Cohomological field theories with Kähler structure
نویسندگان
چکیده
منابع مشابه
Cohomological Field Theories with Kähler Structure
Historically the cohomological field theory first has been introduced as a twisted version of global space-time supersymmetric quantum field theory, specifically the N = 2 supersymmetric Yang-Mills theory in four dimensional space-time [1]. The global space-time supersymmetry, by definition, requires the existence of a spinor which is constant everywhere on the space-time manifold M . A spinor ...
متن کاملMorphisms of Cohomological Field Theories
We introduce a notion of morphism of CohFT’s, on the basis of the analogy with A∞ morphisms, and discuss the relationship with morphisms of F -manifolds introduced by Manin and Hertling [5]. The structure maps of a morphism of CohFT’s have as input a cohomology class on the moduli space of scaled affine lines (complexified multiplihedron) studied in Ma’u-Woodward [9]. The main result is a compu...
متن کاملExtended Cohomological Field Theories and Noncommutative Frobenius Manifolds
We construct an extension (Stable Field Theory) of Cohomological Field Theory. The Stable Field Theory is a system of homomorphisms to some algebras generated by spheres and disks with punctures. It is described by a formal tensor series, satisfying to some system of ”differential equations”. In points of convergence the tensor series generate special noncommutative analogs of Frobenius algebra...
متن کاملTopological recursion for Gaussian means and cohomological field theories
We use the explicit relation between genus filtrated s-loop means of the Gaussian matrix model and terms of the genus expansion of the Kontsevich–Penner matrix model (KPMM), which is the generating function for volumes of discretized (open) moduli spaces M g,s (discrete volumes), to express Gaussian means in all genera as polynomials in special times weighted by ancestor invariants of an underl...
متن کاملInvertible Cohomological Field Theories and Weil–petersson Volumes
Abstract. We show that the generating function for the higher Weil–Petersson volumes of the moduli spaces of stable curves with marked points can be obtained from Witten’s free energy by a change of variables given by Schur polynomials. Since this generating function has a natural extension to the moduli space of invertible Cohomological Field Theories, this suggests the existence of a “very la...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Theoretical and Mathematical Physics
سال: 2000
ISSN: 1095-0761,1095-0753
DOI: 10.4310/atmp.2000.v4.n4.a3