Holomorphic variables in magnetized brane models with continuous Wilson lines

Cezar Condeescu; Emilian Dudas; Pablo G. Camara

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Holomorphic variables in magnetized brane models with continuous Wilson lines

Pablo G. Camara, Cezar Condeescu, Emilian Dudas

High Energy Physics - Theory · Submitted 17 Dec 2009

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The authors' main claim We identify the holomorphic N = 1 variables for these compactifications.

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arXiv ID0912.3369 (version 2)

Pith IDK7WWEZ6F, Pith's permanent record of this paper and its review

CitationCezar Condeescu, Emilian Dudas, Pablo G. Camara. "Holomorphic variables in magnetized brane models with continuous Wilson lines." arXiv:0912.3369 (2009). https://pith.science/paper/K7WWEZ6F

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We analyze the action of the target-space modular group in toroidal type IIB orientifold compactifications with magnetized D-branes and continuous Wilson lines. The transformation of matter fields agree with that of twisted fields in heterotic compactifications, constituting a check of type I/heterotic duality. We identify the holomorphic N = 1 variables for these compactifications. Matter fields and closed string moduli are both redefined by open string moduli. The redefinition of matter fields can be read directly from the perturbative Yukawa couplings, whereas closed string moduli redefinitions are obtained from D-brane instanton superpotential couplings. The resulting expressions reproduce and generalize, in the presence of internal magnetic fields, previous results in the literature.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We analyze the action of the target-space modular group in toroidal type IIB orientifold compactifications with magnetized D-branes and continuous Wilson lines.	contribution 0.98	0.91	0.06	asserted 0.93
s1	The transformation of matter fields agree with that of twisted fields in heterotic compactifications, constituting a check of type I/heterotic duality.	interpretation 0.67	0.71	0.20	asserted 0.99
s2	We identify the holomorphic N = 1 variables for these compactifications.	contribution 0.61	0.96	0.28	asserted 1.00
s3	Matter fields and closed string moduli are both redefined by open string moduli.	result 0.90	0.83	0.17	asserted 1.00
s4	The redefinition of matter fields can be read directly from the perturbative Yukawa couplings, whereas closed string moduli redefinitions are obtained from D-brane instanton superpotential couplings.	method 0.87	0.85	0.17	asserted 1.00
s5	The resulting expressions reproduce and generalize, in the presence of internal magnetic fields, previous results in the literature.	result 0.73	0.86	0.41	asserted 1.00

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Original abstract

We analyze the action of the target-space modular group in toroidal type IIB orientifold compactifications with magnetized D-branes and continuous Wilson lines. The transformation of matter fields agree with that of twisted fields in heterotic compactifications, constituting a check of type I/heterotic duality. We identify the holomorphic N = 1 variables for these compactifications. Matter fields and closed string moduli are both redefined by open string moduli. The redefinition of matter fields can be read directly from the perturbative Yukawa couplings, whereas closed string moduli redefinitions are obtained from D-brane instanton superpotential couplings. The resulting expressions reproduce and generalize, in the presence of internal magnetic fields, previous results in the literature.

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References

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Non-Abelian discrete gauge symmetries in 4d string models
hep-th 2012-06 accept novelty 6.0 of 10

Non-Abelian discrete gauge symmetries arise in 4d string compactifications from gauged isometries of axion manifolds, and in magnetized brane models they enforce exact selection rules on Yukawa couplings, including ra...
RR photons
hep-th 2011-05 conditional novelty 6.0 of 10

Ramond-Ramond U(1) gauge bosons in type II compactifications mix with D-brane U(1)'s through torsion cycles, producing massless gauge bosons that are linear combinations of open and closed string states.
The Type IIA Flux Potential, 4-forms and Freed-Witten anomalies
hep-th 2018-02 conditional novelty 5.0 of 10

The full classical flux potential of type IIA Calabi-Yau orientifolds factorizes into a bilinear form whose axion dependence is fixed by Freed-Witten anomalies of 4d string defects.
Open string multi-branched and Kahler potentials
hep-th 2016-06 conditional novelty 5.0 of 10

The combined open-closed F-term scalar potential in type II orientifolds is organized by discrete shift symmetries that dress RR fluxes with open string moduli, and the standard 4d supergravity formula reproduces the ...

