Abstract
One-point functions of local operators are studied, at weak and strong coupling, for the ABJM theory in the presence of a 1/2 BPS domain wall. In the underlying quantum spin chain the domain wall is represented by a boundary state which we show is integrable yielding a compact determinant formula for one-point functions of generic operators.
Highlights
Another system where one could imagine closed overlap formulas to exist is a domain wall version of ABJM theory
The D2-D4 domain wall version of ABJM theory shares many features with its D3-D5 counterpart in N = 4 super Yang Mills theory, most notably it provides us with novel examples of integrable boundary states within AdS/CFT and associated novel examples of exact overlap formulas
These integrable boundary states generically take the form of matrix product states with the bond dimension encoding the jump in the rank of the gauge group across the domain wall and degenerate to valence bond states as when the bond dimension becomes equal to one
Summary
The ABJM model [21] is a Chern-Simons-matter theory in three dimensions with U(N ) ×. The domain wall (at weak coupling) is described by a classical scalar-field profile that satisfies the equations of motions. It must fulfill a set of simpler BPS equations, in order to preserve part of the supersymmetry. The energy of a BPS configuration takes the smallest possible value allowed by the boundary conditions. The potential energy in (2.1) is not a total square in general, but becomes such when evaluated on a configuration with only two fields excited. We denote those Y 1 and Y 2, or collectively Y α. The same matrices Sα describe the non-Abelian Coulomb branch of the massdeformed ABJM theory [24]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
