In this project, we shall continue our ongoing investigation of solutions to the noncommutative self-dual Yang-Mills equations, Seiberg-Witten monopole equations and their descendants. This includes noncommutative vortices, solitons (lumps and waves), monopoles, instantons and pseudo-instantons in 2+0, 2+1, 3+0, 4+0 and 2+2 dimensions, respectively. Moreover, BPS solutions of the noncommutative Yang-Mills equations in higher dimensions (up to ten) will be constructed.
Magnus Goffeng and Olaf Lechtenfeld:
Noncommutative deformation of the Ward metric
arXiv:1205.0020 [hep-th] ()
André Fischer and Richard J. Szabo:
Propagators and matrix basis on noncommutative Minkowski space
arXiv:1106.6166 [hep-th] (Phys. Rev. D 84 (2011) 125010)
Theodora Ioannidou and Olaf Lechtenfeld:
Noncommutative baby skyrmions
pdf file
(Talk by T.I. at the Workshop on Noncommutative Field Theory and Gravity, Corfu Summer Institute on Elementary Particles and Physics, Corfu, Greece, 08-12 September 2010;
to appear as PoS(CNCFG2010)020)
Olaf Lechtenfeld and Marco Maceda:
The Kähler potential of the non-commutative CP1 model
pdf file
(Talk by M.M. at the IV Mexican Meeting on Experimental and Theoretical Physics: Symposium on Gravitation BEC's Phenomenology, Mexico City, Mexico, July 2010;
AIP Conference Proceedings Vol. 1318 (2010) 187-195)
Olaf Lechtenfeld and Marco Maceda:
On the non-commutative CP1 model
pdf file
(Talk by M.M. at the VIII School of the Gravitation and Mathematical Physics, Playa del Carmen, Quintana Roo, Mexico, December 2009;
AIP Conference Proceedings Vol. 1256 (2010) 208-212)
André Fischer and Richard J. Szabo:
UV/IR duality in noncommutative quantum field theory
arXiv:1001.3776 [hep-th]
(Talk by R.J.S. at three workshops/schools in 2009, Gen. Relativ. Gravit. 43 (2010) 2509-2522, DOI: 10.1007/s10714-010-1046-9)
Olaf Lechtenfeld and Marco Maceda:
The noncommutative Ward metric
arXiv:1001.3416 [hep-th] (SIGMA 6 (2010) 045)
Theodora Ioannidou and Olaf Lechtenfeld:
Noncommutative baby Skyrmions
arXiv:0905.4077 [hep-th] (Phys. Lett. B 678 (2009) 508)
Derek Harland and Seçkin Kürkçüoglu:
Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices
arXiv:0905.2338 [hep-th] (Nucl. Phys. B 821 (2009) 380-398)
André Fischer and Olaf Lechtenfeld
The noncommutative sine-Gordon breather
arXiv:0811.1048 [hep-th] (J. Math. Phys. 50 (2009) 095201)
André Fischer and Richard J. Szabo
Duality covariant quantum field theory on noncommutative Minkowski space
arXiv:0810.1195 [hep-th] (JHEP 0902 (2009) 031)
Seçkin Kürkçüoglu
Noncommutative Q-lumps
arXiv:0808.3745 [hep-th] (Phys. Rev. D 78 (2008) 105018)
Olaf Lechtenfeld, Alexander D. Popov and Richard J. Szabo
SU(3)-equivariant quiver gauge theories and nonabelian vortices
arXiv:0806.2791 [hep-th] (JHEP 0808(2008) 093)
Seçkin Kürkçüoglu:
Noncommutative nonlinear sigma models and integrability
arXiv:0804.3782 [hep-th] (Phys. Rev. D 78 (2008) 065020)
Alexander D. Popov:
