Details
| Original language | English |
|---|---|
| Article number | 185007 |
| Number of pages | 25 |
| Journal | Classical and quantum gravity |
| Volume | 41 |
| Issue number | 18 |
| Early online date | 23 Aug 2024 |
| Publication status | Published - 19 Sept 2024 |
Abstract
We derive the equations of motion that arise from the one-loop effective action for the geometry of 3+1 dimensional quantum branes in the IKKT matrix model. These equations are cast into the form of generalized Einstein equations, with extra contributions from dilaton and axionic fields, as well as a novel anharmonicity tensor Cµν capturing the classical Yang-Mills-type action. The resulting gravity theory approximately reduces to general relativity in some regime, but differs significantly at cosmic scales, leading to an asymptotically flat Friedmann-Lemaître-Robertson-Walker cosmological evolution governed by the classical action.
Keywords
- IKKT matrix model, modified Einstein equations, one-loop effective action
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
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In: Classical and quantum gravity, Vol. 41, No. 18, 185007, 19.09.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Modified Einstein equations from the 1-loop effective action of the IKKT model
AU - Kumar, Kaushlendra
AU - Steinacker, Harold C.
N1 - Publisher Copyright: © 2024 The Author(s). Published by IOP Publishing Ltd.
PY - 2024/9/19
Y1 - 2024/9/19
N2 - We derive the equations of motion that arise from the one-loop effective action for the geometry of 3+1 dimensional quantum branes in the IKKT matrix model. These equations are cast into the form of generalized Einstein equations, with extra contributions from dilaton and axionic fields, as well as a novel anharmonicity tensor Cµν capturing the classical Yang-Mills-type action. The resulting gravity theory approximately reduces to general relativity in some regime, but differs significantly at cosmic scales, leading to an asymptotically flat Friedmann-Lemaître-Robertson-Walker cosmological evolution governed by the classical action.
AB - We derive the equations of motion that arise from the one-loop effective action for the geometry of 3+1 dimensional quantum branes in the IKKT matrix model. These equations are cast into the form of generalized Einstein equations, with extra contributions from dilaton and axionic fields, as well as a novel anharmonicity tensor Cµν capturing the classical Yang-Mills-type action. The resulting gravity theory approximately reduces to general relativity in some regime, but differs significantly at cosmic scales, leading to an asymptotically flat Friedmann-Lemaître-Robertson-Walker cosmological evolution governed by the classical action.
KW - IKKT matrix model
KW - modified Einstein equations
KW - one-loop effective action
UR - http://www.scopus.com/inward/record.url?scp=85202071605&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2312.01317
DO - 10.48550/arXiv.2312.01317
M3 - Article
AN - SCOPUS:85202071605
VL - 41
JO - Classical and quantum gravity
JF - Classical and quantum gravity
SN - 0264-9381
IS - 18
M1 - 185007
ER -