The moduli space of N=2 super-Riemann spheres with tubes

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dc.creatorBarron, Katrina
dc.date2006-08-07
dc.date2007-03-08
dc.date.accessioned2026-07-07T07:50:37Z
dc.date.available2026-07-07T07:50:37Z
dc.descriptionWithin the framework of complex supergeometry and motivated by two-dimensional genus-zero holomorphic N=2 superconformal field theory, we define the moduli space of N=2 super-Riemann spheres with oriented and ordered half-infinite tubes (or equivalently, oriented and ordered punctures, and local superconformal coordinates vanishing at the punctures), modulo N=2 superconformal equivalence. We develop a formal theory of infinitesimal N=2 superconformal transformations based on a representation of the N=2 Neveu-Schwarz algebra in terms of superderivations. In particular, via these infinitesimals we present the Lie supergroup of N=2 superprojective transformations of the N=2 super-Riemann sphere. We give a reformulation of the moduli space in terms of these infinitesimals. We introduce generalized N=2 super-Riemann spheres with tubes and discuss some group structures associated to certain moduli spaces of both generalized and non-generalized N=2 super-Riemann spheres. We define an action of the symmetric groups on the moduli space. Lastly we discuss the nonhomogeneous (versus homogeneous) coordinate system associated to N=2 superconformal structures and the corresponding results in this coordinate system.
dc.description73 pages; to appear in Communications in Contemporary Mathematics; some errors and minor typos corrected
dc.identifierhttps://arxiv.org/abs/math/0608180
dc.identifierhttp://arxiv.org/abs/math/0608180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125224
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject17B68; 17B81; 53Z05; 81R10; 81T40; 81T60
dc.titleThe moduli space of N=2 super-Riemann spheres with tubes
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