and Non-BPS Brane Charges
• BCFT and Sliver state
• Projection Operators and D-branes in Purely Cubic Open String Field Theory
• Identity Projector and D-brane in String Field Theory
• Geometric K-Homology of Flat D-Branes
• Cardy states, factorization and idempotency in closed string field theory
• Scalar Solitons on the Fuzzy Sphere
• A note on noncommutative scalar multisolitons
• KO-Homology and Type I String Theory
• On the Moduli Space of Noncommutative Multi-solitons at Finite Theta