MU08109 Gauge Fields and Strings

Mathematical Institute in Opava
Summer 2009
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Guaranteed by
doc. RNDr. Kristína Smítalová, CSc.
Mathematical Institute in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives (in Czech)
Úvod do metod teorie strun.
Syllabus (in Czech)
  • Supersymetriecké teorie pole, faktorové prostory, Atiyahovy-Hitchinovy variety, Seibergovo-Wittenovo řešení, Donaldsonova teorie, Seibergův-Wittenův invariant, konformní teorie pole ve dvou dimenzích, Polyakovův formalismus, strunové spektrum, BRST-kvantování, kritická dimenze, Riemannovy plochy, stromové amplitudy, jednosmyčkové amplitudy, modulární invariance, superstruny, supersymetrie v různých dimenzích, D-branes, M-theorie, konformní kvantová teorie pole, strunové kompaktifikace, Calabi-Yau variety. Algebraická geometrie v teorii strun. Torické geometrie, kvantové geometrie, struny v singularitách, konstrukce branes z kalibračních teorii.
Literature
    recommended literature
  • M. Greene, J. H. Schwarz, E. Witten. String theory, vol I, II. info
  • J. Polchinski. String theory, vol I, II, III. info
  • M. Nakahara. Geometry, Topology and Physics. Institute of Physics Publishing, 1990. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Summer 2000, Summer 2001, Summer 2002, Summer 2003, Summer 2004, Summer 2005, Summer 2006, Summer 2007, Summer 2008, Summer 2010, Summer 2011, Summer 2012.
  • Enrolment Statistics (Summer 2009, recent)
  • Permalink: https://is.slu.cz/course/sumu/summer2009/MU08109