On Boundary State Screening via Solitons

Abstract

We present a coarse classification scheme for the boundary data of massive QFTs based on transitions of boundary states via soliton / kink profiles. Starting from the lattice of boundary states, we introduce the boundary screening group 𝔹: the equivalence classes of boundary states which cannot be connected by such transitions. In string theory backgrounds which geometrically engineer an interacting QFT in the target space, 𝔹 computes the worldsheet analog of the target space defect group 𝔻. When 𝔹 is non-zero, it provides a diagnostic for having a target space with non-normalizable modes. For interfaces between QFTs, similar considerations imply the existence of a non-trivial conserved charge associated with soliton absorption / transmission, which means that the interface cannot fully dissolve / disappear. Similar considerations hold for junctions of QFTs, which in the special case of string worldsheet CFTs translate to junctions of string theories. We illustrate these general considerations with a number of non-geometric 2D 𝒩 = (2,2) Landau-Ginzburg models, as well as their natural lifts to 4D 𝒩 = 1 Wess-Zumino models.

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BibTeX RIS

BibTeX

@misc{chakrabhavi2026boundary,
  title = {{On Boundary State Screening via Solitons}},
  author = {Vivek Chakrabhavi and Babak Haghighat and Jonathan J. Heckman},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.40777},
  eprint = {2610.40777},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.40777},
}

RIS

TY  - UNPB
TI  - On Boundary State Screening via Solitons
AU  - Vivek Chakrabhavi
AU  - Babak Haghighat
AU  - Jonathan J. Heckman
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.40777
UR  - https://arxiv.org/abs/2610.40777
AB  - We present a coarse classification scheme for the boundary data of massive QFTs based on transitions of boundary states via soliton / kink profiles. Starting from the lattice of boundary states, we introduce the boundary screening group 𝔹: the equivalence classes of boundary states which cannot be connected by such transitions. In string theory backgrounds which geometrically engineer an interacting QFT in the target space, 𝔹 computes the worldsheet analog of the target space defect group 𝔻. When 𝔹 is non-zero, it provides a diagnostic for having a target space with non-normalizable modes. For interfaces between QFTs, similar considerations imply the existence of a non-trivial conserved charge associated with soliton absorption / transmission, which means that the interface cannot fully dissolve / disappear. Similar considerations hold for junctions of QFTs, which in the special case of string worldsheet CFTs translate to junctions of string theories. We illustrate these general considerations with a number of non-geometric 2D 𝒩 = (2,2) Landau-Ginzburg models, as well as their natural lifts to 4D 𝒩 = 1 Wess-Zumino models.
ER  -

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