New pre-print! ๐ข
https://t.co/CsVifCzDjH
In this paper, we derive an explicit, analytic solution for the three-point functions of conserved supercurrents in 3D N=1 SCFT that are Grassmann-odd in superspace.
PERTH: Join @KarenLLivesey for a free public lecture, 'Nano-magnets: new materials to address biomedical and technological problems'.
๐ 28 June
Register: https://t.co/tS79GPOT8V
See more dates on Karen's Women In Physics Lecture Tour: https://t.co/VPKDquNm9v
Perth people: want to attend a free event next Wednesday night? Come hear me talk about tiny magnets ๐งฒ in a fun and simple way.
๐7pm Wed 28 June
๐ Ross lecture theatre, Physics, UWA
๐https://t.co/Tq77PwaZYy
#NewyPhysics@ausphysics@ScienceAU @UON_research #SuperstarsOfSTEM
@astro_magnetism Depending on the dimension you're in, you could also make use of the levi-civita tensor. E.g in 3D, an anti-symmetric tensor (say F_{ab}) is equivalent to a 3-vector: F_{ab} = \epsilon_{abc} V^{c}. That can help to identify independent components.
@astro_magnetism Nice! You might be able to go further as well. In addition to considering (anti-)symmetric traceless and traceful components, due to the partial derivative, you can also look at the transverse components. The transverse part is almost always useful for something!
@astro_magnetism What kind of tensor are we talking here? Young tableaux can be useful for understanding the symmetries of more complicated tensors. Could be worth looking into.
@astro_magnetism I wish there was some kind of useful visualisation, but it seems dubious... that being said, I'm working on a new manuscript right now which contains an interesting result that could be best explained with a diagram. Just depends on if the boss will approve it! ๐
It turns out that the determinant of this matrix satisfies the following recursion formula. By analysing this recursion relation we determine the number of solutions for the three-point function.
New pre-print! ๐ข
https://t.co/CsVifCzDjH
In this paper, we derive an explicit, analytic solution for the three-point functions of conserved supercurrents in 3D N=1 SCFT that are Grassmann-odd in superspace.
The main result is that these correlators cannot contain a parity-violating contribution in general. An interesting feature of the proof is that the problem reduces to analysing the properties of a tridiagonal matrix
@NikoSarcevic I find that at least when it comes to theoretical work, sometimes you need a moment of brilliance to make any progress. So usually, I like to strike while the iron is hot and swap between whatever projects I feel I have the best ideas for at any given time.
Though I've heard this wonderful phrase before, to my embarrassment it was only recently that I learned it's known as "Einstein's razor".
I sometimes wonder if Einstein would approve of the direction of modern theoretical physics research.
@jbeardsleymath I think it's helpful provided that the speaker uses the outline to summarise the "goal" of the talk and the main results. Almost like an abstract if you will.
Absolutely shook right now that the answer to a difficult research problem I'm working on reduces to showing whether a tridiagonal matrix has a non-zero determinant. Three point functions are just full of fun surprises.
The paper on progress in conformal field theory (using analytic bootstrap) provides a nice introduction and motivation to the field.
https://t.co/5zrg7A7WEC
The Proceedings of the 2021 US Community Study on the Future of Particle Physics (Snowmass 2021) is now available at https://t.co/cq2X1wuqyG .
See our blog post about this: https://t.co/3Ioac3YQSt
You can see the INSPIRE record with all the papers here:
https://t.co/cDaM3SXwxK
The Proceedings of the 2021 US Community Study on the Future of Particle Physics (Snowmass 2021) is now available at https://t.co/cq2X1wuqyG .
See our blog post about this: https://t.co/3Ioac3YQSt
You can see the INSPIRE record with all the papers here:
https://t.co/cDaM3SXwxK