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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeApr 22nd 2018
   • (edited Apr 22nd 2018)
   • PermaLink
   Author: Urs
   Format: MarkdownItexBrief idea of the _[[E-string]]_, pointer to and snippet from one reference that makes it nicely explicit. I am compiling this and related entries because we have a clean mathematical formalization of this zoo of structures now in terms of equivariant super homotopy theory (as surveyed [here](https://ncatlab.org/schreiber/show/Gauge+enhancement+of+Super+M-Branes#StructuredHomotopyFromStringTheory)). Once everything is cleaned up and published, I will try to go through all the entries and accompany the vague Idea-sections with some solid mathematics. <a href="https://ncatlab.org/nlab/revision/E-string/1">v1</a>, <a href="https://ncatlab.org/nlab/show/E-string">current</a>

   Brief idea of the E-string, pointer to and snippet from one reference that makes it nicely explicit.

   I am compiling this and related entries because we have a clean mathematical formalization of this zoo of structures now in terms of equivariant super homotopy theory (as surveyed here). Once everything is cleaned up and published, I will try to go through all the entries and accompany the vague Idea-sections with some solid mathematics.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeOct 11th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded two references and three graphics <a href="https://ncatlab.org/nlab/revision/diff/E-string/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/E-string/5">v5</a>, <a href="https://ncatlab.org/nlab/show/E-string">current</a>

   added two references and three graphics

   diff, v5, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 27th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Jie Gu, Babak Haghighat, [[Albrecht Klemm]], Kaiwen Sun, Xin Wang, _Elliptic Blowup Equations for 6d SCFTs. III: E--strings, M--strings and Chains_ ([arXiv:1911.11724](https://arxiv.org/abs/1911.11724)) <a href="https://ncatlab.org/nlab/revision/diff/E-string/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/E-string/9">v9</a>, <a href="https://ncatlab.org/nlab/show/E-string">current</a>

   added pointer to today’s

   • Jie Gu, Babak Haghighat, Albrecht Klemm, Kaiwen Sun, Xin Wang, Elliptic Blowup Equations for 6d SCFTs. III: E–strings, M–strings and Chains (arXiv:1911.11724)

   diff, v9, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeOct 15th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Kantaro Ohmori]], [[Hiroyuki Shimizu]], [[Yuji Tachikawa]], _Anomaly polynomial of E-string theories_, J. High Energ. Phys. 2014, 2 (2014) ([arXiv:1404.3887](https://arxiv.org/abs/1404.3887)) <a href="https://ncatlab.org/nlab/revision/diff/E-string/11">diff</a>, <a href="https://ncatlab.org/nlab/revision/E-string/11">v11</a>, <a href="https://ncatlab.org/nlab/show/E-string">current</a>

   added pointer to:

   • Kantaro Ohmori, Hiroyuki Shimizu, Yuji Tachikawa, Anomaly polynomial of E-string theories, J. High Energ. Phys. 2014, 2 (2014) (arXiv:1404.3887)

   diff, v11, current

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeOct 18th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * E. Gorbatov, [[Vadim Kaplunovsky]], [[Jacob Sonnenschein]], [[Stefan Theisen]], [[Shimon Yankielowicz]], around (6.13) in _On Heterotic Orbifolds, M Theory and Type I' Brane Engineering_, JHEP 0205:015, 2002 ([arXiv:hep-th/0108135](https://arxiv.org/abs/hep-th/0108135)) together with a copy of their figure (6.13) <a href="https://ncatlab.org/nlab/revision/diff/E-string/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/E-string/12">v12</a>, <a href="https://ncatlab.org/nlab/show/E-string">current</a>

   added pointer to

   • E. Gorbatov, Vadim Kaplunovsky, Jacob Sonnenschein, Stefan Theisen, Shimon Yankielowicz, around (6.13) in On Heterotic Orbifolds, M Theory and Type I’ Brane Engineering, JHEP 0205:015, 2002 (arXiv:hep-th/0108135)

   together with a copy of their figure (6.13)

   diff, v12, current

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeNov 15th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * Wenhe Cai, Min-xin Huang, Kaiwen Sun, _On the Elliptic Genus of Three E-strings and Heterotic Strings_, J. High Energ. Phys. 2015, 79 (2015). ([arXiv:1411.2801](https://arxiv.org/abs/1411.2801), <a href="https://doi.org/10.1007/JHEP01(2015)079">doi:10.1007/JHEP01(2015)079</a>) <a href="https://ncatlab.org/nlab/revision/diff/E-string/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/E-string/15">v15</a>, <a href="https://ncatlab.org/nlab/show/E-string">current</a>

   added pointer to:

   • Wenhe Cai, Min-xin Huang, Kaiwen Sun, On the Elliptic Genus of Three E-strings and Heterotic Strings, J. High Energ. Phys. 2015, 79 (2015). (arXiv:1411.2801, doi:10.1007/JHEP01(2015)079)

   diff, v15, current

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeNov 15th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * J. A. Minahan, D. Nemeschansky, [[Cumrun Vafa]], N. P. Warner, _E-Strings and $N=4$ Topological Yang-Mills Theories_, Nucl. Phys. B527 (1998) 581-623 ([arXiv:hep-th/9802168](https://arxiv.org/abs/hep-th/9802168)) <a href="https://ncatlab.org/nlab/revision/diff/E-string/16">diff</a>, <a href="https://ncatlab.org/nlab/revision/E-string/16">v16</a>, <a href="https://ncatlab.org/nlab/show/E-string">current</a>

   added pointer to:

   • J. A. Minahan, D. Nemeschansky, Cumrun Vafa, N. P. Warner, E-Strings and $N=4$ Topological Yang-Mills Theories, Nucl. Phys. B527 (1998) 581-623 (arXiv:hep-th/9802168)

   diff, v16, current