TY - JOUR
T1 - Emergent gravity on covariant quantum spaces in the IKKT model
AU - Steinacker, Harold C.
N1 - Publisher Copyright:
© 2016, The Author(s).
PY - 2016/12/30
Y1 - 2016/12/30
N2 - We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the IKKT or IIB matrix model. Gauge fields and metric fluctuations are identified among the excitation modes with lowest spin, supplemented by a tower of higher-spin fields. They arise from an internal structure which can be viewed as a twisted bundle over $S^4$, leading to a covariant noncommutative geometry. The linearized 4-dimensional Einstein equations are obtained from the classical matrix model action under certain conditions, modified by an IR cutoff. Some one-loop contributions to the effective action are computed using the formalism of string states.
AB - We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the IKKT or IIB matrix model. Gauge fields and metric fluctuations are identified among the excitation modes with lowest spin, supplemented by a tower of higher-spin fields. They arise from an internal structure which can be viewed as a twisted bundle over $S^4$, leading to a covariant noncommutative geometry. The linearized 4-dimensional Einstein equations are obtained from the classical matrix model action under certain conditions, modified by an IR cutoff. Some one-loop contributions to the effective action are computed using the formalism of string states.
KW - hep-th
KW - gr-qc
KW - MATRIX
KW - GAUGE-THEORY
KW - FIELD-THEORY
KW - M(atrix) Theories
KW - Non-Commutative Geometry
KW - Models of Quantum Gravity
UR - https://arxiv.org/abs/1606.00769
UR - http://www.scopus.com/inward/record.url?scp=85007613503&partnerID=8YFLogxK
U2 - 10.1007/JHEP12(2016)156
DO - 10.1007/JHEP12(2016)156
M3 - Article
VL - 2016
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
IS - 12
M1 - 156
ER -