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arxiv: 2509.24703 · v2 · submitted 2025-09-29 · ✦ hep-th

Aspects of strings without spacetime supersymmetry

Giorgio Leone , Salvatore Raucci This is my paper

Pith reviewed 2026-05-18 12:48 UTC · model grok-4.3

classification ✦ hep-th
keywords non-supersymmetric stringstachyonsworldsheet tadpolesorientifold projectionsstring landscapeten-dimensional modelsoff-shell approaches
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The pith

Tachyons and worldsheet tadpoles challenge stable vacua in non-supersymmetric strings.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This review examines the main obstacles to finding stable string theory vacua when spacetime supersymmetry is absent. It explains the origin of tachyons in closed string spectra and their orientifold projections, along with off-shell techniques that can address these instabilities. The survey then focuses on tachyon-free ten-dimensional models and shows how tadpoles create additional constraints whose cancellation shapes the resulting spacetime physics. It closes by outlining recent efforts to chart the wider landscape of such models.

Core claim

In non-supersymmetric string constructions, tachyons appear in the spectra of closed strings and orientifold projections, and can be characterized through their worldsheet properties. Off-shell approaches provide tools to handle them beyond conventional on-shell methods. For tachyon-free ten-dimensional models, worldsheet tadpoles introduce further issues, and their cancellation produces concrete spacetime consequences for the field content and stability of the vacuum. The review synthesizes these elements and surveys ongoing attempts to explore the non-supersymmetric string landscape.

What carries the argument

Tachyons in closed strings and orientifold projections, together with worldsheet tadpoles whose cancellation is required in tachyon-free ten-dimensional models.

Load-bearing premise

The review assumes that the ten-dimensional models and recent landscape attempts it selects are representative of the main challenges in non-supersymmetric strings.

What would settle it

An explicit worldsheet computation for a specific orientifold projection that fails to reproduce the tachyon spectrum or tadpole structure described would test the characterizations in the survey.

read the original abstract

String theory relies on spacetime supersymmetry to guarantee the existence of stable vacua. In this review, we survey two features of non-supersymmetric strings that challenge both aspects: the appearance of tachyons and worldsheet tadpoles. We describe how tachyons arise, how to characterise their presence in closed strings and in their orientifold projections, and how off-shell approaches can be used to tackle them. We then turn to tachyon-free, non-supersymmetric strings. After introducing the simplest ten-dimensional models, we address the additional issues raised by tadpoles and the spacetime consequences of their cancellation. Finally, we discuss recent attempts to explore the non-supersymmetric string landscape.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 2 minor

Summary. The manuscript surveys aspects of string theory without spacetime supersymmetry. It covers the appearance and characterization of tachyons in closed strings and their orientifold projections, off-shell approaches to tackle tachyons, the simplest ten-dimensional tachyon-free non-supersymmetric models, the additional issues from tadpoles and spacetime consequences of their cancellation, and recent attempts to explore the non-supersymmetric string landscape.

Significance. The review is significant for providing a coherent structure to discuss key challenges in non-supersymmetric strings. It synthesizes literature on tachyons, tadpoles, and model building, which can aid researchers in navigating this area. No new derivations are presented, but the survey of prior work is a useful contribution if comprehensive.

major comments (1)
  1. [Ten-dimensional models section] The introduction of the simplest ten-dimensional models would benefit from an explicit statement of the selection criteria used, as this is central to assessing the generality of the tadpole cancellation consequences discussed.
minor comments (2)
  1. [Abstract] The abstract provides a good overview but could briefly indicate the main open questions or conclusions drawn from the survey.
  2. The paper should ensure that all technical terms, such as those related to orientifold projections, are defined at their first use for readers less familiar with the subfield.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the positive recommendation of minor revision. We address the single major comment below.

read point-by-point responses

  1. Referee: [Ten-dimensional models section] The introduction of the simplest ten-dimensional models would benefit from an explicit statement of the selection criteria used, as this is central to assessing the generality of the tadpole cancellation consequences discussed.

    Authors: We agree that an explicit statement of the selection criteria will improve clarity and help readers assess the generality of the tadpole cancellation results. In the revised manuscript we will add a brief paragraph in the relevant section stating that the models considered are the simplest tachyon-free, non-supersymmetric ten-dimensional string theories obtained from consistent heterotic constructions or orientifold projections that satisfy world-sheet modular invariance and level-matching conditions. This addition will directly address the referee's concern without altering the overall scope of the survey. revision: yes

Circularity Check

0 steps flagged

Review paper surveys prior literature with no new derivations or predictions

full rationale

This is a review article that describes existing results on tachyons in closed strings, orientifold projections, off-shell methods, and tachyon-free 10d models from the literature. No original derivation chain, quantitative prediction, or load-bearing assumption is advanced within the paper itself. All technical content is attributed to external citations, so no step reduces by construction to the paper's own inputs or self-citations. The presentation is self-contained as a survey.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

As a review, the paper does not introduce new free parameters, axioms, or invented entities; it discusses concepts from the existing string theory literature.

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