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A global view on the search for de Sitter vacua in (Type IIA) string theory

AbstractThe search for classically stable Type IIA de Sitter vacua typically starts with an ansatz that gives Anti-de Sitter supersymmetric vacua and then raises the cosmological constant by modifying...

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Numerical algebraic geometry: a new perspective on gauge and string theories

AbstractThere is a rich interplay between algebraic geometry and string and gauge theories which has been recently aided immensely by advances in computational algebra. However, symbolic (Gröbner)...

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Persistent anti-brane singularities

AbstractAnti-D-branes inserted in warped throat geometries (supported by fluxes that carry D-brane charges) develop unphysical singularities. It has been argued that these singularities could be...

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Fractional branes, warped compactifications and backreacted orientifold planes

AbstractThe standard extremal p-brane solutions in supergravity are known to allow for a generalisation which consists of adding a linear dependence on the worldvolume coordinates to the usual harmonic...

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Building an explicit de Sitter

AbstractWe construct an explicit example of a de Sitter vacuum in type IIB string theory that realizes the proposal of Kähler uplifting. As the large volume limit in this method depends on the rank of...

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On the distribution of stable de Sitter vacua

AbstractThe possible existence of (meta-) stable de Sitter vacua in string theory is of fundamental importance. So far, there are no fully stable solutions where all effects are under perturbative...

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A note on obstinate tachyons in classical dS solutions

AbstractThe stabilisation of the dilaton and volume in tree-level flux compactifications leads to model independent and thus very powerful existence and stability criteria for dS solutions. In this...

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Mathieu moonshine and \( \mathcal{N}=2 \) string compactifications

AbstractThere is a ‘Mathieu moonshine’ relating the elliptic genus of K3 to the sporadic group M24. Here, we give evidence that this moonshine extends to part of the web of dualities connecting...

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Polchinski-Strassler does not uplift Klebanov-Strassler

AbstractAnti-D3-branes at the tip of the Klebanov-Strassler solution with D3-charge dissolved in fluxes give rise, in the probe approximation, to a metastable state. The fully back-reacted smeared...

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New \( \mathcal{N}=1 \) dualities from orientifold transitions Part II:...

AbstractWe present a string theoretical description, given in terms of branes and orientifolds wrapping vanishing cycles, of the dual pairs of gauge theories analyzed in [1]. Based on the resulting...

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New \( \mathcal{N} \) = 1 dualities from orientifold transitions Part I:...

AbstractWe report on a broad new class of \( \mathcal{N} \) = 1 gauge theory dualities which relatethe worldvolume gauge theories of D3 branes probing different orientifolds of the sameCalabi-Yau...

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Twining genera of (0,4) supersymmetric sigma models on K3

AbstractConformal field theories with (0,4) worldsheet supersymmetry and K3 target can be used to compactify the E8× E8 heterotic string to six dimensions in a supersymmetric manner. The data...

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On Gaussian random supergravity

AbstractWe study the distribution of metastable vacua and the likelihood of slow roll inflation in high dimensional random landscapes. We consider two examples of landscapes: a Gaussian random...

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Mathieu moonshine in four dimensional \( \mathcal{N} \) = 1 theories

AbstractWe show that the recently discovered Mathieu moonshine plays a role for certain four dimensional theories with \( \mathcal{N} \) = 1 supersymmetry. These theories are obtained from the E8× E8...

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BPS domain walls from backreacted orientifolds

AbstractCompactifications with D-brane and orientifold sources lead to standard gauged supergravity theories if the sources are smeared over the internal directions. It is therefore of interest to find...

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On holographic defect entropy

AbstractWe study a number of (3 + 1)- and (2 + 1)-dimensional defect and boundary conformal field theories holographically dual to supergravity theories. In all cases the defects or boundaries are...

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Large field inflation and double α-attractors

AbstractWe consider a broad class of inflationary models that arise naturally in super-gravity. They are defined in terms of a parameter α that determines the curvature and cutoff of these models. As a...

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The powers of monodromy

AbstractFlux couplings to string theory axions yield super-Planckian field ranges along which the axion potential energy grows. At the same time, other aspects of the physics remain essentially...

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Analytic classes of metastable de Sitter vacua

AbstractIn this paper, we give a systematic procedure for building locally stable dS vacua in \( \mathcal{N}=1 \) supergravity models motivated by string theory. We assume that one of the superfields...

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Heavy tails in Calabi-Yau moduli spaces

AbstractWe study the statistics of the metric on Kähler moduli space in compactifications of string theory on Calabi-Yau hypersurfaces in toric varieties. We find striking hierarchies in the...

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