Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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 definitions 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 k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum 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
   • CommentTimeMay 5th 2013
   • (edited May 5th 2013)
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded to [[supergeometry]] a link to the recent talk * Mikhail Kapranov, _Categorification of supersymmetry and stable homotopy groups of spheres_ ([video](http://208.52.189.22/zelevinsky/day2/2-kapranov.mov))

   added to supergeometry a link to the recent talk

   • Mikhail Kapranov, Categorification of supersymmetry and stable homotopy groups of spheres (video)
2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 23rd 2018
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to * [[Eric D'Hoker]], [[Duong Phong]], _Complex geometry and supergeometry_, Current Developments in Mathematics 2005 (2007): 1-40 ([euclid:1223654523](https://projecteuclid.org/euclid.cdm/1223654523)) <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/30">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/30">v30</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

   added pointer to

   • Eric D’Hoker, Duong Phong, Complex geometry and supergeometry, Current Developments in Mathematics 2005 (2007): 1-40 (euclid:1223654523)

   diff, v30, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJan 5th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded publication data for * Anatoly Konechny, [[Albert Schwarz]], _On $(k \oplus l|q)$-dimensional supermanifolds_ in [[Julius Wess]], V. Akulov (eds.) _Supersymmetry and Quantum Field Theory_ (D. Volkov memorial volume), Lecture Notes in Physics 509, Springer 1998 ([arXiv:hep-th/9706003](http://arxiv.org/abs/hep-th/9706003), [doi:10.1007/BFb0105222](https://www.springer.com/de/book/9783662142004)) <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/31">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/31">v31</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

   added publication data for

   • Anatoly Konechny, Albert Schwarz, On $(k \oplus l|q)$-dimensional supermanifolds in Julius Wess, V. Akulov (eds.) Supersymmetry and Quantum Field Theory (D. Volkov memorial volume), Lecture Notes in Physics 509, Springer 1998 (arXiv:hep-th/9706003, doi:10.1007/BFb0105222)

   diff, v31, current

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeSep 3rd 2019
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexI added the point about * {#SchwarzShapiro} [[Albert Schwarz]], I. Shapiro, _Supergeometry and Arithmetic Geometry_ ([arXiv:hep-th/0605119](http://arxiv.org/abs/hep-th/0605119)) that it generalizes to any commutative ring, in particular, $p$-adic ones. Hmm what would happen to the brane bouquet if it began from a $p$-adic superpoint? <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/33">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/33">v33</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

   I added the point about

   • {#SchwarzShapiro} Albert Schwarz, I. Shapiro, Supergeometry and Arithmetic Geometry (arXiv:hep-th/0605119)

   that it generalizes to any commutative ring, in particular, $p$-adic ones.

   Hmm what would happen to the brane bouquet if it began from a $p$-adic superpoint?

   diff, v33, current

5. • CommentRowNumber5.
   • CommentAuthorDavid_Corfield
   • CommentTimeApr 22nd 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexSomeone on MO is interested in the treatment of superschemes by the supergeometric modalities. See [this question](https://mathoverflow.net/q/390095/447).

   Someone on MO is interested in the treatment of superschemes by the supergeometric modalities. See this question.

6. • CommentRowNumber6.
   • CommentAuthorUrs
   • CommentTimeApr 22nd 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexNice. It was one morning on a night train Berlin-Prague, a bed in a lonely compartment, the river running on the left, the canyon walls on the right, that this top third of the progression of modalities sprang to mind. Looking back, already a tale of a lost time. They killed all night trains shortly after, interested all in [geopolitical rant deleted] and certainly not in the progression of the Spirit.

   Nice.

   It was one morning on a night train Berlin-Prague, a bed in a lonely compartment, the river running on the left, the canyon walls on the right, that this top third of the progression of modalities sprang to mind.

   Looking back, already a tale of a lost time. They killed all night trains shortly after, interested all in [geopolitical rant deleted] and certainly not in the progression of the Spirit.

