Integrability in N=2 superconformal gauge theories
Any N=2 superconformal gauge theory (including N=4 SYM) contains a set of local operators made only out of fields in the N=2 vector multiplet that is closed under renormalization to all loops, namely the SU(2,1|2) sector. For planar N=4 SYM the spectrum of local operators can be obtained by mapping...
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| Format: | Article |
| Language: | English |
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Elsevier
2015-04-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315000097 |
| _version_ | 1829499967372263424 |
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| author | Elli Pomoni |
| author_facet | Elli Pomoni |
| author_sort | Elli Pomoni |
| collection | DOAJ |
| description | Any N=2 superconformal gauge theory (including N=4 SYM) contains a set of local operators made only out of fields in the N=2 vector multiplet that is closed under renormalization to all loops, namely the SU(2,1|2) sector. For planar N=4 SYM the spectrum of local operators can be obtained by mapping the problem to an integrable model (a spin chain in perturbation theory), in principle for any value of the coupling constant. We present a diagrammatic argument that for any planar N=2 superconformal gauge theory the SU(2,1|2) Hamiltonian acting on infinite spin chains is identical to all loops to that of N=4 SYM, up to a redefinition of the coupling constant. Thus, this sector is integrable and anomalous dimensions can be, in principle, read off from the N=4 ones up to this redefinition. |
| first_indexed | 2024-12-16T08:47:39Z |
| format | Article |
| id | doaj.art-cda3fed4f6de49eaa871b966e775028d |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-16T08:47:39Z |
| publishDate | 2015-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-cda3fed4f6de49eaa871b966e775028d2022-12-21T22:37:35ZengElsevierNuclear Physics B0550-32132015-04-018932153Integrability in N=2 superconformal gauge theoriesElli Pomoni0DESY Theory Group, DESY Hamburg, Notkestrasse 85, D-22603 Hamburg, Germany; Physics Division, National Technical University of Athens, 15780 Zografou Campus, Athens, Greece; Correspondence to: DESY Theory Group, DESY Hamburg, Notkestrasse 85, D-22603 Hamburg, Germany.Any N=2 superconformal gauge theory (including N=4 SYM) contains a set of local operators made only out of fields in the N=2 vector multiplet that is closed under renormalization to all loops, namely the SU(2,1|2) sector. For planar N=4 SYM the spectrum of local operators can be obtained by mapping the problem to an integrable model (a spin chain in perturbation theory), in principle for any value of the coupling constant. We present a diagrammatic argument that for any planar N=2 superconformal gauge theory the SU(2,1|2) Hamiltonian acting on infinite spin chains is identical to all loops to that of N=4 SYM, up to a redefinition of the coupling constant. Thus, this sector is integrable and anomalous dimensions can be, in principle, read off from the N=4 ones up to this redefinition.http://www.sciencedirect.com/science/article/pii/S0550321315000097 |
| spellingShingle | Elli Pomoni Integrability in N=2 superconformal gauge theories Nuclear Physics B |
| title | Integrability in N=2 superconformal gauge theories |
| title_full | Integrability in N=2 superconformal gauge theories |
| title_fullStr | Integrability in N=2 superconformal gauge theories |
| title_full_unstemmed | Integrability in N=2 superconformal gauge theories |
| title_short | Integrability in N=2 superconformal gauge theories |
| title_sort | integrability in n 2 superconformal gauge theories |
| url | http://www.sciencedirect.com/science/article/pii/S0550321315000097 |
| work_keys_str_mv | AT ellipomoni integrabilityinn2superconformalgaugetheories |