Exact Results in Supersymmetric Field Theories: A dissertation on the defect and deformed

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Widen, Erik,1986-Uppsala universitet,Institutionen för fysik och astronomi (författare)

Exact Results in Supersymmetric Field Theories : A dissertation on the defect and deformed

BokEngelska2019

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Uppsala :Acta Universitatis Upsaliensis,2019
116 s.
electronicrdacarrier

Nummerbeteckningar

LIBRIS-ID:oai:DiVA.org:uu-377042
ISBN:9789151305776
https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-377042URI

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Språk:engelska
Sammanfattning på:engelska

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Ämneskategori:vet swepub-contenttype
Ämneskategori:dok swepub-publicationtype

Serie

Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology,1651-6214 ;1776

Anmärkningar

Quantum field theories (QFTs) are the most precise descriptions of the physical reality that humanity has found. Yet exact predictions are often missing as most computations are notoriously difficult to carry out. One generally resorts to perturbation theory which immediately limits the regime of validity. The need of better computational techniques and a deeper understanding of quantum field theory is evident.The highly symmetric N=4 SYM theory offers guidance in this quest. The theory's maximal supersymmetry and conformal invariance have allowed for the development of several computational techniques, most notably the AdS/CFT correspondence, supersymmetric localization and applications of integrability. These methods provide the rarity of exact results in a fully interacting QFT and shine light on regimes inaccessible by traditional computations.The insights drawn from N=4 SYM can be extended into more general settings through deformations and modifications. Three such modifications are the β-deformation, the massive deformation N=2* and N=4 SYM with a defect. This thesis summarizes a number of exact results for these three settings through: i) a spin-chain analogy for two-point functions in the defect N=4 SYM, ii) a vacuum solution for the β-deformed defect N=4 SYM and its spin-chain interpretation of one-point functions, iii) a detailed study of the phase transitions in N=2* applying localization and iv) an adaptation of the Quantum Spectral Curve to explicit calculations of anomalous dimensions in β-deformed N=4 SYM.

Ämnesord och genrebeteckningar

NATURVETENSKAP Fysik Annan fysik hsv//swe
NATURAL SCIENCES Physical Sciences Other Physics Topics hsv//eng
AdS/CFT correspondence
integrability
localization
supersymmetric deformations
Quantum Spectral Curve
defect CFT
one-point functions
Theoretical Physics
Teoretisk fysik

Biuppslag (personer, institutioner, konferenser, titlar ...)

Zarembo, Konstantin,ProfessorUppsala universitet,Institutionen för fysik och astronomi,Nordita, KTH Royal Institute of Technology and Stockholm University (preses)
Gromov, Nikolay,ProfessorKing's College London (opponent)
Uppsala universitetInstitutionen för fysik och astronomi (creator_code:org_t)

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Av författaren/redakt...: Widen, Erik, 198 ...; Zarembo, Konstan ...; Gromov, Nikolay, ...

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NATURVETENSKAP: NATURVETENSKAP; och Fysik; och Annan fysik

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Av lärosätet: Uppsala universitet

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