Holographic consistency and the sign of the Gauss-Bonnet parameter

Ong, Yen Chin

doi:10.1016/j.nuclphysb.2022.115939

Cited by 5 publications

(4 citation statements)

References 125 publications

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“…fixes the saxionic Gauss-Bonnet term in a large class of gravitational N = 1 supersymmetric effective actions to be positive. Our EFT string analysis therefore complements previous arguments for the positivity of these higher-derivative terms [24][25][26][27][28]. Second, (4.26) bounds the possible ranks of the gauge groups which can be coupled to an axionic sector as in (1.1).…”

Section: Jhep03(2023)197supporting

confidence: 68%

“…For instance this is necessary in order to suppress problematic wormhole effects [24]. More recently, [25] provides an argument for positivity based on unitarity in pure in pure d > 4 gravity, [26] discusses the implications of the sign on the non-perturbative (in)stability of simple dilatonic models, [27] shows how Gauss-Bonnet positivity follows from the WGC for certain black holes and [28] analyses constraints based on holography. In our context this would mean that Im f > 0 and then, as for the gauge theory sector, it would be natural to require that C, s > 0 , (2.21) or equivalently C ∈ C I .…”

Section: Jhep03(2023)197mentioning

confidence: 99%

“…On the other hand, according to the estimate of [19] the scaling weight is w = 1 and then the Emergent String Conjecture suggests the existence of a weakly coupled dual description in terms of F1 strings. 28 Without any additional assumption on the Kähler moduli, in this limit the only weakly coupled gauge sector is the one supported by D3-branes, and the total rank of the gauge group is simply given by the number n D3 of D3-branes. Taking the gauge group to be completely higgsed to U(1) n D3 , corresponding to non-coinciding D3-branes, one can expand the standard DBI action and identify the terms…”

Section: Jhep03(2023)197mentioning

confidence: 99%

“…n O3 96π a tr(R ∧ R) . (6.52) 28 For example, D7 strings in the toroidal models -see for instance [5] for a discussion in a similar spirit -can be T-dualized to a D1-string and S-dualized to an F1-string. 29 Note that the sign is fixed by requiring that the internal cycles wrapped by mutually supersymmetric D-branes are calibrated by −e iJ so that, for instance, D7-branes would be calibrated by 1 2 J ∧ J and then would wrap internal holomorphic cycles.…”

Section: Jhep03(2023)197mentioning

confidence: 99%

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Quantum gravity bounds on $$ \mathcal{N} $$ = 1 effective theories in four dimensions

Martucci

Risso

Weigand

2023

J. High Energ. Phys.

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We propose quantum gravitational constraints on effective four-dimensional theories with $$ \mathcal{N} $$ N = 1 supersymmetry. These Swampland constraints arise by demanding consistency of the worldsheet theory of a class of axionic, or EFT, strings whose existence follows from the Completeness Conjecture of quantum gravity. Modulo certain assumptions, we derive positivity bounds and quantization conditions for the axionic couplings to the gauge and gravitational sector at the two- and four-derivative level, respectively. We furthermore obtain general bounds on the rank of the gauge sector in terms of the gravitational couplings to the axions. We exemplify how these bounds rule out otherwise consistent effective supergravity theories as theories of quantum gravity. Our derivations of the quantum gravity bounds are tested and further motivated in concrete string theoretic settings. In particular, this leads to a sharper version of the bound on the gauge group rank in F-theory on elliptic four-folds with a smooth base, which improves the known geometrical Kodaira bounds. We furthermore provide a detailed derivation of the EFT string constraints in heterotic string compactifications including higher derivative corrections to the effective action and apply the bounds to M-theory compactifications on G2 manifolds.

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Section: Jhep03(2023)197supporting

confidence: 68%

Section: Jhep03(2023)197mentioning

confidence: 99%

Section: Jhep03(2023)197mentioning

confidence: 99%

Section: Jhep03(2023)197mentioning

confidence: 99%

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Quantum gravity bounds on $$ \mathcal{N} $$ = 1 effective theories in four dimensions

Martucci

Risso

Weigand

2023

J. High Energ. Phys.

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Towards a complete classification of 6D supergravities

Hamada,

Loges

2024

J. High Energ. Phys.

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The constraints arising from anomaly cancellation are particular strong for chiral theories in six dimensions. We make progress towards a complete classification of 6D supergravities with minimal supersymmetry and non-abelian gauge group. First, we generalize a previously known infinite class of anomaly-free theories which has 𝑇 ≫ 9 to essentially any semi-simple gauge group and infinitely many choices for hypermultiplets. The construction relies on having many decoupled sectors all selected from a list of four simple theories which we identify. Second, we use ideas from graph theory to rephrase the task of finding anomaly-free theories as constructing cliques in a certain multigraph. A branch-and-bound type algorithm is described which can be used to explicitly construct, in a 𝑇-independent way, anomaly-free theories with an arbitrary number of simple factors in the gauge group. We implement these ideas to generate an ensemble of $$ \mathcal{O} $$ O (107) irreducible cliques from which anomaly-free theories may be easily built, and as a special case obtain a complete list of 19,847 consistent theories for 𝑇 = 0, for which the maximal gauge group rank is 24. Modulo U(1), SU(2) and SU(3) simple factors and the new infinite families, we give a complete characterization of anomaly-free theories and show that the bound 𝑇 ≤ 273 is sharp.

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Emergence of cosmic space and the maximization of horizon entropy

Krishna,

Mathew

2024

Physics of the Dark Universe

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Holographic consistency and the sign of the Gauss-Bonnet parameter

Cited by 5 publications

References 125 publications

Quantum gravity bounds on $$ \mathcal{N} $$ = 1 effective theories in four dimensions

Quantum gravity bounds on $$ \mathcal{N} $$ = 1 effective theories in four dimensions

Towards a complete classification of 6D supergravities

Emergence of cosmic space and the maximization of horizon entropy

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