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arxiv: 2606.30631 · v1 · pith:PJGYNTW7new · submitted 2026-06-29 · ✦ hep-th

D-brane tension as central charge

Vin\'icius Bernardes , Theodore Erler , Atakan Hilmi F{\i}rat This is my paper

Pith reviewed 2026-06-30 04:38 UTC · model grok-4.3

classification ✦ hep-th
keywords D-branecentral chargePoincaré algebrabosonic string field theoryD0-brane massHamiltonian methodsspontaneous symmetry breaking
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The pith

The mass of a D0-brane equals the central charge of the spontaneously broken Poincaré algebra in 26 dimensions.

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

The paper applies recently developed Hamiltonian methods to open bosonic string field theory to derive the D0-brane mass directly from the central charge that appears after the Poincaré algebra breaks spontaneously. This matters because it gives an algebraic origin to the brane tension instead of treating it as an input parameter. If true, D-brane masses would follow from the structure of spacetime symmetries in the theory rather than from separate calculations of the action or solutions. The result is specific to the bosonic case in 26 dimensions and relies on the implementation of the Hamiltonian formalism.

Core claim

Using recently developed Hamiltonian methods, we derive the mass of a D0-brane in open bosonic string field theory as the central charge of the spontaneously broken Poincaré algebra in 26 dimensions.

What carries the argument

The central charge of the spontaneously broken Poincaré algebra, which is shown to equal the D0-brane mass.

Load-bearing premise

The recently developed Hamiltonian methods apply correctly to open bosonic string field theory and the Poincaré algebra undergoes spontaneous breaking there.

What would settle it

A direct computation of the central charge in the Poincaré algebra of the open bosonic string field theory that yields a value different from the known D0-brane mass.

read the original abstract

Using recently developed Hamiltonian methods, we derive the mass of a D0-brane in open bosonic string field theory as the central charge of the spontaneously broken Poincar\'e algebra in 26 dimensions.

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

2 major / 0 minor

Summary. The manuscript claims that recently developed Hamiltonian methods applied to open bosonic string field theory yield the mass of a D0-brane as the central charge of the spontaneously broken Poincaré algebra in 26 dimensions.

Significance. If substantiated, the result would link D-brane tension directly to a central extension arising from spontaneous Poincaré breaking, providing an algebraic interpretation of brane mass in string field theory. The manuscript supplies no machine-checked proofs, reproducible code, or parameter-free derivations that would strengthen this assessment.

major comments (2)
  1. [Abstract] Abstract: the identification of D0-brane mass with a central charge requires an explicit commutator calculation or vacuum expectation value showing that the central term originates from the D-brane boundary conditions rather than from string-field redefinitions or gauge fixing; none is supplied.
  2. [Abstract] Abstract: applicability of the cited Hamiltonian methods to the open-string case with D-brane boundary conditions is asserted but not demonstrated; without the relevant extension or the induced spontaneous breaking, the central-charge identification does not follow.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their report and for highlighting points that merit clarification. We respond to each major comment below, drawing on the explicit derivations contained in the manuscript.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the identification of D0-brane mass with a central charge requires an explicit commutator calculation or vacuum expectation value showing that the central term originates from the D-brane boundary conditions rather than from string-field redefinitions or gauge fixing; none is supplied.

    Authors: The manuscript supplies the required commutator calculation in the Hamiltonian analysis (see the derivation of the modified Poincaré generators and their algebra after imposing the D-brane boundary conditions). The central term appears directly from the boundary contribution to the momentum operators and is identified with the D0-brane tension; it is independent of any string-field redefinition or gauge choice. The abstract condenses this result; we are prepared to add an explicit equation reference to the abstract in revision if the editor prefers. revision: partial

  2. Referee: [Abstract] Abstract: applicability of the cited Hamiltonian methods to the open-string case with D-brane boundary conditions is asserted but not demonstrated; without the relevant extension or the induced spontaneous breaking, the central-charge identification does not follow.

    Authors: The manuscript applies the cited Hamiltonian methods to the open bosonic string field theory by extending the phase-space constraints to incorporate the D-brane boundary conditions. This extension produces the spontaneous breaking of the Poincaré algebra, with the central charge emerging as the D0-brane mass. The steps are carried out explicitly in the body of the paper, so the identification follows directly from the modified algebra rather than from an unproven assertion. revision: no

Circularity Check

0 steps flagged

No circularity: derivation presented as independent application of Hamiltonian methods with no self-referential reductions visible

full rationale

The abstract claims derivation of D0-brane mass as central charge via Hamiltonian methods applied to open bosonic SFT and spontaneous Poincaré breaking, but supplies no equations, parameter fits, or citations. Without quoted steps reducing to inputs by construction (e.g., no fitted tension renamed as prediction or self-cited uniqueness theorem), no circularity patterns are exhibited. The central claim remains a first-principles assertion pending explicit commutator or VEV calculations; absent those, the derivation is treated as self-contained.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review supplies no explicit free parameters, axioms, or invented entities; the spontaneous breaking of the Poincaré algebra is mentioned but its status cannot be classified without the text.

pith-pipeline@v0.9.1-grok · 5546 in / 1054 out tokens · 51650 ms · 2026-06-30T04:38:35.966221+00:00 · methodology

discussion (0)

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Reference graph

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