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Probing dualities by index computation. Jaemo Park (Postech) In collaboration with Sangmo Cheon, Dongmin Kang, Seok Kim (AdS4/CFT3) 1102.4273[hep-th] Dongmin Kang, Eunkyung Koh, Kimeoyng Lee (mirror symmetry of N=4 + ….) Cheewoong Hwang, Hyeongchul Kim, Kyungjai Park - PowerPoint PPT Presentation
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Probing dualities by index computation
Jaemo Park (Postech) In collaboration with
Sangmo Cheon, Dongmin Kang, Seok Kim (AdS4/CFT3) 1102.4273[hep-th]
Dongmin Kang, Eunkyung Koh, Kimeoyng Lee(mirror symmetry of N=4 + ….)
Cheewoong Hwang, Hyeongchul Kim, Kyungjai Park
(Seiberg-like dualities)Budapest, 06.24.2011
Outlines
1. Motivation2. Superconformal Index formulae3. Seiberg like dualities4. Mirror symmetry and N=4 super
Chern-Simons5. Conclusions and Future directions
Motivation
• Lots of interesting questions in field theory/string theory begs the understanding of the strong coupling
behavior• Dualities provide a useful framework (strong coupling -> weak couping) but difficult to prove• Index is useful, it can probe the strong coupling behavior• Interested in dualities for 3d field theories such as Seiberg-like dualities, mirror symmetry and AdS4/CFT3
Conclusions and Future directions
• Index is useful to probe the strong-weak dualities and gives the impressive
evidences for the dualities• Analytic proofs should be attempted and need better understanding of
underlying structures• Will try better understanding of
AdS4/CFT3 with N=2 supersymmetry