RECORD
Worldsheet (anti)instanton bound states in type II on $T^2$
High Energy Physics - Theory · Submitted 6 Mar 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We solve this eigenvalue equation to obtain the complete structure of the worldsheet (anti)instanton contributions.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
The 1/8 BPS $D^6\mathcal{R}^4$ coupling in type II string theory compactified on $T^2$ receives contributions from worldsheet instantons and anti-instantons wrapping the $T^2$, up to genus three in string perturbation theory. These involve contributions separately from bound states of instantons and anti-instantons, which are qualitatively similar to such contributions to the 1/2 and 1/4 BPS couplings. At genus two, the $D^6\mathcal{R}^4$ coupling also receives contributions from instanton/anti-instanton bound states unlike the 1/2 and 1/4 BPS couplings, which is a consequence of a T-duality invariant eigenvalue equation a term in the coupling satisfies. We solve this eigenvalue equation to obtain the complete structure of the worldsheet (anti)instanton contributions. In the type IIB theory, strong weak coupling duality leads to certain contributions involving bound states of D string (anti)instantons wrapping the $T^2$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The 1/8 BPS $D^6\mathcal{R}^4$ coupling in type II string theory compactified on $T^2$ receives contributions from worldsheet instantons and anti-instantons wrapping the $T^2$, up to genus three in string perturbation theory. | background 0.48 | 0.25 | 0.16 | asserted 1.00 |
| s1 | These involve contributions separately from bound states of instantons and anti-instantons, which are qualitatively similar to such contributions to the 1/2 and 1/4 BPS couplings. | result 0.46 | 0.26 | 0.07 | asserted 0.99 |
| s2 | At genus two, the $D^6\mathcal{R}^4$ coupling also receives contributions from instanton/anti-instanton bound states unlike the 1/2 and 1/4 BPS couplings, which is a consequence of a T-duality invariant eigenvalue equation a term in the coupling satisfies. | result 0.81 | 0.39 | 0.29 | asserted 1.00 |
| s3 | We solve this eigenvalue equation to obtain the complete structure of the worldsheet (anti)instanton contributions. | method 0.46 | 0.95 | 0.31 | asserted 1.00 |
| s4 | In the type IIB theory, strong weak coupling duality leads to certain contributions involving bound states of D string (anti)instantons wrapping the $T^2$. | background 0.68 | 0.17 | 0.06 | asserted 0.99 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
The 1/8 BPS $D^6\mathcal{R}^4$ coupling in type II string theory compactified on $T^2$ receives contributions from worldsheet instantons and anti-instantons wrapping the $T^2$, up to genus three in string perturbation theory. These involve contributions separately from bound states of instantons and anti-instantons, which are qualitatively similar to such contributions to the 1/2 and 1/4 BPS couplings. At genus two, the $D^6\mathcal{R}^4$ coupling also receives contributions from instanton/anti-instanton bound states unlike the 1/2 and 1/4 BPS couplings, which is a consequence of a T-duality invariant eigenvalue equation a term in the coupling satisfies. We solve this eigenvalue equation to obtain the complete structure of the worldsheet (anti)instanton contributions. In the type IIB theory, strong weak coupling duality leads to certain contributions involving bound states of D string (anti)instantons wrapping the $T^2$.
Human review
How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 19 sentences without a confident label
Compares with 1 paper
-
Now using the relation ∑_n=1^∞_p (n) _q (n)/n^r = ζ(r)ζ(r-p)ζ(r-q)ζ(r-p-q)/ζ(2r -p-q),we see that F_0,2 (T_2) = ζ(3)ζ(5)/4πT_2^3+∑_n=1^∞Q_n (T_2) e^-4πn T_2.Thus from p and p1, we have that F_0 (T_2) = F_0,1 (T_2) + F_0,2 (T_2)in precise agreement with this result obtained using a different method in [ref] .
The D^6 R^4 term in type IIB string theory on T^2 and U-duality · The solution for $I_n_1,n_2 (T_2)$ · 1.00
Cites as background 17 papers
-
The 1/8 BPS couplings have also been analyzed from the worldsheet perspective in [ref] , and from the spacetime point of view in [ref] .
Recursion Relations from Space-time Supersymmetry · Introduction · 0.97
-
The 1/8 BPS couplings have also been analyzed from the worldsheet perspective in [ref] , and from the spacetime point of view in [ref] .
The closed-string 3-loop amplitude and S-duality · Introduction · 0.97
-
The 1/8 BPS couplings have also been analyzed from the worldsheet perspective in [ref] , and from the spacetime point of view in [ref] .
Matching the $D^6 {\cal R}^4$ interaction at two-loops · Introduction · 0.97
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.