Heterotic Flux Geometry from Chiral Gauge Dynamics

Callum Quigley

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Heterotic Flux Geometry from Chiral Gauge Dynamics

Callum Quigley

High Energy Physics - Theory · Submitted 15 Jul 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Along the way, a remarkable relationship between (0,2) gauge anomalies and H-flux will emerge.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.08 · human participants 0.01 · controlled comparison 0.09 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.67 · mentions code or data availability 0.02.

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Chiral gauge theories in two dimensions with (0,2) supersymmetry admit a much broader, and more interesting, class of vacuum solutions than their better studied (2,2) counterparts. In this thesis, we will explore some of the possibilities that are offered by this additional freedom by including field-dependent theta-angles and FI parameters. The moduli spaces that will result from this procedure correspond to heterotic string backgrounds with non-trivial H-flux and NS-brane sources. Along the way, a remarkable relationship between (0,2) gauge anomalies and H-flux will emerge.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Chiral gauge theories in two dimensions with (0,2) supersymmetry admit a much broader, and more interesting, class of vacuum solutions than their better studied (2,2) counterparts.	background 0.99	0.11	0.11	asserted 1.00
s1	In this thesis, we will explore some of the possibilities that are offered by this additional freedom by including field-dependent theta-angles and FI parameters.	contribution 0.83	0.53	0.05	asserted 0.59
s2	The moduli spaces that will result from this procedure correspond to heterotic string backgrounds with non-trivial H-flux and NS-brane sources.	result 0.75	0.66	0.38	asserted 0.95
s3	Along the way, a remarkable relationship between (0,2) gauge anomalies and H-flux will emerge.	result 0.97	0.78	0.34	asserted 0.80

What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.90.

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Original abstract

Chiral gauge theories in two dimensions with (0,2) supersymmetry admit a much broader, and more interesting, class of vacuum solutions than their better studied (2,2) counterparts. In this thesis, we will explore some of the possibilities that are offered by this additional freedom by including field-dependent theta-angles and FI parameters. The moduli spaces that will result from this procedure correspond to heterotic string backgrounds with non-trivial H-flux and NS-brane sources. Along the way, a remarkable relationship between (0,2) gauge anomalies and H-flux will emerge.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

What it cites · 76 sentences without a confident label

Uses the method or tool of 5 papers

When $q=p+1$, the integrals diverge and a UV regulator is required.[Of course, $_p,q$ diverges for $q<p+1$ as well, but those cases will not concern us.] Following [ref] , we use dimensional reduction: carrying out all $D_+$-algebra in $d=2$, but continuing loop momenta to $d=2-2$ in order to evaluate divergent integrals.

(Non) Gauge Invariance of Wilsonian Effective Actions in (Supersymmetric) Gauge Theories : A Critical Discussion · Loop integrals with IR cutoffs · 1.00
Can threshold corrections be computed in these models, perhaps along the lines of [ref] ?

Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms · Outlook · 0.89
Can threshold corrections be computed in these models, perhaps along the lines of [ref] ?

Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT · Outlook · 0.89

Uses data or values from 1 paper

For example, one method[This method constructs CYs as hypersurfaces of quasi-homogeneous polynomials in four-dimensional complex weighted projective space.] of constructing CY manifolds is known to generate up to 473,800,776 distinct spaces [ref] ![This number is only an upper bound on the number obtained by this construction, since some of these solutions may actually be isomorphic.

Complete classification of reflexive polyhedra in four dimensions · Heterotic compactifications · 0.94

Compares with 4 papers

This is very much like the phase structure of [ref] , but with some of the FI parameters promoted to dynamical fields.

Phases of $N=2$ Theories In Two Dimensions · Quantum corrections · 0.94
We expect these spaces to be topologically distinct from Calabi-Yau spaces as was the case for the metrics found in [ref] .

M Theory, Orientifolds and G-Flux · Log superpotentials? · 0.80
Are these consistent with the results of [ref] computed at large radius?

On marginal deformations of (0,2) non-linear sigma models · Outlook · 0.86

Cites as background 16 papers

The heterotic conditions for a spacetime supersymmetric solution were derived from supergravity in [ref] , and considered from a pure spinor perspective in [ref] .

Flux backgrounds from Twists · $(0,2)$ superconformal models and heterotic strings · 0.80
An advantage of this construction is that the CFTs that emerge from $(0,2)$ GLSMs are not destabilized by worldsheet instanton effects [ref] , while no such guarantee exists for the generic non-linear model.

Criteria for Conformal Invariance of (0,2) Models · Gauged linear sigma models · 0.84
An advantage of this construction is that the CFTs that emerge from $(0,2)$ GLSMs are not destabilized by worldsheet instanton effects [ref] , while no such guarantee exists for the generic non-linear model.

World-sheet Stability of (0,2) Linear Sigma Models · Gauged linear sigma models · 0.84

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