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