Massless Spectra and Gauge Couplings at One-Loop on Non-Factorisable Toroidal Orientifolds

Abstract

So-called `non-factorisable' toroidal orbifolds can be rewritten in a factorised form as a product of three two-tori by imposing an additional shift symmetry. This finding of Blaszczyk et al., arXiv:1111.5852, provides a new avenue to Conformal Field Theory methods, by which the vector-like massless matter spectrum - and thereby the type of gauge group enhancement on orientifold invariant fractional D6-branes - and the one-loop corrections to the gauge couplings in Type IIA orientifold theories can be computed in addition to the well-established chiral matter spectrum derived from topological intersection numbers among three-cycles. We demonstrate this framework for the ${\mathbb{Z}}_4\times \Omega \mathcal{R}$ orientifolds on the $A_3\times A_1\times B_2$-type torus. As observed before for factorisable backgrounds, also here the one-loop correction can drive the gauge groups to stronger coupling as demonstrated by means of a four-generation Pati-Salam example.

arXiv comment65 pages, 10 figures; v3: matches published version (ref + explanatory remarks added)

References in corpus (59)

• D-Branes And K-Theory
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Flux compactifications in string theory: a comprehensive review
• Toward Realistic Intersecting D-Brane Models
• Open Strings
• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• Three-Family Supersymmetric Standard-like Models from Intersecting Brane Worlds
• Getting just the Standard Model at Intersecting Branes
• D-brane Instantons in Type II String Theory
• Scattering of Gauge, Matter, and Moduli Fields from Intersecting Branes
• The Standard Model from Stable Intersecting Brane World Orbifolds
• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• Conformal Field Theory Couplings for Intersecting D-branes on Orientifolds
• D-brane probes, RR tadpole cancellation and K-theory charge
• Supersymmetric Z_N times Z_M Orientifolds in 4D with D-Branes at Angles
• Supersymmetric 4D Orientifolds of Type IIA with D6-branes at Angles
• Lectures on Generalized Complex Geometry for Physicists
• Gauge couplings in four-dimensional Type I string orbifolds
• Getting just the Supersymmetric Standard Model at Intersecting Branes on the Z6-orientifold
• Magnetized orbifold models
• Interactions in Intersecting Brane Models
• Gauge Threshold Corrections in Intersecting Brane World Models
• N-point Amplitudes in Intersecting Brane Models
• Discrete gauge symmetries in D-brane models
• Chiral supersymmetric models on an orientifold of Z_4 x Z_2 with intersecting D6-branes
• Moduli Stabilization in Type IIB Orientifolds (I)
• Life at the Interface of Particle Physics and String Theory
• Threshold effects in open-string theory
• Magnetized Four-Dimensional $Z_2\times Z_2$ Orientifolds
• Comment on the Generation Number in Orbifold Compactifications
• To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models
• Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds
• The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
• Mapping an Island in the Landscape
• Thresholds for Intersecting D-branes Revisited
• Complete Gauge Threshold Corrections for Intersecting Fractional D6-Branes: The Z6 and Z6' Standard Models
• String Constraints on Discrete Symmetries in MSSM Type II Quivers
• The Importance of Being Rigid: D6-Brane Model Building on T6/Z2xZ6' with Discrete Torsion
• Type I Vacua from Diagonal $Z_3$-Orbifolds
• Scherk-Schwarz Breaking and Intersecting Branes
• Type IIA Orientifolds on General Supersymmetric Z_N Orbifolds
• Towards the supersymmetric standard model from intersecting D6-branes on the Z_6' orientifold
• Almost the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold
• Kaehler metrics and gauge kinetic functions for intersecting D6-branes on toroidal orbifolds - The complete perturbative story
• Intersecting Brane Worlds at One Loop
• Stringy Instanton Effects in Models with Rigid Magnetised D-branes
• Discrete Abelian gauge symmetries and axions
• Constructing the supersymmetric Standard Model from intersecting D6-branes on the Z_6' orientifold
• Oddness from Rigidness
• Orientifold's Landscape: Non-Factorisable Six-Tori
• D6-Brane Model Building on Z(2)xZ(6): MSSM-like and Left-Right Symmetric Models
• Rigour and Rigidity: Systematics on particle physics D6-brane models on Z(2)xZ(6)
• Non-perturbative transitions among intersecting-brane vacua
• Kähler moduli stabilization in semi-realistic magnetized orbifold models
• Circling the Square: Deforming fractional D-branes in Type II/$\Omega \mathcal{R}$ orientifolds
• From Type II string theory towards BSM/dark sector physics
• Generalized geometry lectures on type II backgrounds
• Deforming D-brane models on $T^6/({\mathbb{Z}}_2\times {\mathbb{Z}}_{2M})$ orbifolds
• Model building on the non-factorisable type IIA ${\mathbf{T}}^6/({\mathbb{Z}}_4\times \mathbf{\Omega }\mathcal{R})$ orientifold

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