TY - JOUR
T1 - Holography for tensor models
AU - De Mello Koch, Robert
AU - Gossman, David
AU - Tahiridimbisoa, Nirina Hasina
AU - Mahu, Augustine Larweh
N1 - Publisher Copyright:
© 2020 authors. Published by the American Physical Society.
PY - 2020/2/5
Y1 - 2020/2/5
N2 - In this article we explore the holographic duals of tensor models using collective field theory. We develop a description of the gauge invariant variables of the tensor model. This is then used to develop a collective field theory description of the dynamics. We consider matrixlike subsectors that develop an extra holographic dimension. In particular, we develop the collective field theory for the matrixlike sector of an interacting tensor model. We check the correctness of the large N collective field by showing that it reproduces the perturbative expansion of large N expectation values. In contrast to this, we argue that melonic large N limits do not develop an extra dimension. This conclusion follows from the large N value for the melonic collective field, which has delta function support. The finite N physics of the model is also developed and nonperturbative effects in the 1/N expansion are exhibited.
AB - In this article we explore the holographic duals of tensor models using collective field theory. We develop a description of the gauge invariant variables of the tensor model. This is then used to develop a collective field theory description of the dynamics. We consider matrixlike subsectors that develop an extra holographic dimension. In particular, we develop the collective field theory for the matrixlike sector of an interacting tensor model. We check the correctness of the large N collective field by showing that it reproduces the perturbative expansion of large N expectation values. In contrast to this, we argue that melonic large N limits do not develop an extra dimension. This conclusion follows from the large N value for the melonic collective field, which has delta function support. The finite N physics of the model is also developed and nonperturbative effects in the 1/N expansion are exhibited.
UR - http://www.scopus.com/inward/record.url?scp=85079822507&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.101.046004
DO - 10.1103/PhysRevD.101.046004
M3 - Article
AN - SCOPUS:85079822507
SN - 2470-0010
VL - 101
JO - Physical Review D
JF - Physical Review D
IS - 4
M1 - 046004
ER -