Superconformal Chern-Simons theories and AdS₄/CFT₃correspondence

Fermi surfaces and gauge-gravity duality

“…Benna et al [54] have given an explicit formulation of the ABJM theory which is suitable for our purposes: see their Section 4. The theory has two-component Dirac fermions and complex scalars, both of which are bi-fundamentals of a U(N )×U(N ) gauge group, and fundamentals of the global SU(4) 'flavor' symmetry.…”

“…Using the notation of Eqs. (4.21) and (4.23) of Benna et al [54], we choose the SU(4) generator diag(1, 1, −1, −1) as our global U(1) charge Q. We perform a particle-hole transformation on particles on the bottom 2 components, and so then all particles carry a unit U(1) global charge.…”

“…We can now write down a Lagrangian guided by the structure of the ABJM model [54], or equivalently. using the strategies of Sections II and IV.…”

Dualities for loop amplitudes of N = 6 Chern-Simons matter theory

“…The matter fields transform in the bi-fundamental representation of U (N ) × U (N ) gauge symmetry carried by two U (N ) Chern-Simons gauge fields A µ and µ . The explicit form of the action can be found in [35]. Since N = 6 is not maximal, the on-shell multiplet is contained in two superfields 4) where the Grassmann odd variables η I carries U (3) indices, i.e.…”

Spiky strings inAdS4×CP3with Neveu-Schwarz flux

“…Giant magnons can be thought of as a special limit of such spiky strings with shorter wavelength. Recently there has been a lot of work devoted for the understanding of the giant magnon and spiky string solutions in various backgrounds see for example [7]- [27].There has also been numerous papers devoted for understanding the finite size corrections on these solutions [28].…”