Lectures on generalized complex geometry and supersymmetry
作者： Maxim Zabzine
DOI:
关键词:
摘要: These are the lecture notes from 26th Winter School “Geometry and Physics", Czech Republic, Srni, January 14 – 21, 2006. lectures an introduction into realm of generalized geometry based on tangent plus cotangent bundle. In particular we discuss relation this to physics, namely two-dimensional field theories. We explain in detail between complex supersymmetry. briefly review Kahler Calabi-Yau manifolds their appearance physics.
unile.it 参考文章(20)
Nigel Hitchin, Brackets, forms and invariant functionals Asian Journal of Mathematics. ,vol. 10, pp. 541- 560 ,(2006) , 10.4310/AJM.2006.V10.N3.A3
Vasily Pestun, Topological strings in generalized complex space Advances in Theoretical and Mathematical Physics. ,vol. 11, pp. 399- 450 ,(2007) , 10.4310/ATMP.2007.V11.N3.A3
S.J. Gates, C.M. Hull, M. Roc̆ek, Twisted multiplets and new supersymmetric non-linear σ-models☆☆☆★ Nuclear Physics. ,vol. 248, pp. 157- 186 ,(1984) , 10.1016/0550-3213(84)90592-3
Iván Calvo, Supersymmetric WZ-Poisson Sigma Model and Twisted Generalized Complex Geometry Letters in Mathematical Physics. ,vol. 77, pp. 53- 62 ,(2006) , 10.1007/S11005-006-0080-8
Marco Gualtieri, Generalized complex geometry Annals of Mathematics. ,vol. 174, pp. 75- 123 ,(2011) , 10.4007/ANNALS.2011.174.1.3
Nigel Hitchin, Instantons, Poisson Structures and Generalized Kähler Geometry Communications in Mathematical Physics. ,vol. 265, pp. 131- 164 ,(2006) , 10.1007/S00220-006-1530-Y
Simon Lyakhovich, Maxim Zabzine, Poisson geometry of sigma models with extended supersymmetry Physics Letters B. ,vol. 548, pp. 243- 251 ,(2002) , 10.1016/S0370-2693(02)02851-4
Mariana Graña, Flux compactifications in string theory: A comprehensive review Physics Reports. ,vol. 423, pp. 91- 158 ,(2006) , 10.1016/J.PHYSREP.2005.10.008
Héctor J. Sussmann, Orbits of families of vector fields and integrability of distributions Transactions of the American Mathematical Society. ,vol. 180, pp. 171- 188 ,(1973) , 10.1090/S0002-9947-1973-0321133-2
Nigel Hitchin, Generalized Calabi-Yau manifolds Quarterly Journal of Mathematics. ,vol. 54, pp. 281- 308 ,(2003) , 10.1093/QJMATH/54.3.281