{"title":"超对称矩阵模型中Bosonic主场方程的解","authors":"F. Klinkhamer","doi":"10.5506/APhysPolB.52.1339","DOIUrl":null,"url":null,"abstract":"It has been argued that the bosonic large- N master field of the IIB matrix model can give rise to an emergent classical spacetime. In a re-cent paper, we have obtained solutions of a simplified bosonic master-field equation from a related matrix model. In this simplified equation, the ef-fects of dynamic fermions were removed. We now consider the full bosonic master-field equation from a related supersymmetric matrix model for dimensionality D = 3 and matrix size N = 3 . In this last equation, the effects of dynamic fermions are included. With an explicit realization of the random constants entering this algebraic equation, we establish the existence of nontrivial solutions. The small matrix size, however, does not allow us to make a definitive statement as to the appearance of a diagonal/band-diagonal structure in the obtained matrices.","PeriodicalId":7060,"journal":{"name":"Acta Physica Polonica B","volume":" ","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2021-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Solutions of the Bosonic Master-Field Equation from a Supersymmetric Matrix Model\",\"authors\":\"F. Klinkhamer\",\"doi\":\"10.5506/APhysPolB.52.1339\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It has been argued that the bosonic large- N master field of the IIB matrix model can give rise to an emergent classical spacetime. In a re-cent paper, we have obtained solutions of a simplified bosonic master-field equation from a related matrix model. In this simplified equation, the ef-fects of dynamic fermions were removed. We now consider the full bosonic master-field equation from a related supersymmetric matrix model for dimensionality D = 3 and matrix size N = 3 . In this last equation, the effects of dynamic fermions are included. With an explicit realization of the random constants entering this algebraic equation, we establish the existence of nontrivial solutions. The small matrix size, however, does not allow us to make a definitive statement as to the appearance of a diagonal/band-diagonal structure in the obtained matrices.\",\"PeriodicalId\":7060,\"journal\":{\"name\":\"Acta Physica Polonica B\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2021-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Physica Polonica B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.5506/APhysPolB.52.1339\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Physica Polonica B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.5506/APhysPolB.52.1339","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Solutions of the Bosonic Master-Field Equation from a Supersymmetric Matrix Model
It has been argued that the bosonic large- N master field of the IIB matrix model can give rise to an emergent classical spacetime. In a re-cent paper, we have obtained solutions of a simplified bosonic master-field equation from a related matrix model. In this simplified equation, the ef-fects of dynamic fermions were removed. We now consider the full bosonic master-field equation from a related supersymmetric matrix model for dimensionality D = 3 and matrix size N = 3 . In this last equation, the effects of dynamic fermions are included. With an explicit realization of the random constants entering this algebraic equation, we establish the existence of nontrivial solutions. The small matrix size, however, does not allow us to make a definitive statement as to the appearance of a diagonal/band-diagonal structure in the obtained matrices.
期刊介绍:
Acta Physica Polonica B covers the following areas of physics:
-General and Mathematical Physics-
Particle Physics and Field Theory-
Nuclear Physics-
Theory of Relativity and Astrophysics-
Statistical Physics