ADSCFTBNF · AdS/CFT beyond the N=4 SYM paradigm
7РП — „Хора“ (Действия „Мария Кюри“)
- Период
- 2012-10-01 → 2016-09-30
- Финансиране от ЕС
- 100 000 €
- Участници
- 1
- Схема
- MC-IRG
Линиите свързват координатора с партньорите.
Накратко на български
Математическите връзки между квантовите полета и гравитацията се анализират чрез специфични глонични сектори и суперконформни теории. Това помага за разбирането на сложни физични системи, които нямат стандартно описание чрез уравнения.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Periodic Report Summary 1 - ADSCFTBNF (AdS/CFT beyond the N=4 SYM paradigm)
We showed that any N = 2 SCFT contains a closed to all loops purely gluonic SU(2,1|2) sector that is made only out of fields in the N = 2 vector multiplet. The AdS duals of the states in the purely gluonic SU(2,1|2) sector live classically in AdS5 ×S1. We gave a diagrammatic argument that in the planar limit the SU(2,1|2) Hamiltonian is identical to all loops to that of N = 4 SYM, up to a redefinition of the coupling constant λ --> f(λ). Thus, this sector is integrable and anomalous dimensions can be read off from the N = 4 ones up to this redefinition. What is more, we showed how f(λ) can be exactly obtained, by comparing the circular Wilson loop of the respective N = 2 theories to the N = 4 one using Pestun localization. We obtained the f(λ) for a large class of N = 2 SCFTs and we checked our results pertubatively (using Feynman diagrams) up to four loops as well as at the strong coupling (using AdS/CFT) for the leading contribution. More results and more checks are work in progress. Following a more formal path, we used 5-brane junctions and topological strings to study the 5D TN SCFTs corresponding to the 5D uplift of the 4D strongly coupled gauge theories obtained by compactifying N M5 branes on a sphere with three full punctures. These theories have no Lagrangian description, and traditional techniques cannot be used for them. However, using 5-brane junctions we were able to derive their SW curves and Nekrasov partition functions. Through the q-deformed version AGTW, 5D superconformal indices can provide n-point functions of the q-deformed WN Toda theories. Taking the undeformed q--> 1 limit we obtained the partition functions of the 4D TN theories with non-Lagramgian description, as well as undeformed WN Toda three point correlators that they correspond to. We thus succeed in providing the complete (with no degenerations) three point functions of Toda with three primary insertions; a long standing open problem in Mathematical physics. We have also been able to check our result by comparing with the formula by Fateev and Litvinov where one of the three primary fields is semi-degenerate.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
This proposal concerns research in the direction of finding string theory duals for gauge theories beyond the N = 4 universality class; theories that have genuinely less supersymmetry and unquenched flavor. Arguably, the next simplest example afterN= 4 SYM is N=2 SU(N_c) SYM coupled to N_f=2N_c fundamental hypermultiplets.The theory admits a Veneziano expansion of large N_c and large N_f, with N_f/N_c and `t Hooft coupling g^2 N_c kept fixed. The topological structure of large N diagrams motivates a general conjecture: the flavor‐singlet sector of a gauge theory in the Veneziano limit is dual to a closed string theory.In recent studies, we explored the chiral spectrum of protected operators of the theory and we found that the string dual is an eight dimensional sub‐critical background containing both an AdS_5 and an S^1 factor. Moreover, we mapped the gauge theory dilatation operator in the scalar sector to the Hamiltonian of a novel spin chain and addressed the question of its integrability.Continuing this line of research, we propose working towards further establishing this new paradigm of the N=2 superconfomal QCD. Moreover, by using the same tools, we propose searching for new, interesting for phenomenological applications, dual pairs. Finally, our intention is to apply these new AdS/CFT paradigms to phenomenologically related questions.
Оригинален текст от CORDIS (на английски).
Участници
- ETHNICON METSOVION POLYTECHNION · ATHINAКоординаторГърция
Връзки
Данни: CORDIS, © Европейски съюз