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| 001 | 296454 | ||
| 005 | 20211110133751.0 | ||
| 024 | 7 | _ | |a 10.3204/DESY-THESIS-2016-007 |2 datacite_doi |
| 037 | _ | _ | |a PUBDB-2016-01470 |
| 041 | _ | _ | |a English |
| 088 | 1 | _ | |a DESY-THESIS-2016-007 |
| 088 | _ | _ | |a DESY-THESIS-2016-007 |2 DESY |
| 100 | 1 | _ | |a Isachenkov, Mikhail |0 P:(DE-H253)PIP1006985 |b 0 |e Corresponding author |g male |
| 245 | _ | _ | |a Conformal Field Theory and Functions of Hypergeometric Type |f 2012-10-15 - 2015-10-21 |
| 260 | _ | _ | |a Hamburg |c 2016 |b Verlag Deutsches Elektronen-Synchrotron |
| 300 | _ | _ | |a 150 |
| 336 | 7 | _ | |a Output Types/Dissertation |2 DataCite |
| 336 | 7 | _ | |a DISSERTATION |2 ORCID |
| 336 | 7 | _ | |a PHDTHESIS |2 BibTeX |
| 336 | 7 | _ | |a Thesis |0 2 |2 EndNote |
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| 336 | 7 | _ | |a Dissertation / PhD Thesis |b phd |m phd |0 PUB:(DE-HGF)11 |s 1460367604_21092 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a doctoralThesis |2 DRIVER |
| 490 | 0 | _ | |a DESY-THESIS |0 PERI:(DE-600)1437131-5 |x 1435-8085 |
| 502 | _ | _ | |a Universität Hamburg, Diss., 2015 |c Universität Hamburg |b Dr. |d 2015 |
| 520 | _ | _ | |a AbstractConformal field theory provides a universal description of various phenomena in natural sciences. Its development, swift and successful, belongs to the major highlights of theoretical physics of the late XX century. In contrast, advances of the theory of hypergeometric functions always assumed a slower pace throughout the centuries of its existence. Functional identities studied by this mathematical discipline are fascinating both in their complexity and beauty. This thesis investigates the interrelation of two subjects through a direct analysis of three CFT problems: two-point functions of the 2d strange metal CFT, three-point functions of primaries of the non-rational Toda CFT and kinematical parts of Mellin amplitudes for scalar four-point functions in general dimensions. We flash out various generalizations of hypergeometric functions as a natural mathematical language for two of these problems. Several new methods inspired by extensions of classical results on hypergeometric functions, are presented.ZusammenfassungDie konforme Feldtheorie (CFT) bietet eine universelle Beschreibung verschiedener Phänomene in den Naturwissenschaften. Ihre schnelle und erfolgreiche Entwicklung gehört zu den wichtigsten Höhepunkten der theoretischen Physik des späten 20. Jahrhunderts. Demgegenüber ging der Fortschritt der hypergeometrischen Funktionen durch die Jahrhunderte langsamer vonstatten. Funktionale Identitäten, die von dieser mathematsichen Disziplin untersucht werden, sind faszinierend sowohl in ihrer Komplexität, als auch ihrer Schönheit. Diese Arbeit untersucht das Zusammenspiel dieser beiden Themen anhand der direkten Analyse dreier CFT-Problemen: Zweipunktfunktionen der zweidimensionalen ’strange metal CFT’, Dreipunktfunktionen von primären Feldern der nichtrationalen Toda CFT und kinematischen Teilen von Mellin-Amplituden für skalare Vierpunktfunktionen in beliebigen Dimensionen. Wir heben verschiedene Verallgemeinerungen der hypergeometrischen Funktionen als eine natürliche mathematische Sprache für zwei dieser Probleme hervor. Einige neue Methoden, die durch klassische Resultate über hypergeometrische Funktionen inspiriert wurden, werden vorgestellt. |
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| 700 | 1 | _ | |a Schomerus, Volker |0 P:(DE-H253)PIP1004538 |b 1 |e Thesis advisor |
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