Not signed in (Sign In)

# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Sign in using OpenID

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJan 16th 2012
• (edited Jan 16th 2012)

I have added to M5-brane a fairly detailed discussion of the issue with the fractional quadratic form on differential cohomology for the dual 7d-Chern-Simons theory action (from Witten (1996) with help of Hopkins-Singer (2005)).

In the new section Conformal blocks and 7d Chern-Simons dual.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeJan 16th 2012

I have now added the discussion of this effect more generally to the entry higher dimensional Chern-Simons theory in a new subsection Background charges and square root action functionals.

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJun 20th 2015
• (edited Jun 20th 2015)

With Domenico Fiorenza and Hisham Sati we are finalizing a note on The WZW term of the M5-brane (schreiber).

• CommentRowNumber4.
• CommentAuthorDavid_Corfield
• CommentTimeDec 20th 2017
• (edited Dec 21st 2017)

Which section of the references should this go?:

• CommentRowNumber5.
• CommentAuthorDavidRoberts
• CommentTimeDec 20th 2017

I don’t think that’s the correct link

• CommentRowNumber6.
• CommentAuthorDavid_Corfield
• CommentTimeDec 21st 2017

Oh yes, thanks, I’ve changed it to the right one.

• CommentRowNumber7.
• CommentAuthorUrs
• CommentTimeDec 21st 2017
• (edited Dec 21st 2017)

I have added it to the end of References – Worldvolume theory.

This deserves more discussion. But later.

• CommentRowNumber8.
• CommentAuthorUrs
• CommentTimeMay 1st 2018
• (edited May 1st 2018)

added pointer to Witten 95, about identifying the $\mathcal{N} =(2,0)$ black M5 at a transversal $\mathbb{R}^5 \sslash \mathbb{Z}_2$-orbifold singularitiy.

Removed the pointer to section 8.3 of “Half-BPS M2-brane orbifolds”. Closer inspection shows that the thing classified there is really the MK6, not the M5. I’ll give more details on the subtleties in a few days.

• CommentRowNumber9.
• CommentAuthorUrs
• CommentTimeMar 24th 2019

added a section on anomaly cancellation (here) – currently this is identical with the corresponding section at I8, just copied over

• CommentRowNumber10.
• CommentAuthorUrs
• CommentTimeMar 26th 2019

highlighted another subtlety in the computation of the M5 anomaly cancellation, and added further pointers to the literature (same edits also at I8)

• CommentRowNumber11.
• CommentAuthorUrs
• CommentTimeMar 26th 2019

I don’t understand that the term $G_W^2$ in (3.7) of arXiv:1310.2250 should be there.

I understand that in non-rational cohomology there is an extra torsion contribution on top of $L$, and that’s discussed in section 4 of arXiv:1110.4639. But in rational cohomology there should just remain the $L$-term in that (3.7), and then, it seems to me, there is lacking a condition/reason for the term with $G_W^2$ to vanish in rational cohomology.

Add your comments
• Please log in or leave your comment as a "guest post". If commenting as a "guest", please include your name in the message as a courtesy. Note: only certain categories allow guest posts.
• To produce a hyperlink to an nLab entry, simply put double square brackets around its name, e.g. [[category]]. To use (La)TeX mathematics in your post, make sure Markdown+Itex is selected below and put your mathematics between dollar signs as usual. Only a subset of the usual TeX math commands are accepted: see here for a list.

• (Help)