Comentarios en: is Spin(8) triality the missing ingredient for SUSY in Connes’ approach? /blog/is-spin8-triality-the-missing-ingredient-for-susy-in-connes-approach/ Un blog de Alejandro Rivero Tue, 19 Sep 2023 22:01:23 +0000 hourly 1 https://wordpress.org/?v=6.5.3 Por: Alejandro /blog/is-spin8-triality-the-missing-ingredient-for-susy-in-connes-approach/#comment-6161 Tue, 19 Sep 2023 22:01:23 +0000 /blog/?p=2224#comment-6161 Ah yep, Boya was a fan of the “M(ysterious) Patterns in SO(9)” thing.

]]> Por: Mitchell Porter /blog/is-spin8-triality-the-missing-ingredient-for-susy-in-connes-approach/#comment-6095 Wed, 13 Sep 2023 12:45:29 +0000 /blog/?p=2224#comment-6095 This also takes me back to the «M-theory phenomenology homework» of trying to understand the superpartners of the 11d C-field.

It must be possible to understand, visually and combinatorially, how and why the superpartners of an 11d spinor-vector (the 11d gravitino) organize themselves into an 11d symmetric second-rank tensor (the 11d metric) and an 11d antisymmetric 3-form (the C-field).

I get these descriptions from «M(ysterious) Patterns in SO(9)» coauthored by Ramond:

https://arxiv.org/abs/hep-th/9808190

… And then to understand what happens to these fermions, when compactified e.g. on T^7 and S^7. (As a warmup for compactification on Witten spaces, perhaps.)

]]> Por: Alejandro Rivero /blog/is-spin8-triality-the-missing-ingredient-for-susy-in-connes-approach/#comment-5842 Fri, 18 Aug 2023 21:27:16 +0000 /blog/?p=2224#comment-5842 Indeed. Baez did a lot of notes in his «this week…» about this.

]]> Por: Mitchell Porter /blog/is-spin8-triality-the-missing-ingredient-for-susy-in-connes-approach/#comment-5841 Wed, 16 Aug 2023 12:32:44 +0000 /blog/?p=2224#comment-5841 I don’t know what you’re thinking but those triality representations show up in the massless states of the uncompactified Type IIA string (which is the one that grows an extra dimension and becomes the M2 brane of M theory at strong coupling)

https://ncatlab.org/nlab/files/MajerSuperstrings.pdf equation 1.30

https://en.wikipedia.org/wiki/Type_II_string_theory#Type_IIA_string_theory

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