Tinkertoys for the Twisted $E_6$ Theory - INSPIRE

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Tinkertoys for the Twisted $E_6$ Theory

Oscar Chacaltana
(
- ICTP-SAIFR, Sao Paulo and
- Sao Paulo, IFT
)
,
Jacques Distler
(
- Texas U. and
- Texas U., TCC
)
,
Anderson Trimm
(
- Texas U. and
- Texas U., TCC
)

Jan 2, 2015

52 pages

e-Print:

1501.00357 [hep-th]

Report number:

ICTP–SAIFR/2015–001

View in:

ADS Abstract Service

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Abstract: (arXiv)

We study

4D

\mathcal{N}=2

superconformal field theories that arise as the compactification of the six-dimensional

(2,0)

theory of type

E_6

on a punctured Riemann surface in the presence of

\mathbb{Z}_2

outer-automorphism twists. We explicitly carry out the classification of these theories in terms of three-punctured spheres and cylinders, and provide tables of properties of the

\mathbb{Z}_2

-twisted punctures. An expression is given for the superconformal index of a fixture with twisted punctures of type

E_6

, which we use to check our identifications. Several of our fixtures have Higgs branches which are isomorphic to instanton moduli spaces, and we find that S-dualities involving these fixtures imply interesting isomorphisms between hyperKähler quotients of these spaces. Additionally, we find families of fixtures for which the Sommers-Achar group, which was previously a Coulomb branch concept, acts non-trivially on the Higgs branch operators.

Note:

52 pages, 56 figures

instanton: moduli space
field theory: conformal
dimension: 6
twist
compactification
Riemann surface
S-duality
Coulomb

References(37)

Figures(0)

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Abhijit Gadde
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)
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)
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)
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(
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)
,
Jacques Distler
(
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- Texas U.
)
,
Yuji Tachikawa
(
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)

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(
- ICTP-SAIFR, Sao Paulo and
- Sao Paulo, IFT
)
,
Jacques Distler
(
- Texas U., TCC
)
,
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(
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)

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Oscar Chacaltana
(
- ICTP-SAIFR, Sao Paulo and
- Sao Paulo, IFT
)
,
Jacques Distler
(
- Texas U., TCC and
- U. Texas, Austin (main)
)
,
Anderson Trimm
(
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- U. Texas, Austin (main)
)

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Oscar Chacaltana
(
- ICTP-SAIFR, Sao Paulo and
- Sao Paulo, IFT
)
,
Jacques Distler
(
- Texas U., TCC and
- U. Texas, Austin (main)
)
,
Anderson Trimm
(
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- U. Texas, Austin (main)
)

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)
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)
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,
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)
,
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(
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)
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,
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)
,
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(
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)

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(
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,
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,
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(
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,
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(
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)

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