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

Various Aspects Various Aspects

• f the
• f the Gaiotto

Gaiotto-

• Tomasiello

Tomasiello Theory Theory

O-Kab O-Kab Kwon won

S k k U i i (SKKU) Sungkyunkwan University (SKKU)

I ll b ti ith G h G d D ib T ll In collaboration with Gyungchoon Go and Driba Tolla

KIAS-YITP Joint workshop September September 20 20 – 24, 24, 2011 2011 September September 20 20 24, 24, 2011 2011

ABJM Th ABJM Th

 Chern-Simons matter(CSM) theory  U(N)XU(N) gauge group

ABJM Theory ABJM Theory

Aharony-Bergman

• Jafferis-Maldacena 2008

 Chern-Simon levels k and –k (k1+k2=0)  effective action of M2-branes on  dual to M-theory on y and IIA string theory on

G h G h

 CSM theories  U(N)XU(N) gauge group

GT Theory GT Theory

Gaiotto-Tomasiello 2009

( ) ( ) g g g p  Chern-Simon levels k and –k+F0 (k1+k2=F0)  brane interpretation and

[F jit Li R T k i 09]

brane interpretation and dual gravity in M-theory  dual to massive IIA gravity  F0 is identified as the flux of D8-brane

[Fujita-Li-Ryu-Takayanagi 09]

 F0 is identified as the flux of D8-brane (Romans mass)

N=3 GT N=3 GT Theory Theory

SUSY preserving mass deformation

[OK T ll JHEP’11]

Nonrelativistic superconformal theory

[OK, Tolla, JHEP’11]

with 8 supercharges

[Kawai, OK, Tolla] work in progress

N=3 Super Yang-Mills Chern-

work in progress

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. V l ti

• Vacuum solutions:

super YM CS theory (MP super YM CS theory (MP Higgsing Higgsing) super YM CS theory (MP super YM CS theory (MP Higgsing Higgsing)

• Mukhi-Papageorgakis (MP) Higgsing mechanism is

ll d l if th b i t ti l h fl t allowed only if the bosonic potential has a flat direction.

• ABJM theory

super YM theory

MP Higgising

• ABJM theory

super YM theory

IR conformal

[Kapustin, Willet, Yaakov, 2010]

• Flat direction of GT theory:

[ p , , , ]

N=3 GT N=3 GT Theory Theory N=3 YM CS N=3 YM CS Theory Theory

MP Higgising

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]

• Brane construction:  vacuum moduli, soliton solution

) p [ ]

Discussion Discussion Discussion Discussion

• Gravity dual and brane construction: [Gaiotto tomasiello 0901]

y

GT theory GT theory

Gravity dual [ ]

GT theory GT theory

+ perturbation for small F0

Gravity dual

Brane construction? Brane construction? Effective action of multiple

[Gaiotto tomasiello 0904]

N=3 YM CS N=3 YM CS

Effective action of multiple D2-branes in the presence of F0 D6 and F0 D8-branes F0 D6 and F0 D8 branes Dual gravity? (Romans mass)