Euclidean SYM Theories By Time Reduction And Special Holonomy Manifolds
نویسندگان
چکیده
Euclidean supersymmetric theories are obtained from Minkowskian theories by performing a reduction in the time direction. This procedure elucidates certain mysterious features of Zumino’s N=2 model in four dimensions, provides manifestly hermitian Euclidean counterparts of all non-mimimal SYM theories, and is also applicable to supergravity theories. We reanalyse the twists of the 4d N=2 and N=4 models from this point of view. Other applications include SYM theories on special holonomy manifolds. In particular, we construct a twisted SYM theory on Kähler 3-folds and clarify the structure of SYM theory on hyper-Kähler 4-folds. e-mail: [email protected] e-mail: [email protected] URA 14-36 du CNRS, associée à l’E.N.S. de Lyon, et à l’Université de Savoie
منابع مشابه
D - Brane Probes of Special Holonomy Manifolds , and Dynamics of N = 1 Three - Dimensional Gauge Theories
Using D2-brane probes, we study various properties of M-theory on singular, non-compact manifolds of G2 and Spin(7) holonomy. We derive mirror pairs of N = 1 supersymmetric three-dimensional gauge theories, and apply this technique to realize exceptional holonomy manifolds as both Coulomb and Higgs branches of the D2-brane world-volume theory. We derive a “G2 quotient construction” of non-compa...
متن کاملSpecial Geometry of Euclidean Supersymmetry II: Hypermultiplets and the c-map
We construct two new versions of the c-map which allow us to obtain the target manifolds of hypermultiplets in Euclidean theories with rigid N = 2 supersymmetry. While the Minkowskian para-c-map is obtained by dimensional reduction of the Minkowskian vector multiplet lagrangian over time, the Euclidean para-c-map corresponds to the dimensional reduction of the Euclidean vector multiplet lagrang...
متن کاملar X iv : 0 80 6 . 42 65 v 1 [ he p - th ] 2 6 Ju n 20 08 Relation Between Holonomy Groups in Superstrings , M and F - theories
We consider manifolds with special holonomy groups SU(3), G2 and Spin(7) as suitable for compactification of superstrings, M-theory and F-theory (with only one time) respectively. The relations of these groups with the octonions are discussed, reinforcing their role in the physics of string theory and duality. We also exhibit three triple exact sequences explaining the connections between the m...
متن کاملSupercoset CFT’s for String Theories on Non-compact Special Holonomy Manifolds
We study aspects of superstring vacua of non-compact special holonomy manifolds with conical singularities constructed systematically using soluble N = 1 superconformal field theories (SCFT’s). It is known that Einstein homogeneous spaces G/H generate Ricci flat manifolds with special holonomies on their cones ≃ R+ × G/H , when they are endowed with appropriate geometrical structures, namely, t...
متن کاملTwisted Connected Sums and Special Riemannian Holonomy
We give a new, connected-sum-like construction of Riemannian metrics with special holonomy G2 on compact 7-manifolds. The construction is based on a gluing theorem for appropriate elliptic partial differential equations. As a prerequisite, we also obtain asymptotically cylindrical Riemannian manifolds with holonomy SU(3) building up on the work of Tian and Yau. Examples of new topological types...
متن کامل