All Questions
Tagged with supergravity spinors
12 questions
2
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Is a spin connection with torsion possible whereas the affine connection is only Levi-Civita (torsion-free) in Supergravity?
In the paper "Simple Supergravity" from G. Dall'Agata & M. Zagermann (arXiv:2212.10044v2 15 Feb. 2023) on page 8 when it comes to the antisymmetric part of the covariant derivative of ...
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1
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1
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100
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Variation of Torsion-Free Spin Connection
In the book 'Supergravity' by Freedman and van Proeyen, in exercise (7.27) it is written
To calculate [the variation $\delta\omega_{\mu ab}$ of the torsion-free spin connection], consider the ...
- 372
4
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1
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66
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Counting number of equations for Rarita-Schwinger field (in Supergravity textbook)
I am reading the book "Supergravity" by Freedman and van Proeyen (2012). On page 96, they are talking about the equation of motion of massless vector-spinor field (the spinor index is ...
- 542
2
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1
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100
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Charge conjugation of symplectic Majorana spinors in 4+1 dimensions
In the book "Supergravity" written by Freedman & van Proeyen, a symplectic Majorana spinor is defined in eq. (3.86)
$$ \chi^i = \varepsilon^{ij} (\chi^j)^C, \tag{3.86}$$
where the upper ...
- 1,055
0
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1
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605
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Symplectic Majorana spinors in 5D
According to the book "Supergravity" written by Freedman & van Proeyen in 5D for the existence of Majorana spinors it is necessary to introduce so called sympletic ones which requires
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- 10.2k
3
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1
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1k
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Variation of the Spin Connection
I am trying to get an explicit expression for the variation $\delta \omega_{\mu}^{\ ab} / \delta e_\mu^a$, but when doing the actual variation I end up with a series of 16 terms that I cannot simplify ...
- 1,172
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202
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Geometry of spacetime and spinor bilinears
In this paper (http://arxiv.org/abs/0704.0247) p.20, the author says in the section titled Geometry of spacetime the following:
In order to obtain the spacetime geometry, we consider the spinor ...
- 1,436
2
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1
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134
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How do we know if a Killing Spinor is Time-like or Null?
How to know whether a Killing spinor orbit is time-like or null? This is present in a paper like this 29/39 here. I'm not asking for a technical answer, just a logical cliche answer chit-chat answer.
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- 1,539
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1
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271
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What are susy transformations for N=2 sugra?
Killing spinor equations are equations that result from supersymmetric transformations. One example of those is for example is in $N=2$ Supergravity theories.
As suggested by some books and papers on ...
- 1,539
2
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2
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569
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Local Lorentz transformations
If $\gamma^m$ denotes a tangent space gamma matrix, and $\gamma^\mu$ denotes a curved space gamma matrix, then they are related by
$$\gamma^\mu(x) = \gamma^m e_{m}^{\mu}(x)$$
where $e_{m}^{\mu}(x)$ ...
- 2,105
1
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1
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508
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Canonical spinors from gauge transformations
In this 2006 paper, http://arxiv.org/abs/hep-th/0610128, there is the concept of gauge transformation and how was it employed that I do not fully understand.
Note, what will be talked about below is ...
- 1,436
4
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707
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Killing spinor equation [closed]
The Supersymmetry transformation is:
$$\delta \psi_\mu^i=(\partial_\mu +1/4 \gamma^{ab}\omega_{\mu ab})\epsilon^i -1/8\sqrt{2}\kappa \gamma^{ab}F_{ab}\epsilon^{ij} \gamma_\mu \epsilon_j$$
For the ...
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