1 / 25

AdS4/CFT3 correspondence and Chern-Simons gauge theories

AdS4/CFT3 correspondence and Chern-Simons gauge theories. Jaemo Park (Postech ) Yong Pyong 2010. 02.25. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A A A A A A. Outline. Motivation and some history 2. N=4 theories via N=1 Formalism

hisano
Download Presentation

AdS4/CFT3 correspondence and Chern-Simons gauge theories

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. AdS4/CFT3 correspondence and Chern-Simons gauge theories Jaemo Park (Postech ) Yong Pyong 2010. 02.25 TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAAAA

  2. Outline • Motivation and some history 2. N=4 theories via N=1 Formalism 3. N=2 formalism and M2 Theories for generic toric singulraities 5. Monopole solutions of ABJM and nonperturbative tests of M2 theory 6. BPS spectrum and monopole operators 7. Future directions

  3. Construction of N=4 theories

  4. Possible configurations

  5. N=2(4 supercharges) formalism

  6. 4d-3d correspondence

  7. Evidences of AdS4/CFT3 • Moduli space • index computation (Bhattacharaya, Minwalla N=6; Choi, Lee, Song N=5,4, Kim N=6) • Graviton exchange with nonzero angular momentum • Matching BPS operators and spectrum

  8. Monopole solutions in ABJM andnonperturbative test of M2 brane theory

  9. Monopole amplitude matches with the graviton exchange with nonzero angular momentum (Analogue of Polchinski, Pouliot of membrane scattering in matrix theory) • It is interesting to work out the prefactor as well. (cf. Baek, Hyun, Jang, Yi)

  10. BPS operators • In Chern-Simons matter theory, this involves the monopole operator • These operators in field theory could describe nonperturbative objects (e.g. giant gravitons, D2-D0 bound states)

  11. D4 brane ~ dibaryon oprator det (due to subtle quantization condition)

  12. Conclusions and Future Directions • Construct various CS gauge theories which can describe M2 brane theories and provide several evidences for them • Should provide more evidences for AdS4/CFT3 • Algorithm of constructing N=2 theories for M2 branes in an arbitrary CY4 singularities • Wilson loop evaluation • Beyond the chiral rings for N=2 theories • Integrability structures?

More Related