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11 arXiv papers cite this in 23 sentences

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Papers citing it · 19 sentences without a confident label

Uses its method or tool 1 paper

In particular we will implement in our setup the reasoning of [ref] , in which the definition of holomorphic variables was related to their transformation under discrete shifts of the open string fields.

Open string multi-branched and Kahler potentials · Holomorphic variables and the Kähler potential · 0.91

Compares with it 1 paper

Performing dimensional reduction of this term we obtain -1/16κ_4^2 ∫_ℝ^1,3 dρ^α∧Im [ξ̅^a_i d ξ^a_j] (Im f^a)^ik (𝒞^a_α)^j_k , which closely resembles the result obtained in [ref] .

Open string multi-branched and Kahler potentials · Adding Wilson lines · 0.99

Cites it as background 2 papers

A systematic study of field redefinitions in the context of toroidal type IIB (orientifold) compactifications with magnetized D-branes and continuous Wilson lines was performed in [ref] .

Non-perturbative Vacuum Destabilization and D-brane Dynamics · Holomorphic fields in magnetized type I strings with Wilson lines · 0.83
The aim of this section is to describe the intersecting 7-brane models discussed in the text from the T-dual vantage point of magnetized D9-branes, which have been extensively studied for the purpose of computing Yukawa couplings [ref] .

Flux and Instanton Effects in Local F-theory Models and Hierarchical Fermion Masses · Magnetized D9-branes and KK modes · 0.85

What it cites · 74 sentences without a confident label

Builds on 2 papers

This can be easily done by taking three copies of eq.([ref]), one for each 2-torus [ref] .

Yukawa couplings in intersecting D-brane models · Modular transformation of matter fields · 0.89
This can be easily done by taking three copies of eq.([ref]), one for each 2-torus [ref] .

Computing Yukawa Couplings from Magnetized Extra Dimensions · Modular transformation of matter fields · 0.89

Uses the method or tool of 2 papers

For simplicity, however, here we just consider T-dualizing along two 2-tori.] From eqs.([ref]) and ([ref]), and making use of Poisson re-summation and the discrete Fourier transform of the $ϑ$-function [ref] , one may check that matter fields transform holomorphically as [equation] where in the T-dual setup, chiral variables are given in a new basis, [equation] with $r≠s≠k$.

Computing Yukawa Couplings from Magnetized Extra Dimensions · Modular transformation of matter fields · 0.82
More precisely, making use of the periodicity formula of the theta function, we express ([ref]) as, [equation] where we have redefined the Kähler modulus [ref] , [equation] Notice that blow-up moduli are not redefined in eq.([ref]).

Aspects of Type I - Type II - Heterotic Triality in Four Dimensions · Gaugino condensation · 0.83

Compares with 3 papers

The resulting expressions match the CFT computation performed in the type IIA side [ref] , up to global phases that we discuss below.

Yukawa couplings in intersecting D-brane models · Modular transformation of matter fields · 1.00
In particular, the results of [ref] and [ref] differ in such global phases.

Computing Yukawa Couplings from Magnetized Extra Dimensions · Modular transformation of matter fields · 0.95
The transformation rules that we find agree with the ones obtained for twisted fields in heterotic orbifold compactifications [ref] .

Moduli Spaces and Target Space Duality Symmetries in $(0,2)\; Z_N$ Orbifold Theories with Continuous Wilson Lines · Introduction · 1.00

Cites as background 14 papers

Efforts along that direction probably start with the computation of Yukawa couplings in [ref] , and extend until the recently developed D-brane instanton calculus which allows the computation of non-perturbative superpotential couplings in these models (see e.g. [ref] and references therein).

Interactions in Intersecting Brane Models · Introduction · 0.84
Efforts along that direction probably start with the computation of Yukawa couplings in [ref] , and extend until the recently developed D-brane instanton calculus which allows the computation of non-perturbative superpotential couplings in these models (see e.g. [ref] and references therein).

Yukawa couplings in intersecting D-brane models · Introduction · 0.84
Efforts along that direction probably start with the computation of Yukawa couplings in [ref] , and extend until the recently developed D-brane instanton calculus which allows the computation of non-perturbative superpotential couplings in these models (see e.g. [ref] and references therein).

Conformal Field Theory Couplings for Intersecting D-branes on Orientifolds · Introduction · 0.84

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