Instanton corrections and Emergent Strings

Baume, Florent; Marchesano, Fernando; Wiesner, Max

doi:10.1007/jhep04(2020)174

Cited by 66 publications

(106 citation statements)

References 54 publications

Supporting

Mentioning

103

Contrasting

Order By: Relevance

“…and verified firmly on the special Kähler moduli space M K in [23,[28][29][30] and on the quaternionic manifold M Q [31,32], respectively.…”

Section: Jhep10(2020)045mentioning

confidence: 76%

“…For example, Ooguri and Vafa [88] proved that singularities at the conifold loci, which lie at the finite distance in the hypermultiplet moduli space M Q in type IIA, can be smoothed by the sum of the E2-Instanton corrections, see also the mirror dual-type IIB case in [89]. More relevant, the smoothing of infinite distance singularities in the same hypermultiplet moduli space M Q by infinite (D(-1)/1-) instantons has also been verified nicely in [31,32]. In our cases, the Kähler potentials K G2 indeed receives quantum corrections from M2-brane instantons, which reduce to the perturbative α corrections and the world-sheet instantons in a type IIA orientifold limit, and hence are expected to modify the metric in the moduli space M G2 .…”

Section: Removing the Infinite Distance Limitmentioning

confidence: 82%

“…It was also studied in [23] that the emergent tensionless fundamental string in the moduli space of 4d N = 2 vector multiplets receives quantum corrections and the classical "equi-dimensional" limit is obstructed by quantum effects, leading to a decompactification where Seiberg-Witten field theory emerges at the limit instead. Later on, the Emergent String Conjecture has also been discussed and verified nicely in the hypermultiplet moduli spaces of 4d N = 2 effective theories of type IIB and type I compactifications [31]. However, most of the discussions have been done in the context of 4d N = 2 theories (or their equivalents with eight supercharges) and it might lead to the question of whether the above statements might be resulted from special structures required by theories with eight supercharges.…”

Section: Introductionmentioning

confidence: 95%

“…As a by-product, we claim all the tensionless heterotic solitonic strings arising from wrapped D3-branes in F-theory compactifications studied in [27] regain non-zero tensions at infinite distance limits. Geometrically, we expect that the quantum corrections modify the classical moduli space such that the geodesic trajectory towards to the infinite distance limit is bent, and the infinite distance limit is obstructed at the quantum level, inspired by N = 2 examples studied in [31,32].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On TCS G2 manifolds and 4D emergent strings

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

In this note, we study the Swampland Distance Conjecture in TCS G2 manifold compactifications of M-theory. In particular, we are interested in testing a refined version — the Emergent String Conjecture, in settings with 4d N = 1 supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the K3-fiber in a TCS G2 manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conjecture. The tensionless string, however, receives quantum corrections. We check that these quantum corrections do modify the volume of the shrinking K3-fiber via string duality and hence make the string regain a non-vanishing tension at the quantum level, leading to a decompactification. Geometrically, the quantum corrections modify the metric of the classical moduli space and are expected to obstruct the infinite distance limit. We also comment on another possible type of infinite distance limit in TCS G2 compactifications, which might lead to a weakly coupled fundamental type II string theory.

show abstract

“…and verified firmly on the special Kähler moduli space M K in [23,[28][29][30] and on the quaternionic manifold M Q [31,32], respectively.…”

Section: Jhep10(2020)045mentioning

confidence: 76%

Section: Removing the Infinite Distance Limitmentioning

confidence: 82%

Section: Introductionmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

On TCS G2 manifolds and 4D emergent strings

2020

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…with f (n) = n for KK towers, or f (n) = √ n for the denser weakly coupled string spectrum [40][41][42][43]. This leads to a breakdown of the effective action for φ > λ −1 .…”

Section: Emergence Proposalmentioning

confidence: 99%

KKLT and the Swampland Conjectures

Blumenhagen

Brinkmann

Klaewer

et al. 2020

Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)

View full text Add to dashboard Cite

Recently, various swampland conjectures have been proposed that every UV complete effective field theory should satisfy. In particular, these deal with the properties of AdS and dS solutions arising in theories of quantum gravity. Mainly summarizing the results of our two previous articles [1, 2], we confront the string theory based KKLT scenario with these conjectures and argue that if quantum vacua as in the KKLT construction indeed exist, some of the conjectures receive some log-corrections. Furthermore we point out some new aspects not contained in the aforementioned two papers.

show abstract

Quasi-Jacobi forms, elliptic genera and strings in four dimensions

Lee

Lerche

Lockhart

et al. 2021

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate the interplay between the enumerative geometry of Calabi-Yau fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories. We argue that certain contributions to the elliptic genus are given by derivatives of modular or quasi-modular forms, which may encode BPS invariants of Calabi-Yau or non-Calabi-Yau threefolds that are embedded in the given fourfold. As a result, the elliptic genus is only a quasi-Jacobi form, rather than a modular or quasi-modular one in the usual sense. This manifests itself as a holomorphic anomaly of the spectral flow symmetry, and in an elliptic holomorphic anomaly equation that maps between different flux sectors. We support our general considerations by a detailed study of examples, including non-critical strings in four dimensions.For the critical heterotic string, we explain how anomaly cancellation is restored due to the properties of the derivative sector. Essentially, while the modular sector of the elliptic genus takes care of anomaly cancellation involving the universal B-field, the quasi-Jacobi one accounts for additional B-fields that can be present.Thus once again, diverse mathematical ingredients, namely here the algebraic geometry of fourfolds, relative Gromow-Witten theory pertaining to flux backgrounds, and the modular properties of (quasi-)Jacobi forms, conspire in an intriguing manner precisely as required by stringy consistency.

show abstract

Instanton corrections and Emergent Strings

Cited by 66 publications

References 54 publications

On TCS G2 manifolds and 4D emergent strings

On TCS G2 manifolds and 4D emergent strings

KKLT and the Swampland Conjectures

Quasi-Jacobi forms, elliptic genera and strings in four dimensions

Contact Info

Product

Resources

About