Algebraic Structure

Kang Sin Choi, Jihn E. Kim

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In gauge theory, we understand matter and gauge fields by transformation under Lie algebras. We have seen that string theory naturally realizes such algebra. In heterotic string, momentum-winding quantum numbers provide representation of a state. Considering massive states and twisted states, this algebra is generalized it to the affine Lie algebra. It is generalized to twisted Lie algebra that describes twisted sector spectrum, which is a special feature in orbifold theory. Thus, it is crucial to understand the structure of the algebra.

Original languageEnglish
Title of host publicationLecture Notes in Physics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages339-379
Number of pages41
DOIs
StatePublished - 2020

Publication series

NameLecture Notes in Physics
Volume954
ISSN (Print)0075-8450
ISSN (Electronic)1616-6361

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