Hopf Algebra Symmetry and String Theory

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dc.creatorAsakawa, Tsuguhiko
dc.creatorMori, Masashi
dc.creatorWatamura, Satoshi
dc.date2008-05-15
dc.date2008-11-04
dc.date.accessioned2026-07-07T10:15:06Z
dc.date.available2026-07-07T10:15:06Z
dc.descriptionWe investigate the Hopf algebra structure in string worldsheet theory and give a unified formulation of the quantization of string and the space-time symmetry. We reformulate the path integral quantization of string as a Drinfeld twist at the worldsheet level. The coboundary relation shows that the Drinfeld twist defines a module algebra which is equivalent to operators with normal ordering. Upon applying the twist, the space-time diffeomorphism is deformed into a twisted Hopf algebra, while the Poincaré symmetry is unchanged. This suggests a characterization of the symmetry: unbroken symmetries are twist invariant Hopf subalgebras, while broken symmetries are realized as twisted ones. We provide arguments that relate this twisted Hopf algebra to symmetries in path integral quantization.
dc.description35 pages, no figure, v2: references and comments added, typos corrected, v3: requires PTP style, title changed, final version published in PTP
dc.identifierhttps://arxiv.org/abs/0805.2203
dc.identifierhttp://arxiv.org/abs/0805.2203
dc.identifierProg. Theor. Phys. 120 (2008) 659-689
dc.identifierdoi:10.1143/PTP.120.659
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173072
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleHopf Algebra Symmetry and String Theory
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