Monopoles and strings in noncommutative gauge theory

By D. Gross, N. Nekrasov. 2000

153 citations recorded by the source corpus.

We study some non-perturbative aspects of non-commutative gauge theories. We find analytic solutions of the equations of motion, for non-commutative U(1) gauge theory, that describe magnetic monopoles with a finite tension string attached. These solutions are non singular, finite and sourceless. We identify the string with the projection of a D-string ending on a D3-brane in the presence of a constant B-field.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/e5da0285bca1df012042ed736d6c13be98867420

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. N. Nekrasov
2. Michael R Douglas
3. A. Schwarz
4. A. Konechny
5. Rajesh Gopakumar
6. D. Gross
7. Andrew Strominger
8. Mina Aganagic

In Nuclear and High Energy Physics

1. Michael R Douglas
2. N. Nekrasov
3. E. Witten
4. C. Vafa
5. A. Schwarz
6. A. Konechny
7. Rajesh Gopakumar
8. Mina Aganagic

In Statistical and Nonlinear Physics

1. Michael R Douglas
2. N. Nekrasov
3. Mina Aganagic
4. A. Schwarz
5. A. Konechny
6. Rajesh Gopakumar
7. D. Gross
8. R. Szabo

Citations in the corpus

• Noncommutative field theory (2001, methodology): “We proceed to discuss analogous solutions in the noncommutative gauge theory (Nekrasov and Schwarz 1998; Polychronakos 2000; Gross and Nekrasov 2000a; Aganagic, Gopakumar, Minwalla, and Strominger 2001; Bak 2000).”
• Trieste lectures on solitons in noncommutative gauge theories (2000, background): “ing theory Open strings carry gauge fields. This follows from the presence in the spectrum of the allowed vertex operators of the operator of the following simple form: ei(p) : ∂txieip·x:←→A= Ai(x)dxi (39) It hasdimension 1and deformsthe worldsheetconformalfieldtheoryasfollows: S= S0 −i I ∂Σ dtAi(x)∂t”
• Solitons in noncommutative gauge theory (2000, methodology): “In previous papers we constructed and analyzed classical solitons of noncommutative gauge theories [10], [11].”
• Introduction to M(atrix) theory and noncommutative geometry (2000, background): “The monopole solutions on noncommutative plane are studied in [25], [29], [38].”
• Unstable solitons in noncommutative gauge theory (2000, background): “This is to be contrasted with the Gross-Nekrasov string soliton [3,4] which may be interpreted as a D-string piercing (or ending on) the D3-brane at an angle.”