Fiber-Base Duality and Global Symmetry Enhancement - INSPIRE

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Fiber-Base Duality and Global Symmetry Enhancement

Vladimir Mitev
(
- Humboldt U., Berlin, Inst. Math. and
- Humboldt U., Berlin
)
,
Elli Pomoni
(
- DESY and
- Natl. Tech. U., Athens
)
,
Masato Taki
(
- Nishina Ctr., RIKEN
)
,
Futoshi Yagi
(
- Korea Inst. Advanced Study, Seoul
)

Nov 10, 2014

61 pages

Published in:

JHEP 04 (2015) 052

Published: Apr 10, 2015

e-Print:

1411.2450 [hep-th]

DOI:

10.1007/JHEP04(2015)052

Report number:

DESY-14-212,
HU-Mathematik-2014-32,
HU-EP-14-48,
KIAS-P14066

View in:

reference search75 citations

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Abstract: (Springer)

We show that the 5D Nekrasov partition functions enjoy the enhanced global symmetry of the UV fixed point. The fiber-base duality is responsible for the global symmetry enhancement. For SU(2) with N

_{f}

≤ 7 flavors the fiber-base symmetry together with the manifest flavor SO(2N

_{f}

) symmetry generate the

{\mathrm{E}}_{N_{f+1}}

global symmetry, while in the higher rank case the manifest global symmetry of the two dual theories related by the fiber-base duality map generate the symmetry enhancement. The symmetry enhancement at the level of the partition function is manifest once we chose an appropriate reparametrization for the Coulomb moduli.

Note:

61 pages, 22 figures

Supersymmetry and Duality
Duality in Gauge Field Theories
Topological Strings
symmetry: global
symmetry: enhancement
duality
partition function
flavor
reparametrization
fixed point: ultraviolet

References(91)

Figures(22)

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