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E6(6) exceptional Drinfel’d algebras
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Yuho Sakatani,
Daniel Thompson
Journal of High Energy Physics, Volume: 2021, Issue: 1
Swansea University Author:
Daniel Thompson
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DOI (Published version): 10.1007/jhep01(2021)020
Abstract
The exceptional Drinfel’d algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence, it provides an M-theoretic analogue of the way a Drinfel’d double encodes generalised T-dualities of strings. I...
| Published in: | Journal of High Energy Physics |
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| ISSN: | 1029-8479 |
| Published: |
Springer Science and Business Media LLC
2021
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa60618 |
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| Abstract: |
The exceptional Drinfel’d algebra (EDA) is a Leibniz algebra introduced to provide an algebraic underpinning with which to explore generalised notions of U-duality in M-theory. In essence, it provides an M-theoretic analogue of the way a Drinfel’d double encodes generalised T-dualities of strings. In this note we detail the construction of the EDA in the case where the regular U-duality group is E6(6). We show how the EDA can be realised geometrically as a generalised Leibniz parallelisation of the exceptional generalised tangent bundle for a six-dimensional group manifold G, endowed with a Nambu-Lie structure. When the EDA is of coboundary type, we show how a natural generalisation of the classical Yang-Baxter equation arises. The construction is illustrated with a selection of examples including some which embed Drinfel’d doubles and others that are not of this type. |
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| Keywords: |
Flux compactifications, M-Theory, String Duality, Superstring Vacua |
| College: |
Faculty of Science and Engineering |
| Funders: |
SCOAP3 |
| Issue: |
1 |