Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes
Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes
Exact Results for 't Hooft Loops in Gauge Theories ... - Solvay Institutes
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Introduction Problem Def<strong>in</strong>itions Method Solution Result<br />
To <strong>in</strong>troduce hypermultiplet masses <strong>in</strong> OSp(2|4) theory on S 4 :<br />
1 gauge the flavor symmetry<br />
2 give expectation value to Φ 0 <strong>in</strong> the flavor vector multiplet<br />
Remark on our conventions<br />
In the OSp(2|4) theory on S 4<br />
• m is real <strong>for</strong> positivity of the action<br />
• <strong>in</strong> con<strong>for</strong>mal theory m = 0<br />
• under localization m relates to Ω-background m Ω of<br />
[Nekrasov’02] as<br />
m Ω = ɛ 1 + ɛ 2<br />
2<br />
+ im<br />
The usual complex scalar field <strong>in</strong> N = 2 vector multiplet on R 4<br />
corresponds to a pair of real fields on S 4 : Φ 0 and Φ 9 .<br />
Vasily Pestun Localization <strong>for</strong> ’t <strong>Hooft</strong> operators on S 4 8/35
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