• 検索結果がありません。

BRANES ON G-MANIFOLDS

N/A
N/A
Info
ダウンロード
Protected

Academic year: 2022

シェア "BRANES ON G-MANIFOLDS"

Copied!
1
0
0

読み込み中.... (全文を見る)

今ダウンロードする ( 1 ページ )

全文

(1)

JGSP43(2017) 47–71

BRANES ON G-MANIFOLDS

ANDRÉS VIÑA

Communicated by Vasil V. Tsanov

Abstract. LetXbe Calabi-Yau manifold acted by a groupG. We give a definition ofG-equivariance for branes onX, and assign to each equivariant brane an element of the equivariant cohomology ofXthat can be considered as a charge of the brane.

We prove that the spaces of strings stretching between equivariant branes support representations ofG. This fact allows us to give formulas for the dimension of some of such spaces, whenXis a flag manifold ofG.

MSC: 57S20, 55N91, 14F05

Keywords:B-branes, equivariant cohomology, derived categories of sheaves

Contents

1 Introduction 47

2 Equivariant Branes 50

2.1 Equivariant sheaves . . . 50 2.2 Vertex Operators . . . 53 2.3 Correlation Functions . . . 59

3 Cohomology of Equivariant Branes 60

3.1 Equivariant Charges . . . 62

4 Appendix 68

References 70

1. Introduction

Let X be a compact Kähler n-manifold analytically acted by a Lie group G. Some objects related with X admit an “equivariant" version, when they are equipped with a G-action compatible with its structure, for example, the equivariant vector bundles on X.

doi: 10.7546/jgsp-43-2017-47-71

47

参照

今ダウンロードする ( PDF - 1 ページ - 195.01 KB )

関連したドキュメント

An intrinsic definition of the Colombeau generalized functions

The aim of Colombeau’s paper [5] was to avoid the drawback that the embed- ding of the space D ′ of the Schwartz distributions into the algebra (and sheaf) of Colombeau

Let A be a subset of (X, τ)

The purpose of this paper is to introduce and study the concepts of two new class of maps, namely sg-continuous maps, which includes the class of continuous maps; and the class

We can recursively define a binary operation + on the collection of game positions by G+H ={GL+H, G+HL|GR+H, G+HR}and an involution−by−G={−GR| −GL}

Now, it is all well and good to find such a position on a chessboard with pieces that look like chess pieces, but this is not chess; there are no kings on the board, but even if

A NOTE ON THE NUMBER OF DERANGEMENTS ∗

Wang, A probabilistic interpretation to umbral calculus, Journal of Mathematical Research & Exposition.,

3. The definition of the dual

The only thing left to observe that (−) ∨ is a functor from the ordinary category of cartesian (respectively, cocartesian) fibrations to the ordinary category of cocartesian

On the Stability of a Generalized

Eskandani, “Stability of a mixed additive and cubic functional equation in quasi- Banach spaces,” Journal of Mathematical Analysis and Applications, vol.. Eshaghi Gordji, “Stability

ON THE DEFINITION OF A CLOSE-TO-CONVEX FUNCTION

In this note we prove that for each in the open interval (-/2,/2) there is a corresponding function F(z) that should be regarded as close-to-convex, but would not be in CL if

In this paper the author gives necessary and sufficient conditions under which to a stable weak isometry f in a directed group G there exists a direct decomposition G= A×B ofG such thatf(x) =x(A)−x(B) for each x∈ G

Rach˚ unek [14] generalized the notion of the isometry for any partially ordered group (po-group).. In [11] it was proved that each stable weak isometry in a directed group is