- #1

- 13

- 0

## Main Question or Discussion Point

Can somebody clarify how the formula for variation of the auxilliary worldsheet metric is obtained due to reparametrization of the worldsheet in string theory??

- Thread starter Jack2013
- Start date

- #1

- 13

- 0

Can somebody clarify how the formula for variation of the auxilliary worldsheet metric is obtained due to reparametrization of the worldsheet in string theory??

- #2

Ben Niehoff

Science Advisor

Gold Member

- 1,879

- 162

- #3

- 13

- 0

In D-branes Clifford J. Johnson page 30 Equation 2.26

- #4

Ben Niehoff

Science Advisor

Gold Member

- 1,879

- 162

[tex]X^\mu(\zeta^1, \zeta^2)[/tex]

and the worldsheet metric with "up" indices is

[tex]\gamma^{ab}(\zeta^1, \zeta^2) \frac{\partial}{\partial \zeta^a} \otimes \frac{\partial}{\partial \zeta^b}[/tex]

So, all you need to do is look at the infinitesimal variations of these expressions when you change coordinates

[tex]\zeta^a = \zeta^a(\xi^1, \xi^2)[/tex]

- Last Post

- Replies
- 1

- Views
- 330

- Last Post

- Replies
- 6

- Views
- 2K

- Last Post

- Replies
- 7

- Views
- 2K

- Replies
- 3

- Views
- 2K

- Replies
- 3

- Views
- 4K

- Replies
- 0

- Views
- 1K

- Replies
- 5

- Views
- 1K

- Replies
- 2

- Views
- 3K

- Replies
- 5

- Views
- 3K

- Last Post

- Replies
- 3

- Views
- 3K