Domain walls, triples and acceleration

Maxfield, Travis; Sethi, Savdeep

doi:10.1007/jhep08(2014)066

Cited by 9 publications

(11 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Particular goals included the study of AlAdS solutions with inflating bubbles, and also possible bag-of-gold solutions. While we used a bottom-up approach, at least some top-down models of domain walls in AdS/CFT were found in [61].…”

Section: Discussionmentioning

confidence: 99%

“…For later use, we mention that doing so realizes the AdS 4 Maxwell potential as a Kaluza-Klein gauge field associated with reduction of the eleven-dimensional metric along a U (1) fiber. For simplicity, we take our domain walls to be uncharged under this Maxwell field and leave open for future investigation the question of whether they may also be embedded in a top-down model such as those studied in [61].…”

Section: Euclidean Wormholes and Large Bags Of Gold From Multiple Dommentioning

confidence: 99%

See 1 more Smart Citation

Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT

Marolf

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

We use Euclidean path integrals to explore the set of bulk asymptotically AdS spacetimes with good CFT duals. We consider simple bottom-up models of bulk physics defined by Einstein-Hilbert gravity coupled to thin domain walls and restrict to solutions with spherical symmetry. The cosmological constant is allowed to change across the domain wall, modeling more complicated Einstein-scalar systems where the scalar potential has multiple minima. In particular, the cosmological constant can become positive in the interior. However, in the above context, we show that inflating bubbles are never produced by smooth Euclidean saddles to asymptotically AdS path integrals. The obstacle is a direct parallel to the well-known obstruction to creating inflating universes by tunneling from flat space. In contrast, we do find good saddles that create so-called "bag-of-gold" geometries which, in addition to their single asymptotic region, also have an additional large semi-classical region located behind both past and future event horizons. Furthermore, without fine-tuning model parameters, using multiple domain walls we find Euclidean geometries that create arbitrarily large bagsof-gold inside a black hole of fixed horizon size, and thus at fixed Bekenstein-Hawking entropy. Indeed, with our symmetries and in our class of models, such solutions provide the unique semi-classical saddle for appropriately designed (microcanonical) path integrals. This strengthens a classic tension between such spacetimes and the CFT density of states, similar to that in the black hole information problem.Recent years have seen great progress in understanding the anti-de Sitter/conformal

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Euclidean Wormholes and Large Bags Of Gold From Multiple Dommentioning

confidence: 99%

Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT

Marolf

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…For zero condensate, this system has been analyzed to a great degree in the literature before, see e.g. [12,15,[28][29][30][31][32][33]. Here we will see how it can also admit solutions with non trivial condensate.…”

Section: B)mentioning

confidence: 94%

“…We are still taking a ten-dimensional expectation value, MNP . We should also remember that the tendimensional gauginos are in the adjoint of E 8 × E 8 or SO (32). Denoting the external four-dimensional gauge group as G, and the internal group as H (G is the stabilizer of H in the ten-dimensional group), we may decompose the ten-dimensional product representation as 496 ⊗ 496 → i (R(G) i , R(H) i ).…”

Section: Compactifications To Four Dimensionsmentioning

confidence: 99%

On heterotic vacua with fermionic expectation values

Minasian

Petrini

Svanes

2017

Fortschritte der Physik

View full text Add to dashboard Cite

We study heterotic backgrounds with non‐trivial H‐flux and non‐vanishing expectation values of fermionic bilinears, often referred to as gaugino condensates. The gaugini appear in the low energy action via the gauge‐invariant three‐form bilinear normalΣMNP= tr χ¯normalΓMNPχ. For Calabi‐Yau compactifications to four dimensions, the gaugino condensate corresponds to an internal three‐form Σmnp that must be a singlet of the holonomy group. This condition does not hold anymore when an internal H‐flux is turned on and O(α′) effects are included. In this paper we study flux compactifications to three and four‐dimensions on G‐structure manifolds. We derive the generic conditions for supersymmetric solutions. We use integrability conditions and Lichnerowicz type arguments to derive a set of constraints whose solution, together with supersymmetry, is sufficient for finding backgrounds with gaugino condensate.

show abstract

“…After early work by van Baal (numerical approximations and remarks in [3] and a computation in the case of charge 1 in [4]), the singular monopole obtained by the Nahm transform in the case of structure group SU (2) was studied further by the first author in his PhD thesis [14,15]. Physical motivation for getting a deeper understanding of the Nahm transform in this case can be found in the recent paper [48] of Maxfield and Sethi.…”

Section: Introductionmentioning

confidence: 99%

Spatially Periodic Instantons: Nahm Transform and Moduli

Charbonneau

Hurtubise

2018

Commun. Math. Phys.

View full text Add to dashboard Cite

This paper establishes that the Nahm transform sending spatially periodic instantons (instantons on the product of the real line and a three-torus) to singular monopoles on the dual three-torus is indeed a bijection as suggested by the heuristic. In the process, we show how the Nahm transform intertwines to a Fourier-Mukai transform via Kobayashi-Hitchin correspondences. We also prove existence and nonexistence results.0 The authors can be reached respectively at [• E is a semi-stable holomorphic rank n vector bundle of degree 0 overThe vertical correspondences are the Kobayashi-Hitchin correspondences, which associate to anti-self dual connections some holomorphic data that classify them,• The horizontal correspondences are Fourier-type transforms, the top one using the Dirac equation, and the bottom holomorphic data.The sections, in what follows, in essence explore the various pieces of the diagram (1) in turn. Section 2 begins with the left hand side with its vertical arrow, recalling the results of [17]. Section 3 considers the right hand side, examining the Kobayashi-Hitchin correspondence for this case. Section 4 treats the bottom row, and discusses the Fourier-Mukai transforms. Section 5 considers the top row, recalls results of Charbonneau [15] on the Nahm transform in this case, shows that the diagram commutes, and sums up the equivalences. Section 6 derives a few consequences on moduli, and discusses a few remaining questions.

show abstract

Domain walls, triples and acceleration

Cited by 9 publications

References 68 publications

Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT

Bag-of-gold spacetimes, Euclidean wormholes, and inflation from domain walls in AdS/CFT

On heterotic vacua with fermionic expectation values

Spatially Periodic Instantons: Nahm Transform and Moduli

Contact Info

Product

Resources

About