Gauging the Maxwell extended $\mathcal{GL}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras
Symmetry 2023, 15(2), 464 We consider the extension of the general-linear and special-linear algebras by employing the Maxwell symmetry in $D$ space-time dimensions. We show how various Maxwell extensions of the ordinary space-time algebras can be obtained by a suitable contraction of generalized al...
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| creator | Kibaroğlu, Salih Cebecioğlu, Oktay Saban, Ahmet |
| description | Symmetry 2023, 15(2), 464 We consider the extension of the general-linear and special-linear algebras
by employing the Maxwell symmetry in $D$ space-time dimensions. We show how
various Maxwell extensions of the ordinary space-time algebras can be obtained
by a suitable contraction of generalized algebras. The extended Lie algebras
could be useful in the construction of generalized gravity theories and the
objects that couple to them. We also consider the gravitational dynamics of
these algebras in the framework of the gauge theories of gravity. By adopting
the symmetry-breaking mechanism of the Stelle-West model, we present some
modified gravity models that contain the generalized cosmological constant term
in four dimensions. |
| doi_str_mv | 10.48550/arxiv.2212.12610 |
| format | Article |
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by employing the Maxwell symmetry in $D$ space-time dimensions. We show how
various Maxwell extensions of the ordinary space-time algebras can be obtained
by a suitable contraction of generalized algebras. The extended Lie algebras
could be useful in the construction of generalized gravity theories and the
objects that couple to them. We also consider the gravitational dynamics of
these algebras in the framework of the gauge theories of gravity. By adopting
the symmetry-breaking mechanism of the Stelle-West model, we present some
modified gravity models that contain the generalized cosmological constant term
in four dimensions.</description><identifier>DOI: 10.48550/arxiv.2212.12610</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - General Relativity and Quantum Cosmology ; Physics - High Energy Physics - Theory ; Physics - Mathematical Physics</subject><creationdate>2022-12</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2212.12610$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.3390/sym15020464$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2212.12610$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Kibaroğlu, Salih</creatorcontrib><creatorcontrib>Cebecioğlu, Oktay</creatorcontrib><creatorcontrib>Saban, Ahmet</creatorcontrib><title>Gauging the Maxwell extended $\mathcal{GL}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras</title><description>Symmetry 2023, 15(2), 464 We consider the extension of the general-linear and special-linear algebras
by employing the Maxwell symmetry in $D$ space-time dimensions. We show how
various Maxwell extensions of the ordinary space-time algebras can be obtained
by a suitable contraction of generalized algebras. The extended Lie algebras
could be useful in the construction of generalized gravity theories and the
objects that couple to them. We also consider the gravitational dynamics of
these algebras in the framework of the gauge theories of gravity. By adopting
the symmetry-breaking mechanism of the Stelle-West model, we present some
modified gravity models that contain the generalized cosmological constant term
in four dimensions.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - General Relativity and Quantum Cosmology</subject><subject>Physics - High Energy Physics - Theory</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNptkMFLhEAYxefSIbb-gE552ENR2nwzzqjHWMoCI6g9CvKNfqPCrIRrZcj-720W0aHTezx-PHiPsRPgQRgrxa-wH9u3QAgQAQgN_JBNKb7WbVd7Q0PeA47v5JxH40BdRZW3zDc4NCW6Kc12uSM7nHWXc2bM9LTL-7ZuhvOlh91f9vmXvYB_aVeT6XF7xA4sui0d_-iCrW9v1qs7P3tM71fXmY864j4lVRSBEkCxNqFQVZiAqPYm0hIAhAzRcpVYLq2RQKWysdYKIDFhKSIVywU7_a6d1xcvfbvB_qP4eqGYX5CfgDZXYg</recordid><startdate>20221223</startdate><enddate>20221223</enddate><creator>Kibaroğlu, Salih</creator><creator>Cebecioğlu, Oktay</creator><creator>Saban, Ahmet</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20221223</creationdate><title>Gauging the Maxwell extended $\mathcal{GL}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras</title><author>Kibaroğlu, Salih ; Cebecioğlu, Oktay ; Saban, Ahmet</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a670-e9d771521e86b425d4912d425763111234af059f03fb31ec5f8665119b4c27583</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - General Relativity and Quantum Cosmology</topic><topic>Physics - High Energy Physics - Theory</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Kibaroğlu, Salih</creatorcontrib><creatorcontrib>Cebecioğlu, Oktay</creatorcontrib><creatorcontrib>Saban, Ahmet</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Kibaroğlu, Salih</au><au>Cebecioğlu, Oktay</au><au>Saban, Ahmet</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Gauging the Maxwell extended $\mathcal{GL}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras</atitle><date>2022-12-23</date><risdate>2022</risdate><abstract>Symmetry 2023, 15(2), 464 We consider the extension of the general-linear and special-linear algebras
by employing the Maxwell symmetry in $D$ space-time dimensions. We show how
various Maxwell extensions of the ordinary space-time algebras can be obtained
by a suitable contraction of generalized algebras. The extended Lie algebras
could be useful in the construction of generalized gravity theories and the
objects that couple to them. We also consider the gravitational dynamics of
these algebras in the framework of the gauge theories of gravity. By adopting
the symmetry-breaking mechanism of the Stelle-West model, we present some
modified gravity models that contain the generalized cosmological constant term
in four dimensions.</abstract><doi>10.48550/arxiv.2212.12610</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - General Relativity and Quantum Cosmology Physics - High Energy Physics - Theory Physics - Mathematical Physics |
| title | Gauging the Maxwell extended $\mathcal{GL}\left(n,\mathbb{R}\right)$ and $\mathcal{SL}\left(n+1,\mathbb{R}\right)$ algebras |
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