Trieste lectures on solitons in noncommutative gauge theories

By N. Nekrasov. 2000

132 citations recorded by the source corpus.

We present a pedagogical introduction into noncommutative gauge theories, their stringy origin, and non-perturbative effects, including monopole and instanton solutions

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/fdbc433e8fba414528875165ebf928c530a4d95c

How researchers see this paper

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

In Mathematical Physics

1. Jeffrey A.Harvey
2. Michael R Douglas
3. R. Szabo
4. A. Schwarz
5. A. Konechny
6. N. Nekrasov
7. C. Vafa
8. E. Witten

In Nuclear and High Energy Physics

1. R. Szabo
2. Michael R Douglas
3. Jeffrey A.Harvey
4. A. Schwarz
5. A. Konechny
6. N. Nekrasov
7. Washington Taylor
8. E. Witten

In Statistical and Nonlinear Physics

1. R. Szabo
2. Michael R Douglas
3. Jeffrey A.Harvey
4. A. Schwarz
5. A. Konechny
6. N. Nekrasov
7. S. J. Tongeren
8. C. Vafa

Citations in the corpus

• Komaba Lectures on Noncommutative Solitons and D-Branes (2001, background): “More mathematically sophisticated reviews of solitons in noncommutative gauge theory which cover many topics not discussed here can found in [1,2].”
• Noncommutative field theory (2001, methodology): “They are ordinary differential equations and their analysis is somewhat intricate; we refer to (Nekrasov 2000) for this and approach the solution in a more elementary way.”
• Quantum field theory on noncommutative spaces (2001, background): “Solitons and instantons in noncommutative eld theory are reviewed in [45].”
• Introduction to M(atrix) theory and noncommutative geometry (2000, background): “ng to θ−1 s.d. = 1 2 (θ−1 +θ˜−1) = 0 f+ −f+ 0 , θ −1 a.s.d. = 1 2 (θ−1 − θ˜ ) 0 f− −f− . ∗Note that our choice of complex structure (47) is different from the one employed in [10], [11], [14], [1], and although the equation looks formally the same it corresponds to an antiinstanton versus an inst”
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters (2015, methodology): “Recall [40], [93], [99] that these solutions make use of Murray-von Neumann partial isometries S :H→H, which obey: (245) SS† = 1H, S †S = 1H −PK with PK an orthogonal projection onto a finite-dimensional subspace K ⊂ H.”