BROWSE

Related Scientist

Researcher

순수물리이론 연구단
순수물리이론 연구단
more info

Five-brane webs and highest weight representations

Cited 0 time in webofscience Cited 0 time in scopus
37 Viewed 19 Downloaded
Title
Five-brane webs and highest weight representations
Author(s)
Brice Bastian; Stefan Hohenegger
Publication Date
2017-12
Journal
JOURNAL OF HIGH ENERGY PHYSICS, v., no.12, pp. -
Publisher
SPRINGER
Abstract
We consider BPS-counting functions Z(N,M) of N parallel M5-branes probing a transverse Z(M) orbifold geometry. These brane web con fi gurations can be dualised into a class of toric non-compact Calabi-Yau threefolds which have the structure of an elliptic fi bration over (affine)A(N-1). We make this symmetry of Z(N,M) manifest in particular regions of the parameter space of the setup: we argue that for specific choices of the deformation parameters, the supercharges of the system acquire particular holonomy charges which lead to in fi nitely many cancellations among states contributing to the partition function. The resulting (simplified) Z(N,M) can be written as a sum over weights forming a single irreducible representation of the Lie algebra a(N-1) (or its affine counterpart). We show this behaviour explicitly for an extensive list of examples for specific values of (N, M) and generalise the arising pattern for generic con fi gurations. Finally, for a particular compact M5-brane setup we use this form of the partition function to make the duality N <-> M manifest. (c) The Authors.
URI
http://pr.ibs.re.kr/handle/8788114/4761
ISSN
1029-8479
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > Journal Papers (저널논문)
Files in This Item:
10.1007_JHEP12(2017)020.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse