Overlaps for matrix product states of arbitrary bond dimension in ABJM theory
نویسندگان
چکیده
We find a closed formula for the overlap of Bethe eigenstates an alternating SU(4) spin chain, describing scalar sector ABJM theory, and matrix product states any bond dimension representing 1/2 BPS co-dimension one domain walls in field theory. One point functions defect CFTs involved, being directly expressible terms these overlaps, are hence completely determined.
منابع مشابه
The matrix product representations for all valence bond states
We introduce a simple representation for irreducible spherical tensor operators of the rotation group of arbitrary integer or half integer rank and use these tensor operators to construct matrix product states corresponding to all the variety of valence-bond states proposed in the Affleck-Kennedy-Lieb-Tasaki (AKLT) construction. These include the fully dimerized states of arbitrary spins, the p...
متن کاملTopological Field Theory and Matrix Product States
It is believed that most (perhaps all) gapped phases of matter can be described at long distances by Topological Quantum Field Theory (TQFT). On the other hand, it has been rigorously established that in 1+1d ground states of gapped Hamiltonians can be approximated by Matrix Product States (MPS). We show that the state-sum construction of 2d TQFT naturally leads to MPS in their standard form. I...
متن کاملOn Half-BPS States of the ABJM Theory
We analyze SU(2) invariant half-BPS states of the 3d, N = 8 or N = 6 SCFT within the radial quantization of the ABJM theory [1], the theory proposed to describe N M2-branes in the R × C/Zk background. After studying the classical moduli space of these configurations, we explicitly construct a set of gauge invariant operators involving ’t Hooft monopole operators corresponding to these states. W...
متن کاملPoint processes in arbitrary dimension from fermionic gases, random matrix theory, and number theory
It is well known that one can map certain properties of random matrices, fermionic gases, and zeros of the Riemann zeta function to a unique point process on the real line R. Here we analytically provide exact generalizations of such a point process in d-dimensional Euclidean space Rd for any d, which are special cases of determinantal processes. In particular, we obtain the n-particle correlat...
متن کاملStochastic matrix product states.
The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows us to define the analogue of Schmidt coefficients for steady states of nonequilibrium stochastic processes. We discuss a new measure for correlations which is analogous to entanglement entropy, the entropy cost S(C), and show that this measure quantifies the bond dimension nee...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physics Letters B
سال: 2022
ISSN: ['0370-2693', '1873-2445']
DOI: https://doi.org/10.1016/j.physletb.2022.137428