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M-theory on $S^1\vee S^1$ as Type 0A

Zihni Kaan Baykara, Emilian Dudas, Cumrun Vafa

Abstract

We propose an exotic geometric M-theory dual for the weak coupling Type 0A string: compactification on a sub-Planckian $S^1\vee S^1$ (two circles connected at a point), where strong quantum effects lead to fields living on distinct resolutions of that space. Moreover we argue that tachyon condensation of the 0A theory corresponds to shrinking of one of the two circles leading to the IIA supersymmetric string. We use this and other dualities to provide an F-theoretic description of the axio-dilaton and the tachyonic field of Type 0B and argue for the existence of a strong coupling critical point of the potential using the resulting duality symmetry $Γ_0(2)\subset SL(2,\mathbb{Z})$. The existence of this critical point can also be argued using conventional M-theory dualities. If this critical point is unique it is an unstable dS vacuum. Using this we propose a strong coupling conformal fixed point for a non-supersymmetric gauge theory in four dimensions living on coincident $D3^+-D3^-$branes of 0B.

M-theory on $S^1\vee S^1$ as Type 0A

Abstract

We propose an exotic geometric M-theory dual for the weak coupling Type 0A string: compactification on a sub-Planckian (two circles connected at a point), where strong quantum effects lead to fields living on distinct resolutions of that space. Moreover we argue that tachyon condensation of the 0A theory corresponds to shrinking of one of the two circles leading to the IIA supersymmetric string. We use this and other dualities to provide an F-theoretic description of the axio-dilaton and the tachyonic field of Type 0B and argue for the existence of a strong coupling critical point of the potential using the resulting duality symmetry . The existence of this critical point can also be argued using conventional M-theory dualities. If this critical point is unique it is an unstable dS vacuum. Using this we propose a strong coupling conformal fixed point for a non-supersymmetric gauge theory in four dimensions living on coincident branes of 0B.
Paper Structure (10 sections, 24 equations, 1 figure, 2 tables)

This paper contains 10 sections, 24 equations, 1 figure, 2 tables.

Table of Contents

  1. Introduction
  2. Type 0 strings
  3. Spectrum
  4. D-branes
  5. Spectrum
  6. Effective tension
  7. T-duality
  8. Difficulties with realizing 0A in M-theory
  9. M-theory on $S^1_A$ and 0A?
  10. M-theory with $(-1)^F$ orbifold and 0A?

Figures (1)

  • Figure 1: Type 0A obtained as the orbifold of Type IIA or Type ${\rm IIA}'$ by $(-1)^F$. The theory ${\rm IIA}'$ is related to IIA by the left–right mover exchange $\Omega$. This becomes a $\mathbb{Z}_2$ symmetry of Type 0A. The $(-1)^F$ orbifolds differ by an exchange of twisted and untwisted RR sectors.