Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.
W3Counter Web Stats

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

PO is now at the Physics Department of Bielefeld University!

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public β tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

206 submissions , 164 unreviewed
5,106 questions , 2,251 unanswered
5,400 answers , 23,020 comments
1,470 users with positive rep
822 active unimported users
More ...

  Supersymmetries of the type IIB D3-brane action

+ 4 like - 0 dislike
1012 views

The following query is based on a reading of section 2.2 of a paper by Graña and Polchinski. The idea is to begin with the D3 brane action of the form

ds2=Z1/2ημνdxμdxν+Z1/2dxmdxn

where μ,ν=0,1,2,3 and m,n=4,5,,9 are indices along the longitudinal and transverse directions. Also, ημν=diag(1,0,0,0) and Z is a harmonic function (in the paper it is taken as Z=R4/r4 where R4=4πgNα2).

Now, type IIB superstring theory has two fermonic superpartners of the NSNS and RR fields, namely the dilatino and the gravitino, the supersymmetry transformations of which are given in terms of a spinor parameter ϵ in equations (2.1) and (2.2) of the paper. The authors further assert that for bosonic backgrounds, and for constant τ=C+ieΦ where C is the axion and Φ is the dilation, the dilatino variation is trivially zero. I understand this.

But when they set δψM=0 (M=0,1,,9) they seem to go from

δψM=1κDMϵ+i480γM1M5FM1M5ϵ

to

kδψM=μϵ18γμγw(1Γ4)ϵ

where Γ4=iγ0123, wm=mlnZ and γw=γmwm.

I am not sure how they arrive at this equation. What happened to the i/480 term?

This post imported from StackExchange Physics at 2015-04-29 18:25 (UTC), posted by SE-user leastaction
asked Apr 29, 2015 in Theoretical Physics by leastaction (425 points) [ no revision ]
Divide through your second equation by κ, with κ=8π7/2α2g, get i from Γ4 and express γω in terms of ωm.

This post imported from StackExchange Physics at 2015-04-29 18:25 (UTC), posted by SE-user Demosthene
What happened to the product of 5 gamma matrices?

This post imported from StackExchange Physics at 2015-04-29 18:25 (UTC), posted by SE-user leastaction

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol in the following word:
pysisOverflow
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
Please complete the anti-spam verification




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...