5d Superconformal Field Theories (SCFTs) are intrinsically strongly-coupled UV fixed points, whose realization hinges on string theoretic methods: they can be constructed by compactifying M-theory local Calabi-Yau threefold singularities or alternatively from the world-volume of 5-brane-webs in type IIB theory. There is a correspondence between and toric threefolds, however this breaks down when multiple 5-branes allowed to end single 7-brane. In paper, we extend connection provide geometric...

We extend the construction of T-duality symmetry for 2d compact boson to arbitrary values radius by including topological manipulations such as gauging continuous symmetries with flat connections. show that entire circle branch c=1 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>c</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> conformal manifold can be generated using these manipulations, resulting in a non-invertible when sends...

We propose a framework for treating F-theory directly, without resolving or deforming its singularities. This allows us to explore new sectors of gauge theories, including exotic bound states such as T-branes, in global context. use the mathematical known Eisenbud's matrix factorizations hypersurface display usefulness this technique by way examples, affine singularities both conifold and orbifold type, well class full-fledged compact elliptically fibered Calabi-Yau fourfolds.

U(1) gauge symmetries in F-theory are expected to manifest themselves as codimension three singularities of Calabi-Yau fourfolds. However, some these known become massive at strong coupling via the St\"uckelberg mechanism. In this note, we propose a geometric picture for detecting all U(1)'s, and determining which ones massless. We find that show up only admit small, non-K\"ahler, resolutions. Our proposal passes several highly non-trivial tests, including case with non-diagonal mass matrix.

Bound states of 7-branes known as 'T-branes' have properties that defy usual geometric intuition. For instance, the gauge group n coincident branes may not be U(n). More surprisingly, matter show up at unexpected loci, such points. By analyzing T-branes perturbative type IIB string theory in tachyon condensation picture we gain following insights: a large class models, can diagonalized even though worldvolume Higgs cannot. In those cases, see structure these bound more manifestly, thereby...

IIB compactifications enjoy the possibility to break GUT groups via fluxes without giving mass hypercharge gauge field. Although this important advantage has greatly motivated F-theory constructions, no such have been constructed directly in terms of M-theory G 4-form. In note, we give a general prescription for constructing G-fluxes. By using stable version Sen's weak coupling limit, verify their connection with fluxes. We illustrate lift number examples, including compact SU(5) × U(1)...

A bstract We study the quantization of M-theory G-flux on elliptically fibered Calabi-Yau fourfolds with singularities giving rise to unitary and symplectic gauge groups. seek find its relation Freed-Witten worldvolume fluxes 7-branes in type IIB orientifold compactifications threefolds. By explicitly constructing appropriate four-cycles which calculate periods second Chern class fourfolds, we that there is a half-integral shift G -flux whenever corresponding dual 7-brane wrapped non-spin...

T-branes are exotic bound states of D-branes, characterized by mutually non-commuting vacuum expectation values for the worldvolume scalars. The M/F-theory geometry lifting D6/D7-brane configurations is blind to T-brane data. In this paper, we make data manifest, probing with an M2-brane. We find that effect a deform membrane superpotential monopole operators, which partially break three-dimensional flavor symmetry, and reduce super-symmetry from $$ \mathcal{N} = 4 2. Our main tool 3d mirror...

A bstract We study the Higgs branches of five-dimensional $$ \mathcal{N} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 rank-zero theories obtained from M-theory on two classes non-toric non-compact Calabi-Yau threefolds: Reid’s pagodas, and Laufer’s examples. Our approach consists in reducing to IIA with D6-branes O6-planes, computing open-string spectra giving rise hypermultiplets. Starting seven-dimensional worldvolume theories, we switch...

We investigate cosmologies with an arbitrary number of scalars and the most general multi-exponential potential. By formulating equations motion in terms autonomous systems, we complete classification power-law de Sitter solutions as critical points, e.g. attractor repeller solutions, scalar couplings. Many these have been overlooked literature. provide specific examples for double triple exponential potentials one two scalars, where find numerical which interpolate between points. Some...

We investigate the accelerating phases of cosmologies supported by a metric, scalars and single exponential scalar potential. The different solutions can be represented trajectories on sphere we find that quintessence happens within "arctic circle" sphere. Furthermore, obtain multi-exponential potentials from 3D group manifold reductions gravity, implying such embedded in gauged supergravities with an M-theory origin. relate double case to flux compactifications maximally symmetric spaces...

M2 branes probing T-brane backgrounds in M-theory with ADE surface singularities perceive deformations on their worldvolume superpotentials by monopole operators. The dynamics and moduli spaces of the resulting theories can be studied using a dual description involving conventional superpotential terms (the dimensional reduction of) class S trinion theories. By S-dual N=2 SU(N) SQCD 2N flavors four dimensions, we are able to study T-branes corresponding all minimal nilpotent orbits for whole series.

A bstract M-theory on a Calabi-Yau threefold admitting small resolution gives rise to an Abelian vector multiplet and charged hypermultiplet. We introduce into this picture procedure construct threefolds that naturally host matter with electric charges up six. These are built as families of Du Val ADE surfaces (or ALE spaces), the possible correspond Dynkin labels adjoint algebra. In case charge two, we give new derivation answer originally obtained by Curto Morrison, explicitly relate...

We construct the most general non-extremal spherically symmetric instanton solution of a gravity-dilaton-axion system with $SL(2,R)$ symmetry, for arbitrary euclidean spacetime dimension $D\geq 3$. A subclass these solutions describe completely regular wormhole geometries, whose size is determined by an invariant combination charges. Our results can be applied to four-dimensional effective actions type II strings compactified on Calabi-Yau manifold, and in particular universal hypermultiplet...