Lagrangian for a supersymmetric point particle

Click For Summary

Discussion Overview

The discussion centers around the Lagrangian for a supersymmetric point particle, exploring its formulation and potential references for further study. Participants engage with the theoretical aspects of the Lagrangian, its components, and its implications in superstring theory.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant presents a proposed form of the Lagrangian, including terms involving the graviton and gravitino, and seeks references to support this formulation.
  • Another participant agrees with the proposed Lagrangian but suggests that verifying the constants through the equations of motion (eom) would be necessary.
  • A third participant expresses a desire for references discussing the Lagrangian, indicating its relevance to the worldsheet Lagrangian in superstring theory.
  • A later reply provides a specific reference to a problem in Becker, Becker, and Schwarz as a source for the Lagrangian.

Areas of Agreement / Disagreement

Participants generally agree on the form of the Lagrangian presented, though there is no consensus on the exact constants involved or the verification of the equations of motion. The discussion remains open regarding the references and implications of the Lagrangian.

Contextual Notes

Limitations include the lack of detailed discussion on the equations of motion and the specific constants in the Lagrangian, which are not fully resolved in the thread.

jdstokes
Messages
520
Reaction score
1
Does anyone know where I can find the lagrangian for this?

From memory I believe it looks something like

[itex]S = \frac{1}{2} \int \frac{d\tau}{e}[\dot{X}^2 +i \dot{\psi}{\psi}-2ie\nu \dot{X} \psi][/itex]

where e is the graviton and nu is the gravitino. Does anyone know of a reference that supports this?
 
Physics news on Phys.org
That looks correct to me up to constants in front of each term. If you solve the eom you could verify that the constants are correct or not.
 
Hi Haelfix,

Thanks for your response. I do not have the equations of motion handy so I was hoping someone might know of a reference which discusses this.

I believe this Lagrangian can be used to motivate the worldsheet Lagrangian in superstring theory.
 
For future reference, the answer can be found in problem 4.1 of Becker, Becker and Shwarz.
 

Similar threads

  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 0 ·
Replies
0
Views
2K