Explicit non-abelian monopoles in SU(N) pure Yang-Mills theory
arXiv:0803.3320 [hep-th] ()
Sergei V. Ketov and Olaf Lechtenfeld
Non-anticommutative solitons
arXiv:0802.2867 [hep-th] (Phys. Lett. B 663 (2008) 353-359)
Alexander D. Popov:
Non-abelian vortices on Riemann surfaces: an integrable case
arXiv:0801.0808 [hep-th] ()
Alexander D. Popov:
Integrability of vortex equations on Riemann surfaces
arXiv:0712.1756 [hep-th] ()
Olaf Lechtenfeld:
Noncommutative solitons:
arXiv:0710.2074 [hep-th]
(Talk at the "Third Mexican Meeting on Mathematical and Experimental Physics'' at El Colegio Nacional, Mexico City, Mexico, 14-17 September 2007;
AIP Conference Proceedings Vol. 977, pp. 37-51)
Christian Gutschwager, Tatiana A. Ivanova and Olaf Lechtenfeld:
Scattering of noncommutative waves and solitons in a supersymmetric chiral model in 2+1 dimensions
arXiv:0710.0079 [hep-th] (JHEP 0711 (2007) 052)
I.L. Buchbinder, E.A. Ivanov, O. Lechtenfeld, I.B. Samsonov and B.M. Zupnik:
Gauge theory in deformed N=(1,1) superspace
arXiv:0709.3770 [hep-th] (Phys. Part. Nucl. 39 (2008) 759-797)
Seçkin Kürkçüoglu and Olaf Lechtenfeld:
Quantum aspects of the noncommutative sine-Gordon model
arXiv:0708.1310 [hep-th] (JHEP 0709 (2007) 020)
Olaf Lechtenfeld:
Supersymmetric noncommutative solitons
arXiv:0707.3522 [hep-th]
(Talk at "Noncommutative Spacetime Geometries" in Alessandria, Italy, 26-31 March 2007, and "Noncommutative Geometry and Physics" in Orsay, France, 23-27 April 2007;
Journal of Physics: Conference Series 103 (2008) 012016)
Aiyalam P. Balachandran, Kumar S. Gupta and Seçkin Kürkçüoglu:
Interacting quantum topologies and the quantum Hall effect
arXiv:0707.1219 [hep-th] ()
Olaf Lechtenfeld, Alexander D. Popov and Richard J. Szabo:
Quiver gauge theory and noncommutative vortices
arXiv:0706.0979 [hep-th]
(Talk by O.L. at the 21st Nishinomiya-Yukawa Memorial Symposium in Nishinomiya/Kyoto, Japan, 11-15 November 2006;
Proceedings: Prog. Theor. Phys. Suppl. 171 (2007) 258-268)
Stefan Petersen:
Abelian solitons in the noncommutative Ward model
(Talk by S.P. at the 21st Nishinomiya-Yukawa Memorial Symposium in Nishinomiya/Kyoto, Japan, 11-15 November 2006;
Proceedings: Prog. Theor. Phys. Suppl. 171 (2007) 223-227)
Olaf Lechtenfeld and Alexander D. Popov:
Noncommutative solitons in a supersymmetric chiral model in 2+1 dimensions
arXiv:0704.0530 [hep-th] (JHEP 0706 (2007) 065)
Johannes Brödel, Tatiana Ivanova and Olaf Lechtenfeld:
Construction of noncommutative instantons in 4k dimensions
hep-th/0703009 (Mod. Phys. Lett. A 23 (2008) 179-189)
I.L. Buchbinder, O. Lechtenfeld and I.B. Samsonov:
Vector-mutliplet effective action in the non-anticommutative charged hypermultiplet model
hep-th/0608048 (Nucl. Phys. B 758 (2006) 185-203)
Alexandra De Castro and Leonardo Quevedo:
Non-singlet Q-deformed N=(1,1) and N=(1,1/2) U(1) actions
hep-th/0605187 (Phys. Lett. B 639 (2006) 117-123)
Olaf Lechtenfeld:
Noncommutative solitons
hep-th/0605034
