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Points, Lines, and Surfaces at Criticality (Paperback, 1st ed. 2019)
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Points, Lines, and Surfaces at Criticality (Paperback, 1st ed. 2019)
Series: Springer Theses
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This thesis offers a fascinating journey through various
non-perturbative aspects of Conformal Theories, in particular
focusing on the Conformal Bootstrap Programme and its extensions to
theories with various degrees of symmetry. Because of the
preeminent role of Conformal Theories in Nature, as well as the
great generality of the results here obtained, this analysis
directly applies to many different areas of research. The content
of this thesis is certainly relevant for the physics community as a
whole and this relevance is well motivated and discussed along the
various chapters of this work. The work is self-contained and
starts with an original introduction to conformal theories, defects
in such theories and how they lead to constraints on data and an
extension of the bootstrap programme. This situation is often
realized by critical systems with impurities, topological
insulators, or - in the high-energy context - by Wilson and 't
Hooft operators. The thesis continues with original research
results of the author, including supersymmetric extensions. These
results may be relevant non only in the high energy physics context
- where supersymmetry is required for the theory to be consistent -
but also for condensed matter systems that enjoy supersymmetry
emergence at long distances.
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