Questions tagged [supergravity]
Supergravity is a classical supersymmetric unification theory that appears in low-energy classical limits of string theory.
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Decomposing $\mathcal N=2$ supersymmetry variations into $\mathcal N=1$ ones
Let's work in four-dimensional supergravity for concreteness. There, consider the $\mathcal N=2$ gravity multiplet $(g_{\mu\nu},\psi_\mu^i,A_\mu)$ consisting of the metric $g_{\mu\nu}$, two gravitini $...
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Difference between $\mathcal{N} = 4$ supersymmetry and $\mathcal{N} = 8$ supersymmetry
I'm reading Tong's lecture notes on SUSY. On Page 39 and 40, the author has discussed massless representations of $\mathcal{N} = 4$ SUSY and $\mathcal{N} = 8$ SUSY, and has said
If we start with $h = ...
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How to prove the transformation $\tau \to \frac{a\tau +b}{c\tau +d}$ in type IIB SUGRA?
Becker-Becker-Schwarz (BBS) on page 316 in the book "String theory and M-theory" state that the complex scalar field $$\tau =C_0 +ie^{-\Phi}\tag{8.64}$$ in type IIB SUGRA transforms ...
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When on-shell SUSY can't be made off-shell?
After being introduced to supersymmetry and doing some exercises for completing on-shell SUSY to a off-shell SUSY by adding auxiliary fields. I was under the naive impression that this was a simple ...
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Dine-Seiberg moduli
The Dine-Seiberg problem requires $\lim _{\Phi \to \infty } V(\Phi )=0$ where $V$ is the scalar superpotential. And in type IIB SUGRA, your moduli are essentially the axiodilaton, Kahler moduli and ...
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Graviphoton under dimensional reduction
When compactifying 11d supergravity on a circle, we find 10d Type IIA supergravity. The gauge field in the 10d $\mathcal{N}=2$ gravity multiplet, which I call graviphoton here, is the Kaluza-Klein ...
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Why $\rm AdS_5$ is ${\cal N}=8$ supergravity?
I am confused about how $AdS_5$, a maximally supersymmetric space, has ${\cal N}=8$.
Look: Suppose we obtain this solution by compactifying IIB theory on the space ( AdS_5 \times S^5 ). In this ...
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Is there a known correspondence between curved supersymmetric ambitwistor space and curved supermanifolds in four dimensions?
The nonlinear graviton construction in twistor theory gives a correspondence between anti-self-dual conformal manifolds and certain three dimensional complex manifolds, which generalizes the twistor ...
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Role of the 3-form in 11D Supergravity and How do matter and gauge fields arise from compactifying 11th dimension on $S^1$ vs $S^1 \times Z_2$
I’ve been reading about the compactifications of 11-dimensional supergravity and their connections to type IIA and $E_8 \times E_8$ heterotic string theories in 10 dimensions. I’m particularly ...
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Does String Theory Fall Under Its Own Weight?
There is an aspect of String Theory I am not clear on: the higher-dimensional background geometry. Is it flat or curved? If it is curved, then what describes or accounts for the back-reaction of the ...
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Torsion in heterotic supergravity
The two-derivative Lagrangian for heterotic supergravity is
$$e^{-1}\mathcal L=e^{-2\phi}\left[R-\frac{1}{12}H^2+4(\partial\phi)^2\right],$$
where $R$ is the Ricci scalar, $H$ is the three-form flux, ...
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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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Is a meV POSITIVE cosmological constant coherent with supersymmetry, supergravity or superstrings?
Context: 2024 evidence of positive cosmological constant, lack of supersymmetry evidences, value of ~meV for the energy scale of the observed cosmological constant.
Is a positive cosmological constant ...
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Would the electroweak interaction be possible in a space of odd dimension?
In order to describe well the electroweak interaction, chiral particle states are necessary. This works well in 4D (Minkowski) space, but it seems that it is not possible in a space of odd dimension (...
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How do I obtain the low energy supergravity actions from the 5 superstring theories?
In Domain-Walls and Gauged Supergravities by T.C. de Witt, there is a small table giving the 5 string theories and each of their effective sugras. I am looking for detailed reviews of how these sugras ...
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