Integral geometry methods on deformed categories in field theory II
Integral geometry methods on deformed categories in field theory II
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场论中变形范畴的积分几何方法 II
DOI：
10.11648/j.pamj.s.2014030602.11
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
F. Bulnes
中科院分区：
文献类型：
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作者：
F. Bulnes
将积分几何方法应用于变形范畴，得到几何Langlands规划中的对应关系，构造了模栈的几何对象与相应范畴的代数对象及其L_（g -opers）之间的due等价关系，刻画了H^0 (g[[z]],V_critical)=C[Op_LG (D^X)]等属于上同调环境下的场理论方程的解类在积分变换框架下的自然性质对祖克曼函子的推广，这将有助于得到哈里什-钱德拉推导的束的泛函子的不同因子到镜面对称的朗兰兹几何规划。存在的宇宙学问题是减少在相同规范场（Verma模）下可解的场方程的数量，并使用定义它们相互作用的拓扑群对称性将规范解扩展到其他领域。这一扩展可由充分模堆上的Hecke束范畴H_(G^^)∞与具有特殊连接（Deligne连接）的全纯L_（G-）束范畴之间的全局朗兰兹对应给出。相应的模可以看作是在共形场论的框架中自然产生的共形块（或共不变量）（彭罗斯变换的广义版下的像）。
The integral geometry methods are applied on deformed categories to obtain correspondences in the geometrical Langlands program and construct the due equivalences between geometrical objects of the moduli stacks and algebraic objects of the corresponding categories and their L_(G-opers) characterizing the solution classes to field theory equations in the belonging cohomological context such as H^0 (g[[z] ],V_critical )=C[Op_LG (D^X)] which is natural in the framework of the integral transforms to the generalizing of the Zuckerman functors that will be useful to the obtaining of the different factors of the universal functor of derived sheaves of Harish-Chandra to the Langlands geometrical program in mirror symmetry. The cosmological problem that exists is to reduce the number of field equations that are resoluble under the same gauge field (Verma modules) and to extend the gauge solutions to other fields using the topological groups symmetries that define their interactions. This extension can be given by a global Langlands correspondence between the Hecke sheaves category H_(G^^ ) ∞ on an adequate moduli stack and the holomorphic L_(G-) bundles category with a special connection (Deligne connection). The corresponding 〖D 〗_-modules may be viewed as sheaves of conformal blocks (or co-invariants) (images under a generalized version of the Penrose transform) naturally arising in the framework of conformal field theory.
QFT 的范畴和微分上同调
DOI：
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发表时间：
2022
期刊：
影响因子：
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作者：
Naoki Endo;Shiro Goto;and Ryotaro Isobe;Mayuko Yamashita
通讯作者：
Mayuko Yamashita