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2025-11-18 (Tuesday)
room B4.58, Pasteura 5 at 12:15  Calendar icon
David Osten (University of Wrocław)

An integrable sector for the membrane

In contrast to string sigma models which are well-known to be (classically) integrable in certain backgrounds, most famously flat space or AdS(5) x S(5), the same is not true for the membrane sigma model. Reasons for this are the non-trivial gravity on the world-volume but also the rarity of three-dimensional integrable field theories in general. Here, I will present the novel observation that a certain decoupling limit of the membrane in certain backgrounds will lead to an integrable model, the Manakov-Zakharov-Ward model – a known three-dimensional, but non-relativistic, integrable field theory. As an example of a supergravity background in which this limit is possible I present the 11d uplift of the pure NS-NS AdS(3) x S(3) x T(4) background.
2025-10-28 (Tuesday)
room 2.23, Pasteura 5 at 12:15  Calendar icon
(IFT UW)

Quantum hard rods - a simple many-body integrable model

Classical gas of hard-rods has served for a long time as a simple and exactly solvable problem of statistical physics of interacting particles. The quantum version of the model hasn't attract much attention so far. In this talk I will review the exact solution of the quantum model by the Bethe ansatz and then show new results on the correlation functions.
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