Triangle Seminars
Monday, 13 Nov 2006
Integrability in gauge theory and string theory IV
Nick Dorey
(Cambridge/Imperial Maths Institute)
Abstract:
In these lectures, I will introduce the concept of integrability and study its realisation in the context of gauge theory and string theory. In particular, I plan to review recent progress in computing the spectrum of operator dimensions in N=4 supersymmetric Yang-Mills theory and the dual problem of determining the spectrum of string theory on AdS5 x S5.
In these lectures, I will introduce the concept of integrability and study its realisation in the context of gauge theory and string theory. In particular, I plan to review recent progress in computing the spectrum of operator dimensions in N=4 supersymmetric Yang-Mills theory and the dual problem of determining the spectrum of string theory on AdS5 x S5.
Posted by: IC
Wednesday, 15 Nov 2006
Faster than Hermitian Quantum Mechanics?
Dorje Brody
(Imperial College London)
Abstract:
Given an initial quantum state and a final quantum state in a Hilbert space, there exist Hamiltonians H that transform one into the other. Subject to the constraint that the difference between the largest and smallest eigenvalues of H is held fixed, which H achieves this transformation in the least time? For Hermitian Hamiltonians this time has a nonzero lower bound. However, among complex PT-symmetric Hamiltonians satisfying the same energy constraint, this time can be made arbitrarily small without violating the time-energy uncertainty principle. The talk will discuss the possible implications of this result.
Given an initial quantum state and a final quantum state in a Hilbert space, there exist Hamiltonians H that transform one into the other. Subject to the constraint that the difference between the largest and smallest eigenvalues of H is held fixed, which H achieves this transformation in the least time? For Hermitian Hamiltonians this time has a nonzero lower bound. However, among complex PT-symmetric Hamiltonians satisfying the same energy constraint, this time can be made arbitrarily small without violating the time-energy uncertainty principle. The talk will discuss the possible implications of this result.
Posted by: CityU
Higgs Bundles, Gauge Theories and Quantum Groups
📍 London
Samson L. Shatashvili
(Hamilton Mathematics Institute, Trinity, Dublin)
Abstract:
(check the triangle webpage under menu 'triangle' for directions to the seminar room)
(check the triangle webpage under menu 'triangle' for directions to the seminar room)
Posted by: KCL
Matching the Hagedorn temperature in AdS/CFT
📍 London
Troels Harmark
(Niels Bohr Institute)
Thursday, 16 Nov 2006
Magnon Boundstates in Gauge/String Duality
Heng-Yu Chen
(DAMTP, Cambridge)
Abstract:
I will begin with basic review on the integrabilities in AdS/CFT correspondence, and move on discussing the role of scattering matrices in gauge and string thoeries. I will then explain the formation of magnon boundststates in gauge theory and their corresponding classical string solution. The scattering of magnon boundstates and their classifications will also be discussed in this seminar. I will also mention some work in progress.
I will begin with basic review on the integrabilities in AdS/CFT correspondence, and move on discussing the role of scattering matrices in gauge and string thoeries. I will then explain the formation of magnon boundststates in gauge theory and their corresponding classical string solution. The scattering of magnon boundstates and their classifications will also be discussed in this seminar. I will also mention some work in progress.
Posted by: IC