Conifold
View article
Microstate counting via Bethe Ansätze in the 4d $$ \mathcal{N} $$ = 1 superconformal index Open
A bstract We study the superconfomal index of four-dimensional toric quiver gauge theories using a Bethe Ansatz approach recently applied by Benini and Milan. Relying on a particular set of solutions to the corresponding Bethe Ansatz equat…
View article
Global string embeddings for the nilpotent Goldstino Open
We discuss techniques for embedding a nilpotent Goldstino sector both in\nweakly coupled type IIB compactifications and F-theory models at arbitrary\ncoupling, providing examples of both scenarios in semi-realistic\ncompactifications. We s…
View article
K-Theoretic DT/PT Correspondence for Toric Calabi–Yau 4-Folds Open
Recently, Nekrasov discovered a new “genus” for Hilbert schemes of points on $${\mathbb {C}}^4$$ . We extend its definition to Hilbert schemes of curves and moduli spaces of stable pairs, and conjecture a K -theoretic DT/PT correspondence …
View article
Peacock patterns and new integer invariants in topological string theory Open
Topological string theory near the conifold point of a Calabi--Yau threefold gives rise to factorially divergent power series which encode the all-genus enumerative information. These series lead to infinite towers of singularities in thei…
View article
LVS de Sitter vacua are probably in the swampland Open
We argue that dS vacua in the LARGE-volume scenario of type IIB string theory are vulnerable to various unsuppressed curvature, warping and gs corrections. We work out in general how these corrections affect the moduli vevs, the vacuum ene…
View article
Mirror quintic vacua: hierarchies and inflation Open
We study the moduli space of type IIB string theory flux compactifications on the mirror of the CY quintic 3-fold in $$ {\mathrm{\mathbb{P}}}^4 $$ . We focus on the dynamics of the four dimensional moduli space, defined by the axio-dilaton…
View article
Klebanov-Strassler black hole Open
A bstract We construct a black hole solution on warped deformed conifold in type IIB supergravity with fluxes. The black hole has translationary invariant horizon and is a holographic dual to a thermal homogeneous and isotropic state of a …
View article
Fermions on the antibrane: Higher order interactions and spontaneously broken supersymmetry Open
It has been recently argued that inserting a probe anti-D3-brane in a flux background breaks supersymmetry spontaneously instead of explicitly, as previously thought. In this paper we argue that such spontaneous breaking of supersymmetry p…
View article
Mathematical Structures of Non-perturbative Topological String Theory: From GW to DT Invariants Open
We study the Borel summation of the Gromov–Witten potential for the resolved conifold. The Stokes phenomena associated to this Borel summation are shown to encode the Donaldson–Thomas (DT) invariants of the resolved conifold, having a dire…
View article
Non-Abelian vortex in four dimensions as a critical string on a conifold Open
Non-Abelian vortex strings supported in a certain four-dimensional N=2\nYang-Mills theory with fundamental matter were shown arXiv:1502.00683 to become\ncritical superstrings. In addition to translational moduli non-Abelian string\nunder c…
View article
Effective Theory of Warped Compactifications and the Implications for KKLT Open
We argue that effective actions for warped compactifications can be subtle, with large deviations in the effective potential from naive expectations owing to constraint equations from the higher‐dimensional metric. We demonstrate this devi…
View article
The Local Gromov-Witten Theory of $${\\mathbb{C}\\mathbb{P}^1}$$ and Integrable Hierarchies Open
In this paper we begin the study of the relationship between the local Gromov-Witten theory of Calabi-Yau rank two bundles over the projective line and the theory of integrable hierarchies. We first of all construct explicitly, in a large …
View article
Open orbifold Gromov-Witten invariants of $${[\\mathbb{C}^3/\\mathbb{Z}_n]}$$: localization and mirror symmetry Open
We develop a mathematical framework for the computation of open orbifold Gromov-Witten invariants of $${[\\mathbb{C}^3/\\mathbb{Z}_n]}$$ and provide extensive checks with predictions from open string mirror symmetry. To this aim, we set up…
View article
A new de Sitter solution with a weakly warped deformed conifold Open
A bstract We revisit moduli stabilisation for type IIB flux compactifications that include a warped throat region corresponding to a warped deformed conifold, with an anti-D3-brane sitting at its tip. The warping induces a coupling between…
View article
Revealing systematics in phenomenologically viable flux vacua with reinforcement learning Open