(150 minutes of lectures given 01-04 November 2005 at the International Sendai-Beijing Joint Workshop on Noncommutative Geometry and Physics;
Proceedings: pp. 175-200, World Scientific, 2007)
Michael Klawunn, Olaf Lechtenfeld and Stefan Petersen:
Moduli-space dynamics of noncommutative abelian sigma-model solitons
hep-th/0604219 (JHEP 0606 (2006) 028)
Olaf Lechtenfeld, Alexander D. Popov and Richard J. Szabo:
Rank two quiver gauge theory, graded connections and noncommutative vortices
hep-th/0603232 ()
Tatiana A. Ivanova and Olaf Lechtenfeld:
Noncommutative instantons on CPn
hep-th/0603125 (Phys. Lett. B 639 (2006) 407-410)
I. Buchbinder, E. Ivanov, O. Lechtenfeld, I. Samsonov and B. Zupnik:
Renormalizability of non-anticommutative N=(1,1) theories with singlet deformation
hep-th/0511234 (Nucl. Phys. B 740 (2006) 358-385)
Alexandra De Castro, Evgeny Ivanov, Olaf Lechtenfeld and Leonardo Quevedo:
Non-singlet Q-deformation of the N=(1,1) vector multiplet in harmonic superspace
hep-th/0510013 (Nucl. Phys. B 747 (2006) 1-24)
Chong-Sun Chu and Olaf Lechtenfeld:
Emergence of time from dimensional reduction in noncommutative geometry
hep-th/0508055 (Mod. Phys. Lett. A 21 (2006) 639-647)
Chong-Sun Chu and Olaf Lechtenfeld:
Time-space noncommutative abelian solitons
hep-th/0507062 (Phys. Lett. B 625 (2005) 145-155)
Matthias Ihl and Christian Sämann:
Drinfeld-twisted supersymmetry and non-anticommutative superspace
hep-th/0506057 (JHEP 0601 (2006) 065)
Alexander D. Popov and Richard J. Szabo
Quiver gauge theory of nonabelian vortices and noncommutative instantons in higher dimensions
hep-th/0504025 (J. Math. Phys. 47 (2006) 012306)
Robert Wimmer:
D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
hep-th/0502158 (JHEP 0505 (2005) 022)
Tatiana A. Ivanova and Olaf Lechtenfeld:
Noncommutative instantons in 4k dimensions
hep-th/0502117 (Phys. Lett. B 612 (2005) 65-74)
Andrei V. Domrin, Olaf Lechtenfeld and Stefan Petersen:
Sigma-model solitons in the noncommutative plane: construction and stability analysis
hep-th/0412001 (JHEP 0503 (2005) 045)
Olaf Lechtenfeld:
Noncommutative sine-Gordon model
hep-th/0409108
(Talk at the XIIIth International Colloquium Integrable Systems and Quantum Groups, Prague, 17-19 June 2004, and at the 37th International Symposium Ahrenshoop on the Theory of Elementary Particles, Berlin-Schmöckwitz, 23-27 August 2004:
Czech. J. Phys. 54 (2004) 1351-1357; Fortsch. Phys. 53 (2005) 500-505)
Evgenyi Ivanov, Olaf Lechtenfeld and Boris Zupnik:
Non-anticommutative deformation of N=(1,1) hypermultiplets
hep-th/0408146 (Nucl. Phys. B 707 (2005) 69-86)
Olaf Lechtenfeld, Liuba Mazzanti, Silvia Penati, Alexander D. Popov and Laura Tamassia:
Integrable noncommutative sine-Gordon model
hep-th/0406065 (Nucl. Phys. B 705 (2005) 477-503)
Sergio Ferrara, Evgeny Ivanov, Olaf Lechtenfeld, Emery Sokatchev and Boris Zupnik:
Non-anticommutative chiral singlet deformation of N=(1,1) gauge theory
hep-th/0405049 (Nucl. Phys. B 704 (2005) 154-180)
