Spinor-Vector Duality and the Swampland
The Swampland Program aims to address the question, “when does an effective field theory model of quantum gravity have an ultraviolet complete embedding in string theory?”, and can be regarded as a bottom-up approach for investigations of quantum gravity. An alternative top-down approach aims to exp...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/8/426 |
| _version_ | 1797441520842833920 |
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| author | Alon E. Faraggi |
| author_facet | Alon E. Faraggi |
| author_sort | Alon E. Faraggi |
| collection | DOAJ |
| description | The Swampland Program aims to address the question, “when does an effective field theory model of quantum gravity have an ultraviolet complete embedding in string theory?”, and can be regarded as a bottom-up approach for investigations of quantum gravity. An alternative top-down approach aims to explore the imprints and the constraints imposed by string-theory dualities and symmetries on the effective field theory representations of quantum gravity. The most celebrated example of this approach is mirror symmetry. Mirror symmetry was first observed in worldsheet contructions of string compactifications. It was completely unexpected from the effective field theory point of view, and its implications in that context were astounding. In terms of the moduli parameters of toroidally compactified Narain spaces, mirror symmetry can be regarded as arising from mappings of the moduli of the internal compactified space. Spinor-vector duality, which was discovered in worldsheet constructions of string vacua, is an extension of mirror symmetry that arises from mappings of the Wilson line moduli and provide a probe to constrain and explore the moduli spaces of (2, 0) string compactifications. Mirror symmetry and spinor-vector duality are mere two examples of a much wider symmetry structure, whose implications have yet to be unravelled. A mapping between supersymmetric and non-supersymmetric vacua is briefly discussed. <i>T</i>-duality is another important property of string theory and can be thought of as phase-space duality in compact space. I propose that manifest phase-space duality and the related equivalence postulate of quantum mechanics provide the background independent overarching principles underlying quantum gravity. |
| first_indexed | 2024-03-09T12:25:20Z |
| format | Article |
| id | doaj.art-f016512146794900ad09b2354fb80b51 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:25:20Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-f016512146794900ad09b2354fb80b512023-11-30T22:36:30ZengMDPI AGUniverse2218-19972022-08-018842610.3390/universe8080426Spinor-Vector Duality and the SwamplandAlon E. Faraggi0Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UKThe Swampland Program aims to address the question, “when does an effective field theory model of quantum gravity have an ultraviolet complete embedding in string theory?”, and can be regarded as a bottom-up approach for investigations of quantum gravity. An alternative top-down approach aims to explore the imprints and the constraints imposed by string-theory dualities and symmetries on the effective field theory representations of quantum gravity. The most celebrated example of this approach is mirror symmetry. Mirror symmetry was first observed in worldsheet contructions of string compactifications. It was completely unexpected from the effective field theory point of view, and its implications in that context were astounding. In terms of the moduli parameters of toroidally compactified Narain spaces, mirror symmetry can be regarded as arising from mappings of the moduli of the internal compactified space. Spinor-vector duality, which was discovered in worldsheet constructions of string vacua, is an extension of mirror symmetry that arises from mappings of the Wilson line moduli and provide a probe to constrain and explore the moduli spaces of (2, 0) string compactifications. Mirror symmetry and spinor-vector duality are mere two examples of a much wider symmetry structure, whose implications have yet to be unravelled. A mapping between supersymmetric and non-supersymmetric vacua is briefly discussed. <i>T</i>-duality is another important property of string theory and can be thought of as phase-space duality in compact space. I propose that manifest phase-space duality and the related equivalence postulate of quantum mechanics provide the background independent overarching principles underlying quantum gravity.https://www.mdpi.com/2218-1997/8/8/426string phenomenologystring dualitiesphase-space duality |
| spellingShingle | Alon E. Faraggi Spinor-Vector Duality and the Swampland Universe string phenomenology string dualities phase-space duality |
| title | Spinor-Vector Duality and the Swampland |
| title_full | Spinor-Vector Duality and the Swampland |
| title_fullStr | Spinor-Vector Duality and the Swampland |
| title_full_unstemmed | Spinor-Vector Duality and the Swampland |
| title_short | Spinor-Vector Duality and the Swampland |
| title_sort | spinor vector duality and the swampland |
| topic | string phenomenology string dualities phase-space duality |
| url | https://www.mdpi.com/2218-1997/8/8/426 |
| work_keys_str_mv | AT alonefaraggi spinorvectordualityandtheswampland |