Algebraic Structure

Kang Sin Choi; Jihn E. Kim

doi:10.1007/978-3-030-54005-0_12

Algebraic Structure

Kang Sin Choi, Jihn E. Kim

Scranton Honors Program

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-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 language	English
Title of host publication	Lecture Notes in Physics
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	339-379
Number of pages	41
DOIs	https://doi.org/10.1007/978-3-030-54005-0_12
State	Published - 2020

Publication series

Name	Lecture Notes in Physics
Volume	954
ISSN (Print)	0075-8450
ISSN (Electronic)	1616-6361

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© 2020, Springer Nature Switzerland AG.

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10.1007/978-3-030-54005-0_12

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Algebraic Structure

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