Comments on T-dualities of Ramond-Ramond Potentials

Hirokazu Tanaka; Masafumi Fukuma; Takeshi Oota

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Comments on T-dualities of Ramond-Ramond Potentials

Masafumi Fukuma, Takeshi Oota, Hirokazu Tanaka

High Energy Physics - Theory · Submitted 15 Jul 1999

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We give a simple proof that if these new potentials transform as a Majorana-Weyl spinor of SO(d, d; Z), the effective actions are indeed invariant under the T-duality group.

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The type IIA/IIB effective actions compactified on T^d are known to be invariant under the T-duality group SO(d, d; Z) although the invariance of the R-R sector is not so direct to see. Inspired by a work of Brace, Morariu and Zumino,we introduce new potentials which are mixture of R-R potentials and the NS-NS 2-form in order to make the invariant structure of R-R sector more transparent. We give a simple proof that if these new potentials transform as a Majorana-Weyl spinor of SO(d, d; Z), the effective actions are indeed invariant under the T-duality group. The argument is made in such a way that it can apply to Kaluza-Klein forms of arbitrary degree. We also demonstrate that these new fields simplify all the expressions including the Chern-Simons term.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The type IIA/IIB effective actions compactified on T^d are known to be invariant under the T-duality group SO(d, d; Z) although the invariance of the R-R sector is not so direct to see.	background 0.91	0.05	0.06	asserted 1.00
s1	Inspired by a work of Brace, Morariu and Zumino,we introduce new potentials which are mixture of R-R potentials and the NS-NS 2-form in order to make the invariant structure of R-R sector more transparent.	contribution 0.96	0.91	0.09	asserted 0.95
s2	We give a simple proof that if these new potentials transform as a Majorana-Weyl spinor of SO(d, d; Z), the effective actions are indeed invariant under the T-duality group.	result 0.55	0.93	0.64	asserted 0.99
s3	The argument is made in such a way that it can apply to Kaluza-Klein forms of arbitrary degree.	contribution 0.44	0.81	0.07	asserted 0.93
s4	We also demonstrate that these new fields simplify all the expressions including the Chern-Simons term.	result 0.94	0.95	0.17	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.87 · evidence from proof or derivation 1.00.

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Original abstract

The type IIA/IIB effective actions compactified on T^d are known to be invariant under the T-duality group SO(d, d; Z) although the invariance of the R-R sector is not so direct to see. Inspired by a work of Brace, Morariu and Zumino,we introduce new potentials which are mixture of R-R potentials and the NS-NS 2-form in order to make the invariant structure of R-R sector more transparent. We give a simple proof that if these new potentials transform as a Majorana-Weyl spinor of SO(d, d; Z), the effective actions are indeed invariant under the T-duality group. The argument is made in such a way that it can apply to Kaluza-Klein forms of arbitrary degree. We also demonstrate that these new fields simplify all the expressions including the Chern-Simons term.

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How the literature uses it

21 arXiv papers cite this in 38 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 25 sentences without a confident label

Uses its method or tool 4 papers

In this we make significant use of the work of Fukuma, Oota, and Tanaka [ref] .

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We here follow the approach of [ref] that is based on [ref] and describe the R–R fields as an $(10,10)$ spinor.

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One way to work out the changes in the RR form fields, from Fukuma et al. [ref] , begins by writing them using a set of fermionic creation operators $ψ^m$.

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In their approach to type II double field theory [ref] , Hohm, Kwak, and Zwiebach described the Ramond-Ramond sector in terms of a (bosonic) spinor of $O(D,D)$, an idea dating back to [ref] .

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In this section, we will discuss the emergence of the duality group in toroidal compactifications of the bosonic sector of type II theories, as outlined in [ref] .

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In an important work, Fukuma, Oota and Tanaka [ref] discussed the IIA and IIB supergravity limits of superstrings compactified on a torus $T^d$.

Double Field Theory of Type II Strings · Introduction and summary · 0.84

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