All Questions
Tagged with duality compactification
9
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Identical OPE behaviour of CFT of T-dual $X’^{\mu}$ of $X^{\mu}$
In chapter $8$ (String theory vol $\mathrm{I}$) sec $8.3$ Polchinski states that
The field $X’^{25}$ has same OPE and energy momentum tensor as $X^{25}$ the minus signs always entering in pair
$$X^{...
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2
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339
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Some questions about the compact boson in David Tong's notes on Gauge Theory
The notes can be found at http://www.damtp.cam.ac.uk/user/tong/gaugetheory.html.
In Sec. 7.5.1, T-Duality, around Eq. 7.51, it says that the Bianchi identity $\partial_\mu(\epsilon^{\mu\nu}\partial_\...
5
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$T$-duality in effective gauge theories of a $D(p+1)$-brane
I am considering a $D(p+1)$-brane in a space $\mathbb R^{1,p}\times S_R^1$ where $S_R^1$ is the circle of radius $R$. I am assuming low energies $ER\ll1$, so that only the massless spectrum of the ...
11
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730
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What is really M-theory? (non-pertubatively)
I don´t really understand what M-theory is supposed to be. Going beyond the dualities relating different string theories (for example the common $11-D$ limit of IIA and $E_{8}\times E_{8}$) I don't ...
10
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How does one actually apply the M-theory/heterotic duality "fiberwise"?
It seems to be generally accepted ([1], [2]) that one can apply the duality between a $T^3$ compactification of heterotic string theory and a $\mathrm{K3}$ compactification of M-theory "fiberwise&...
2
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1
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809
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Moduli space of torus compactifications
I am trying to understand some general statements made in the lecture notes by Vafa entitled "Lectures on Strings and Dualities" concerning toroidal compactifications (arXiv:hep-th/9702201).
Question ...
4
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Type I string theory on $K3 \times \mathbb T^2/\mathbb Z_2$ and the K3 orbifold limit
Consider Type IIB string theory with 4 O7-planes and 32 D7-branes on $K3 \times \mathbb T^2/\mathbb Z_2$. The K3 induces D3-charge on their world-volumes which can be cancelled by the introduction of ...
2
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1
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180
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The equivalence of two worlds related by T-duality
T-duality in string theory relates a world containing open and closed strings with a D$p$-brane with a compact dimension with radius $R$ with a dual world with a D$(p-1)$-brane with a radius $R'=\...
5
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${f=ma}$: a duality between F-theory and M-theory?
$$F = M \Big|_{A(T^2) \to 0}$$
The above equation is the duality equation between F-theory and M-Theory on a vanishing 2-torus. What's the explanation for this equation?
Is there anything similar ...