Large N gauge theories with a dense spectrum and the weak gravity conjecture
Abstract We find large N gauge theories containing a large number of operators within a band of low conformal dimensions. One of such examples is the four-dimensional N $$ \mathcal{N} $$ = 1 supersymmetric SU(N) gauge theory with one adjoint and a pair of fundamental/anti-fundamental chiral multiple...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-05-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP05(2021)124 |
| _version_ | 1818624365277741056 |
|---|---|
| author | Prarit Agarwal Jaewon Song |
| author_facet | Prarit Agarwal Jaewon Song |
| author_sort | Prarit Agarwal |
| collection | DOAJ |
| description | Abstract We find large N gauge theories containing a large number of operators within a band of low conformal dimensions. One of such examples is the four-dimensional N $$ \mathcal{N} $$ = 1 supersymmetric SU(N) gauge theory with one adjoint and a pair of fundamental/anti-fundamental chiral multiplets. This theory flows to a superconformal theory in the infrared upon a superpotential coupling with gauge singlets. The gap in the low-lying spectrum scales as 1/N and the central charges scale as O(N 1) contrary to the usual O(N 2) scaling of ordinary gauge theory coming from the matrix degree of freedom. We find the AdS version of the Weak Gravity Conjecture (WGC) holds for this theory, although it cannot be holographically dual to supergravity. This supports the validity of WGC in a more general theory of quantum gravity. |
| first_indexed | 2024-12-16T18:55:48Z |
| format | Article |
| id | doaj.art-a75bc991733a49338a7629f51fb4b905 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T18:55:48Z |
| publishDate | 2021-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a75bc991733a49338a7629f51fb4b9052022-12-21T22:20:31ZengSpringerOpenJournal of High Energy Physics1029-84792021-05-012021511110.1007/JHEP05(2021)124Large N gauge theories with a dense spectrum and the weak gravity conjecturePrarit Agarwal0Jaewon Song1CRST and School of Physics and Astronomy, Queen Mary University of LondonSchool of Physics, Korea Institute for Advanced StudyAbstract We find large N gauge theories containing a large number of operators within a band of low conformal dimensions. One of such examples is the four-dimensional N $$ \mathcal{N} $$ = 1 supersymmetric SU(N) gauge theory with one adjoint and a pair of fundamental/anti-fundamental chiral multiplets. This theory flows to a superconformal theory in the infrared upon a superpotential coupling with gauge singlets. The gap in the low-lying spectrum scales as 1/N and the central charges scale as O(N 1) contrary to the usual O(N 2) scaling of ordinary gauge theory coming from the matrix degree of freedom. We find the AdS version of the Weak Gravity Conjecture (WGC) holds for this theory, although it cannot be holographically dual to supergravity. This supports the validity of WGC in a more general theory of quantum gravity.https://doi.org/10.1007/JHEP05(2021)124AdS-CFT CorrespondenceConformal Field TheorySupersymmetric Gauge Theory |
| spellingShingle | Prarit Agarwal Jaewon Song Large N gauge theories with a dense spectrum and the weak gravity conjecture Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Supersymmetric Gauge Theory |
| title | Large N gauge theories with a dense spectrum and the weak gravity conjecture |
| title_full | Large N gauge theories with a dense spectrum and the weak gravity conjecture |
| title_fullStr | Large N gauge theories with a dense spectrum and the weak gravity conjecture |
| title_full_unstemmed | Large N gauge theories with a dense spectrum and the weak gravity conjecture |
| title_short | Large N gauge theories with a dense spectrum and the weak gravity conjecture |
| title_sort | large n gauge theories with a dense spectrum and the weak gravity conjecture |
| topic | AdS-CFT Correspondence Conformal Field Theory Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP05(2021)124 |
| work_keys_str_mv | AT praritagarwal largengaugetheorieswithadensespectrumandtheweakgravityconjecture AT jaewonsong largengaugetheorieswithadensespectrumandtheweakgravityconjecture |