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SUMMARY:PhD Thesis: Exact Results in Supersymmetric Field Theories. A Diss
ertation on the Defect and Deformed
DTSTART;VALUE=DATE-TIME:20190402T081500Z
DTEND;VALUE=DATE-TIME:20190402T110000Z
DTSTAMP;VALUE=DATE-TIME:20220126T200400Z
UID:indico-event-6754@indico.fysik.su.se
CONTACT:hvzm@nordita.org
DESCRIPTION:Speakers: Erik Widén (Nordita)\nQuantum field theories (QFTs)
are the most precise descriptions of the physical reality that humanity h
as 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 bette
r computational techniques and a deeper understanding of quantum field the
ory is evident.\n\nThe highly symmetric N=4 SYM theory offers guidance in
this quest. The theory's maximal supersymmetry and conformal invariance ha
ve allowed for the development of several computational techniques\, most
notably the AdS/CFT correspondence\, supersymmetric localization and appli
cations of integrability. These methods provide the rarity of exact result
s in a fully interacting QFT and shine light on regimes inaccessible by tr
aditional computations.\n\nThe 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* a
nd 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 f
unctions 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 localizat
ion and iv) an adaptation of the Quantum Spectral Curve to explicit calcul
ations of anomalous dimensions in β-deformed N=4 SYM.\nhttps://indico.fys
ik.su.se/event/6754/
LOCATION:FR4
URL:https://indico.fysik.su.se/event/6754/
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