Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model Export

@article{citeulike:4634202, abstract = {A complete geometrical classification of supersymmetric s-models is given. Extended supersymmetry requires covariantly constant complex structures, and Kahler and hyperkahler manifolds play a special role. As an application of the classification, it is shown that a particular class of these models is on-shell ultraviolet finite to all orders in perturbation theory.}, author = {Alvarez-Gaume, Luis and Freedman, Daniel Z.}, citeulike-article-id = {4634202}, citeulike-linkout-0 = {http://dx.doi.org/10.1007/BF01208280}, day = {1}, doi = {10.1007/BF01208280}, journal = {Communications in Mathematical Physics}, keywords = {kahler, supersymmetry}, month = {September}, number = {3}, pages = {443--451}, posted-at = {2009-05-26 01:24:15}, priority = {2}, title = {Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model}, url = {http://dx.doi.org/10.1007/BF01208280}, volume = {80}, year = {1981} }

TY - JOUR ID - citeulike:4634202 L3 - citeulike-article-id:4634202 N2 - A complete geometrical classification of supersymmetric s-models is given. Extended supersymmetry requires covariantly constant complex structures, and Kahler and hyperkahler manifolds play a special role. As an application of the classification, it is shown that a particular class of these models is on-shell ultraviolet finite to all orders in perturbation theory. IS - 3 JF - Communications in Mathematical Physics EP - 451 TI - Geometrical structure and ultraviolet finiteness in the supersymmetric σ-model VL - 80 SP - 443 KW - kahler KW - supersymmetry AU - Alvarez-Gaume, Luis AU - Freedman, Daniel PY - 1981/09/01/ UR - http://dx.doi.org/10.1007/BF01208280 ER -