Tatiana A. Ivanova, Olaf Lechtenfeld and and Helge Müller-Ebhardt:
Noncommutative moduli for multi-instantons
hep-th/0404127 (Mod. Phys. Lett. A 19 (2004) 2419-2430)
Evgeny Ivanov, Olaf Lechtenfeld and Boris Zupnik:
Non-anticommutative N=(1,1) Euclidean superspace
hep-th/0402062
(Talk by E.I. at JINR workshop ``Supersymmetries and Quantum Symmetries'', Dubna, Russia, 24-29 July 2003;
Proceedings 2004: SQS'03, pp. )
Olaf Lechtenfeld:
Noncommutative instantons and solitons
hep-th/0401158
(talk at the 27th Johns Hopkins Workshop on Current Problems in Particle Theory, Göteborg, Sweden, 24-26 August 2003, and at the 36th International Symposium Ahrenshoop on the Theory of Elementary Particles, Berlin, Germany, 26-30 August 2003:
short version: Fortsch. Phys. 52 (2004) 596-605; long version: JHEP PRHEP-jhw2003/017)
Christian Sämann and Martin Wolf:
Constraint and super Yang-Mills equations on the deformed superspace Rh(4|16)
hep-th/0401147 (JHEP 0403 (2004) 048)
Olaf Lechtenfeld, Alexander D. Popov and Richard J. Szabo:
Noncommutative instantons in higher dimensions, vortices and topological K-cycles
hep-th/0310267 (JHEP 0312 (2003) 022)
Evgenyi Ivanov, Olaf Lechtenfeld and Boris Zupnik:
Nilpotent deformations of N=2 superspace
hep-th/0308012 (JHEP 0402 (2004) 012)
Olaf Lechtenfeld and Alexander D. Popov:
Noncommutative monopoles and Riemann-Hilbert problems
hep-th/0306263 (JHEP 0401 (2004) 069)
Tatiana A. Ivanova and Olaf Lechtenfeld:
Noncommutative multi-instantons on R2n x S2
hep-th/0305195 (Phys. Lett. B 567 (2003) 107-115)
Alexander D. Popov, Armen G. Sergeev and Martin Wolf:
Seiberg-Witten monopole equations on noncommutative R4
hep-th/0304263 (J. Math. Phys. 44 (2003) 4527-4554)
Matthias Ihl and Sebastian Uhlmann:
Noncommutative extended waves and soliton-like configurations in N=2 string theory
hep-th/0211263 (Int. J. Mod. Phys. A 18 (2003) 4889-4932)
Zalan Horvath, Olaf Lechtenfeld and Martin Wolf:
Noncommutative instantons via dressing and splitting approaches
hep-th/0211041 (JHEP 0212 (2002) 060)
Filip Franco-Sollova and Tatiana Ivanova:
On noncommutative merons and instantons
hep-th/0209153 (J. Phys. A 36 (2003) 4207-4219)
Martin Wolf:
Soliton-antisoliton scattering configurations in a noncommutative sigma model in 2+1 dimensions
hep-th/0204185 (JHEP 0206 (2002) 055)
Stig Bieling:
Interaction of noncommutative plane waves in 2+1 dimensions
hep-th/0203269 (J. Phys. A 35 (2002) 6281-6291)
Olaf Lechtenfeld and Alexander D. Popov:
Noncommutative 't Hooft instantons
hep-th/0109209 (JHEP 0203 (2002) 040)
Olaf Lechtenfeld and Alexander D. Popov:
Scattering of noncommutative solitons in 2+1 dimensions
hep-th/0108118 (Phys. Lett. B 523 (2001) 178-184)
Olaf Lechtenfeld and Alexander D. Popov:
Noncommutative multi-solitons in 2+1 dimensions
hep-th/0106213 (JHEP 0111 (2001) 040)
Olaf Lechtenfeld, Alexander D. Popov and Bernd Spendig:
Noncommutative solitons in open N=2 string theory
hep-th/0103196 (JHEP 0106 (2001) 011)