UEATLecture Theatre 1
FIRST seminar
SECOND seminar
2023-09-27Konstantinos SfetsosUniversity of AthensClassical and quantum aspects of a constrained field theory from integrabilityThe classical and quantum properties of systems maybe drastically affected by imposing constraints in their phase space. Desirable properties such as unitarity and renormalizability may not be retained. In this general context we consider a specific class of integrable models. We briefly review essential aspects of the construction and their properties classical and quantum. After imposing a constraint we show that at tree level integrability is preserved and particle production or transmutation are not-allowed. In addition, the constrained model remains one-loop renormalizable. We compute its beta-function and argue consistency with the expected reduction of the degrees of freedom due to the constraint.2023-10-04Pre-seminarA session during which speakers will give a short introduction to their talks for PhD students and postdocs. Latham BoyleEdinburghThe Penrose tiling is a quantum error correcting codeI will introduce Penrose tilings ("PTs") and quantum
error correcting codes ("QECCs"). A PT is a remarkable,
intrinsically non-periodic way of tiling the plane whose many
beautiful and unexpected properties have fascinated physicists,
mathematicians, and geometry lovers of all sorts, ever since its
discovery in the 1970s. A QECC is a clever way of protecting
quantum information from noise, by encoding the information with
a sophisticated type of redundancy. Such codes play an
increasingly important role in physics: in quantum computing
(where they protect the delicate quantum state of the computer);
in condensed matter physics (where they underpin the notion of
topologically-ordered phases); and even in quantum gravity
(where the "holographic" or "gauge/gravity" duality may be
understood as such a code). Although PTs and QECCs might seem
unrelated, I will explain how a PT gives rise to (or, in a
sense, *is*) a new type of QECC in which any local errors or
erasures in any finite region of the code space, no matter how
large, may be diagnosed and corrected. (Joint work with Zhi
Li.)Ian StrachanGlasgowDeformations of self-dualityThe starting point for this talk is joint work with
Tom Bridgeland, where we showed that the tangent bundle TM to
the space of stability conditions M is naturally a hyperKahler
manifold. This then connects the theory of DT invariants to the
theory of integrable systems and twistor theory. The idea was
also extended to quantum DT invariants, via a Moyal-deformation
of self-duality. This then makes a connection to my old work,
and to recent work of others. However, the deformation is of
the field equations/integrable systems, not the associated
twistor theory. The talks address how an appropriate deformation
of twistor space could be achieved by using an appropriate
deformation quantization.2023-10-18Pre-seminarA session during which speakers will give a short introduction to their talks for PhD students and postdocs. Prateksh DhivakarIIT KanpurTBATBAInes AnicetoSouthamptonTBATBA