Various Aspects Various Aspects of the of the Gaiotto Gaiotto- - PowerPoint PPT Presentation

Various Aspects Various Aspects of the of the Gaiotto Gaiotto- -Tomasiello Tomasiello Theory Theory O-Kab O-Kab Kwon won S Sungkyunkwan University (SKKU) k k U i i (SKKU) In collaboration with Gyungchoon Go and Driba Tolla I ll b ti ith G h G d D ib T ll KIAS-YITP Joint workshop September September 20 September 20 September 20 – 24, 20 24, 24, 2011 24, 2011 2011 2011

Chern-Simons matter(CSM) theory   U(N)XU(N) gauge group ABJM Th ABJM Theory ABJM Th ABJM Theory  Chern-Simon levels k and –k (k1+k2=0)  effective action of M2-branes on Aharony-Bergman -Jafferis-Maldacena 2008  dual to M-theory on y and IIA string theory on CSM theories   U(N)XU(N) gauge group ( ) ( ) g g g p GT Theory G G GT Theory h h  Chern-Simon levels k and –k+F0 (k1+k2=F0) Gaiotto-Tomasiello 2009  brane interpretation and brane interpretation and [F jit [Fujita-Li-Ryu-Takayanagi 09] Li R T k i 09] dual gravity in M-theory  dual to massive IIA gravity  F0 is identified as the flux of D8-brane  F0 is identified as the flux of D8-brane (Romans mass)

N=3 GT N=3 GT Theory Theory SUSY preserving Nonrelativistic mass deformation superconformal theory [ OK T ll [ OK , Tolla, JHEP’11] JHEP’11] with 8 supercharges [Kawai, OK , Tolla] work in progress work in progress N=3 Super Yang-Mills Chern- g Simons theory (MP Higgsing ) [Go, OK , Tolla] work in progress

SUSY preserving mass deformation SUSY preserving mass deformation SUSY preserving mass deformation SUSY preserving mass deformation • Like the ABJM theory, the GT theory also allows maximal SUSY preserving mass deformation. • D-term deformation = F-term deformation up to field D term deformation F term deformation up to field redefinition for the case. • Vacuum solutions: V l ti

super YM CS theory (MP super YM CS theory (MP super YM CS theory (MP Higgsing super YM CS theory (MP Higgsing Higgsing) Higgsing) • Mukhi-Papageorgakis (MP) Higgsing mechanism is allowed only if the bosonic potential has a flat ll d l if th b i t ti l h fl t direction. MP Higgising • ABJM theory • ABJM theory super YM theory super YM theory IR conformal [Kapustin, Willet, Yaakov, 2010] [ p , , , ] • Flat direction of GT theory: N=3 GT N=3 GT N=3 YM CS N=3 YM CS MP Higgising Theory Theory Theory Theory Theory Theory Theory Theory IR conformal?

• N=3 super YM CS theory: N 3 super YM CS theory: c.f.) N=3 super YM CS [H. Kao 1994] ) p [ ] • Brane construction:  vacuum moduli, soliton solution

Discussion Discussion Discussion Discussion • Gravity dual and brane construction: [Gaiotto tomasiello 0901] y [ ] GT theory GT theory GT theory GT theory Gravity dual Gravity dual + perturbation for small F0 Brane construction? Brane construction? [Gaiotto tomasiello 0904] Effective action of multiple Effective action of multiple N=3 YM CS N=3 YM CS D2-branes in the presence of F0 D6 and F0 D8-branes F0 D6 and F0 D8 branes (Romans mass) Dual gravity?