The organising principles underlying the structure of phenomenologically viable string vacua can be accessed by sampling such vacua. In many cases this is prohibited by the computational cost of standard sampling methods in the high dimens…
View article
Critical non-Abelian vortex in four dimensions and little string theory Open
As was shown recently, non-Abelian vortex strings supported in\nfour-dimensional ${\\cal N}=2$ supersymmetric QCD with the U(2) gauge group and\n$N_f=4$ quark multiplets (flavors) become critical superstrings. In addition to\nthe translati…
View article
Exponential Networks, WKB and Topological String Open
We propose a connection between 3d-5d exponential networks and exact WKB for difference equations associated to five dimensional Seiberg-Witten curves, or equivalently, to quantum mirror curves to toric Calabi-Yau threefolds $X$: the singu…
View article
Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds Open
There is a set of remarkable physical predictions for the structure of BCOV's higher genus B-model of mirror quintic 3-folds which can be viewed as conjectures for the Gromov-Witten theory of quintic 3-folds. They are (i) Yamaguchi--Yau's …
View article
Mordell-Weil Torsion, Anomalies, and Phase Transitions Open
We explore how introducing a non-trivial Mordell-Weil group changes the structure of the Coulomb phases of a five-dimensional gauge theory from an M-theory compactified on an elliptically fibered Calabi-Yau threefolds with a I$_2$+I$_4$ co…
View article
M-Theory and F-Theory over Theoretical Analysis on Cosmic Strings and Calabi-Yau Manifolds Subject to Conifold Singularity with Randall-Sundrum Model Open
String theory always comes with heavy mathematical rigor as it questions the most significant and impossible attempt to make a scale-invariant phenomenology between general relativity and quantum theory. Thus, steps have been taken to simp…
View article
Skeins on Branes Open
We give a geometric interpretation of the coefficients of the HOMFLYPT polynomial of any link in the three-sphere as counts of holomorphic curves. The curves counted live in the resolved conifold where they have boundary on a shifted copy …
View article
Highly Symmetric Quintic Quotients Open
The quintic family must be the most studied family of Calabi‐Yau threefolds. Particularly symmetric members of this family are known to admit quotients by freely acting symmetries isomorphic to . The corresponding quotient manifolds may th…
View article
Integrality structures in topological strings I: framed unknot Open
We study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane). In this paper, we focus on the case of the resolved conifold with one out AV-brane in any integer framing $…
View article
Nontorus link from topological vertex Open
The recently suggested tangle calculus for knot polynomials is intimately\nrelated to topological string considerations and can help to build the\nHOMFLY-PT invariants from the topological vertices. We discuss this interplay\nin the simple…
View article
de Sitter minima from M-theory and string theory Open
We study M-theory compactification on ${\\mathbb{T}^7/ \\mathbb{Z}_2^3}$ in the\npresence of a seven-flux, metric fluxes and KK monopoles. The effective\nfour-dimensional supergravity has seven chiral multiplets whose couplings are\nspecif…
View article
Entanglement entropy and edge modes in topological string theory. Part II. The dual gauge theory story Open
A bstract This is the second in a two-part paper devoted to studying entanglement entropy and edge modes in the A model topological string theory. This theory enjoys a gauge-string (Gopakumar-Vafa) duality which is a topological analogue o…
View article
T1,1 truncation on the spindle Open
A bstract We study the compactification of the 𝒩 = 2 AdS 5 consistent truncation of the conifold, in presence of a Betti vector multiplet, on the spindle. We derive the BPS equations and solve them at the poles, computing the central charg…
View article
Quantum Cohomology under Birational Maps and Transitions Open
This is an expanded version of the third author's lecture in String-Math 2015 at Sanya. It summarizes some of our works in quantum cohomology. After reviewing the quantum Lefschetz and quantum Leray--Hirsch, we discuss their applications t…
View article
Riemann-Hilbert problems for the resolved conifold Open
We study the Riemann-Hilbert problems associated to the Donaldson-Thomas theory of the resolved conifold. We give explicit solutions in terms of the Barnes double and triple sine functions. We show that the corresponding tau function is a …
View article
Microstate Counting via Bethe Ans\"{a}tze in the 4d ${\cal N}=1$ Superconformal Index Open
We study the superconfomal index of four-dimensional toric quiver gauge theories using a Bethe Ansatz approach recently applied by Benini and Milan. Relying on a particular set of solutions to the corresponding Bethe Ansatz equations we ev…