Faculty Works, Department of Physics
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Geometric constraints in dual Ftheory and heterotic string compactifications
(Springer, 20140805)We systematically analyze a broad class of dual heterotic and Ftheory models that give fourdimensional supergravity theories, and compare the geometric constraints on the two sides of the duality. Specifically, we give ... 
Tbranes and geometry
(Springer, 20140519)Tbranes are a nonabelian generalization of intersecting branes in which the matrix of normal deformations is nilpotent along some subspace. In this paper we study the geometric remnant of this open string data for ... 
Notes on nonabelian (0,2) theories and dualities
(Springer, 20140805)In this paper we explore basic aspects of nonabelian (0,2) GLSMs in two dimensions for unitary gauge groups, an arena that until recently has largely been unexplored. We begin by discussing general aspects of (0,2) theories, ... 
Algebroids, heterotic moduli spaces and the Strominger system
(Springer, 20140708)In this paper we study compactifications of heterotic string theory on manifolds satisfying the partial derivative(partial derivative) over bar lemma. We consider the Strominger system description of the low energy ... 
Topological invariants and fibration structure of complete intersection CalabiYau fourfolds
(Springer, 20140917)We investigate the mathematical properties of the class of CalabiYau fourfolds recently found in ref. [1]. This class consists of 921,497 configuration matrices which correspond to manifolds that are described as complete ... 
Physics of Ftheory compactifications without section
(Springer, 20141224)We study the physics of Ftheory compactifications on genusone fibrations without section by using an Mtheory dual description. The fivedimensional action obtained by considering Mtheory on a CalabiYau threefold is ... 
Metastring theory and modular spacetime
(Springer, 20150603)String theory is canonically accompanied with a spacetime interpretation which determines Smatrixlike observables, and connects to the standard physics at low energies in the guise of local effective field theory. ... 
Dimensional oxidation and modular completion of nongeometric type IIB action
(Springer, 20150505)Utilizing a setup of type IIB superstring theory compactified on an orientifold of T6/(Z(2) x Z(2)), we propose a modular invariant dimensional oxidation of the fourdimensional scalar potential. In the oxidized tendimensional ... 
Wilson lines and ChernSimons flux in explicit heterotic CalabiYau compactifications
(Springer, 20150227)We study to what extent Wilson lines in heterotic CalabiYau compactifications lead to nontrivial Hflux via ChernSimons terms. Wilson lines are basic ingredients for Standard Model constructions but their induced Hflux ... 
A CalabiYau database: threefolds constructed from the KreuzerSkarke list
(Springer, 20150225)Kreuzer and Skarke famously produced the largest known database of CalabiYau threefolds by providing a complete construction of all 473,800,776 reflexive polyhedra that exist in four dimensions [1]. These polyhedra describe ... 
Chiral operators in twodimensional (0,2) theories and a test of triality
(Springer, 20150630)In this paper we compute spaces of chiral operators in general twodimensional (0,2) nonlinear sigma models, both in theories twistable to the A/2 or B/2 model, as well as in nontwistable theories, and apply them to check ... 
Localization of twisted N=(0,2) gauged linear sigma models in two dimensions
(Springer, 20160314)We study twodimensional N=(0, 2) supersymmetric gauged linear sigma models (GLSMs) using supersymmetric localization. We consider N=(0, 2) theories with an Rsymmetry, which can always be defined on curved space by a ... 
Mutation, Witten index, and quiver invariant
(Springer, 20150720)We explore Seiberglike dualities, or mutations, for quiver quantum mechanics in the context of wallcrossing. In contrast to higher dimensions, the 1d Seibergduality must be performed with much care. With fixed ... 
Matter in transition
(Springer, 20160413)We explore a novel type of transition in certain 6D and 4D quantum field theories, in which the matter content of the theory changes while the gauge group and other parts of the spectrum remain invariant. Such transitions ... 
Witten index for noncompact dynamics
(Springer, 20160616)Among gauged dynamics motivated by string theory, we find many with gapless asymptotic directions. Although the natural boundary condition for ground states is L2, one often turns on chemical potentials or supersymmetric ... 
Todalike (0,2) mirrors to products of projective spaces
(Springer, 20160816)One of the open problems in understanding (0,2) mirror symmetry concerns the construction of Todalike LandauGinzburg mirrors to (0,2) theories on Fano spaces. In this paper, we begin to fill this gap by making an ansatz ... 
Tools for CICYs in Ftheory
(Springer, 20161102)We provide a set of tools for analyzing the geometry of elliptically fibered CalabiYau manifolds, starting with a description of the total space rather than with a Weierstrass model or a specified type of fi ber/base. ... 
Multiple fibrations in CalabiYau geometry and string dualities
(Springer, 20161019)In this work we explore the physics associated to CalabiYau (CY) nfolds that can be described as a fibration in more than one way. Beginning with Ftheory vacua in various dimensions, we consider limits/dualities with ... 
Dparticles on orientifolds and rational invariants
(Springer, 20170711)We revisit the DO bound state problems, of the M/IIA duality, with the Orientifolds. The cases of 04 and 08 have been studied recently, from the perspective of fivedimensional theories, while the case of O0 has been much ... 
MordellWeil torsion in the mirror of multisections
(Springer, 20161212)We give further evidence that genusone fibers with multisections are mirror dual to fibers with MordellWeil torsion. In the physics of Ftheory compactifications this implies a relation between models with a nonsimply ...