收稿日期: 2001-04-24
网络出版日期: 2001-01-10
基金资助
This project is supported in part by funds from National Natural Science Foundation of China and Pandeng
SOLITON AND EXACT SOLUTIONS IN NONCOMMUTATIVE FIELD THEORY
Received date: 2001-04-24
Online published: 2001-01-10
朱传界 . 非对易场论中的孤子解和严格解(英文)[J]. 中国科学院大学学报, 2001 , 18(1) : 12 -27 . DOI: 10.7523/j.issn.2095-6134.2001.1.004
We give an elementary introduction to the soliton and exact solutions in noncommutative field theory. Starting from a through discussion about the representations and some basisc calculations of the flat noncommutative space time, we introduce the concept of noncommutative field theory and proceed to find the soliton and exact solutions in these field theories. These solutions include the instantons and BPS solitons in theories with gauge fields. Applications of these solutions as describing the D branes in open bosonic string and superstring theories are also discussed.
Key words： soliton; instanton; D brane; noncommutative field theory; string theory
1 Nikit a A Nekrasov.Trieste Lectures on Solitons in Noncommutative G auge Theories.Hep-th / 0011095
2 A Konechny, A Schwarz.Introduction to M(atrix)Theory and Noncommutative G eomet ry.Hep-th/ 0012145
3 J A Harvey.Komaba Lectures on Noncommutative Solitons and D-Branes Komaba Lectures on Noncommutative Solitons and D-Branes.Hep-th/0102076
4 N Nekrasov, A Schwarz.Instantons on Noncommutative R4, and (2, 0)Superconformal Six Dimensional Theory.Commun Math Phys, 1998, 198:689 ～ 703, hep-th/ 9802068
5 N Nekrasov.Noncommutative Instantons Revi sited.Hep-th/0010017
6 Jeffrey A Harvey, Per Kraus, Finn Larsen.Exact Noncommutative Solitons.J High Energy Phys, 2000, 0012:024, hep-th/0010060
7 Rajesh Gopakumar, Shiraz Minwalla, Andrew Strominger.Noncommutative Solitons.J High Energy Phys 2000, 0005 :020, hep-th/0003160
8 M F Atiyah, R Bott, A Shapiro.Clifford Modules.Topology 3 supp1, 1964, 1 :3
9 Keshav Dasgupta, Suni l Mukhi, Govi ndan Rajesh.Noncommutative Tachyons.JHEP, 2000, 0006 :022, hep-th/ 0005006
10 Jeffrey A Harvey, Per Kraus, Finn Larsen, E J Maritinec.D-branes and Strings as Noncommutative Solitons.JHEP, 2000, 0007 :042, hep-th/0005031
11 A Sen.Stable Non-BPS Bound States of BPS D-branes.JHEP, 1998, 9808 :010, hep-th/9805019
12 A Sen.Descent Relations Among Bosonic D-branes.Int J Mod Phys, 1999, A 14 :4061 ～ 4078, hep-th/ 9902105
13 Nathan Seiberg, Edward Witten.String Theory and Noncommutative Geometry.JHEP, 1999, 9909 :032, hep-th/ 9908142
14 David J G ross, Nikita A N ekrasov.Monopoles and Strings in Noncommutative Gauge Theory.JHEP, 2000, 0007:034, hep-th/ 0005204
15 David J G ross, Nikita A N ekrasov.Dynamics of Strings in Noncommut ative Gauge Theory.JHEP, 2000, 0010 :021, hep-th/ 0007204
16 David J G ross, Nikita A N ekrasov.Solitons in Noncommut ative Gauge Theory.JHEP, 2001, 0103 :044, hep-th/ 0010090
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