Noncommutative tachyons and K-theory

Jeffrey A. Harvey; Gregory Moore

doi:10.1063/1.1377270

Noncommutative tachyons and K-theory

Jeffrey A. Harvey, Gregory Moore

School of Arts and Sciences, Physics & Astronomy

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

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 five-branes as noncommutative solitons is proposed.

Original language	English (US)
Pages (from-to)	2765-2780
Number of pages	16
Journal	Journal of Mathematical Physics
Volume	42
Issue number	7
DOIs	https://doi.org/10.1063/1.1377270
State	Published - Jul 2001

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1377270

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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 five-branes as noncommutative solitons is proposed.",

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AB - 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 five-branes as noncommutative solitons is proposed.

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Noncommutative tachyons and K-theory

Abstract

All Science Journal Classification (ASJC) codes

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