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| Format: | Preprint |
| Published: |
2024
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| Online Access: | https://arxiv.org/abs/2410.19216 |
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| _version_ | 1866914988468207616 |
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| author | Kallosh, Renata |
| author_facet | Kallosh, Renata |
| contents | D-dimensional maximal supergravities type I with G/H coset spaces have global G-symmetry and local H symmetry, which can be gauge-fixed in symmetric or Iwasawa-type gauges. Maximal D-dimensional supergravities type II derived from higher dimensions without dualization have less local and global symmetries. In 4D, Gaillard-Zumino duality group Sp(56) enhances U-duality symmetry group $E_{7(7)}$. Using the Hamiltonian path integral, we show how extra symmetries beyond $E_{7(7)}$, serve to establish S-matrix equivalence of supergravities I and II in different gauges. Enhanced dualities are not available in D $> 4$. This is consistent with the existence of local H symmetry and global G symmetry anomalies and UV divergences in D $> 4$ supergravities, and with the absence of these anomalies and UV divergences, so far, in 4D ${\cal N}\geq 5$ supergravities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19216 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The role of Sp(2n) duality in quantum theory Kallosh, Renata High Energy Physics - Theory D-dimensional maximal supergravities type I with G/H coset spaces have global G-symmetry and local H symmetry, which can be gauge-fixed in symmetric or Iwasawa-type gauges. Maximal D-dimensional supergravities type II derived from higher dimensions without dualization have less local and global symmetries. In 4D, Gaillard-Zumino duality group Sp(56) enhances U-duality symmetry group $E_{7(7)}$. Using the Hamiltonian path integral, we show how extra symmetries beyond $E_{7(7)}$, serve to establish S-matrix equivalence of supergravities I and II in different gauges. Enhanced dualities are not available in D $> 4$. This is consistent with the existence of local H symmetry and global G symmetry anomalies and UV divergences in D $> 4$ supergravities, and with the absence of these anomalies and UV divergences, so far, in 4D ${\cal N}\geq 5$ supergravities. |
| title | The role of Sp(2n) duality in quantum theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.19216 |