A Type IIB Dualifold
Abstract
We present evidence that ten-dimensional type IIB string theory orbifolded by the ℤ3 duality symmetry at the strong-coupling fixed point τ=exp(2πi/3) defines a consistent theory. Motivated by its F-theory dual description and its duality with M-theory in nine dimensions and type IIA string theory in eight dimensions, we argue that the resulting theory is a ten-dimensional chiral non-supersymmetric theory with a discrete gauge symmetry whose bosonic part is the automorphism group of the Narain lattice Γ2,2(A2) (S3 × S3 × ℤ2). We further identify the ten-dimensional tachyon fields with the corresponding Narain moduli. Gauge anomalies cancel nontrivially through a topological Green-Schwarz mechanism involving a ℤ3-valued two-form gauge symmetry: the ten-dimensional lift of the familiar zero-form orbifold quantum symmetry in the eight-dimensional type IIA description.
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BibTeX
@misc{baykara2026type,
title = {{A Type IIB Dualifold}},
author = {Zihni Kaan Baykara and Cumrun Vafa},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.20915},
eprint = {2609.20915},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20915},
}
RIS
TY - UNPB
TI - A Type IIB Dualifold
AU - Zihni Kaan Baykara
AU - Cumrun Vafa
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2609.20915
UR - https://arxiv.org/abs/2609.20915
AB - We present evidence that ten-dimensional type IIB string theory orbifolded by the ℤ_3 duality symmetry at the strong-coupling fixed point τ=exp(2πi/3) defines a consistent theory. Motivated by its F-theory dual description and its duality with M-theory in nine dimensions and type IIA string theory in eight dimensions, we argue that the resulting theory is a ten-dimensional chiral non-supersymmetric theory with a discrete gauge symmetry whose bosonic part is the automorphism group of the Narain lattice Γ^2,2(A_2) (S_3 × S_3 × ℤ_2). We further identify the ten-dimensional tachyon fields with the corresponding Narain moduli. Gauge anomalies cancel nontrivially through a topological Green-Schwarz mechanism involving a ℤ_3-valued two-form gauge symmetry: the ten-dimensional lift of the familiar zero-form orbifold quantum symmetry in the eight-dimensional type IIA description.
ER -