7. • CommentRowNumber7.
   • CommentAuthorUrs
   • CommentTimeMar 8th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Pierre Deligne]], [[John Morgan]], Notes on Supersymmetry (following [[Joseph Bernstein]])_, in: *[[Quantum Fields and Strings]], A course for mathematicians*, **1**, Amer. Math. Soc. Providence (1999) 41-97 &lbrack;[ISBN:978-0-8218-2014-8](https://bookstore.ams.org/qft-1-2-s), [web version](http://www.math.ias.edu/qft), [[DeligneMorgan-NotesOnSusy.pdf:file]]&rbrack; * [[Ivan Mircović]], *Notes on Super Math*, in *[Quantum Field Theory Seminar](https://people.math.umass.edu/~mirkovic/0.SEMINARS/1.QFT/Fall.04.html)*, lecture notes (2004) &lbrack;[pdf](https://people.math.umass.edu/~mirkovic/0.SEMINARS/1.QFT/1.SuperMath/8.pdf), [[Mirkovic-NotesOnSupermathematics.pdf:file]]&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/42">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/42">v42</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

   added pointer to:

   • Pierre Deligne, John Morgan, Notes on Supersymmetry (following Joseph Bernstein)_, in: Quantum Fields and Strings, A course for mathematicians, 1, Amer. Math. Soc. Providence (1999) 41-97 [ISBN:978-0-8218-2014-8, web version, DeligneMorgan-NotesOnSusy.pdf:file]

   • Ivan Mircović, Notes on Super Math, in Quantum Field Theory Seminar, lecture notes (2004) [pdf, Mirkovic-NotesOnSupermathematics.pdf:file]

   diff, v42, current

8. • CommentRowNumber8.
   • CommentAuthorUrs
   • CommentTimeMar 10th 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to: * [[Thomas Schmitt]], *Supergeometry and Quantum Field Theory, or: What is a Classical Configuration?*, Rev. Math. Phys.**9** (1997) 993-1052 &lbrack;[arXiv:hep-th/9607132](https://arxiv.org/abs/hep-th/9607132), [doi;10.1142/S0129055X97000348](https://doi.org/10.1142/S0129055X97000348)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/45">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/45">v45</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

   added pointer to:

   • Thomas Schmitt, Supergeometry and Quantum Field Theory, or: What is a Classical Configuration?, Rev. Math. Phys.9 (1997) 993-1052 [arXiv:hep-th/9607132, doi;10.1142/S0129055X97000348]

   diff, v45, current

9. • CommentRowNumber9.
   • CommentAuthorUrs
   • CommentTimeApr 23rd 2024
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer to today's * Viola Gattus, Apostolos Pilaftsis, *Supergeometric Approach to Quantum Field Theory* &lbrack;[arXiv:2404.13107](https://arxiv.org/abs/2404.13107)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/47">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/47">v47</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

   added pointer to today’s

   • Viola Gattus, Apostolos Pilaftsis, Supergeometric Approach to Quantum Field Theory [arXiv:2404.13107]

   diff, v47, current

10. • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeAug 15th 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded a couple more references on supergeometry of fermion fields. Will make this list of references now an `!include`-entry *[[supergeometry of fermion fields -- references]]* for ease of synchronizing it to other entries (such as at *[[fermion]]*) <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/49">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/49">v49</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

    added a couple more references on supergeometry of fermion fields. Will make this list of references now an !include-entry supergeometry of fermion fields – references for ease of synchronizing it to other entries (such as at fermion)

    diff, v49, current

11. • CommentRowNumber11.
    • CommentAuthorUrs
    • CommentTimeAug 27th 2024
    • (edited Aug 27th 2024)
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded this pointer: * [[Pierre Deligne]]: *Supermoduli -- Methods from Algebraic Geometry*, lecture series at *[Supermoduli Workshop](https://scgp.stonybrook.edu/archives/10356)*, Simons Center @ Stony Brook (2015) &lbrack;scgp video: [I](https://scgp.stonybrook.edu/video_portal/video.php?id=954), [II](https://scgp.stonybrook.edu/video_portal/video.php?id=957), [III](https://scgp.stonybrook.edu/video_portal/video.php?id=1048), [IV](https://scgp.stonybrook.edu/video_portal/video.php?id=1053), [V](https://scgp.stonybrook.edu/video_portal/video.php?id=1058); YouTube:[I](https://youtu.be/fOWrR4FAaa4)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/52">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/52">v52</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

    added this pointer:

    • Pierre Deligne: Supermoduli – Methods from Algebraic Geometry, lecture series at Supermoduli Workshop, Simons Center @ Stony Brook (2015) [scgp video: I, II, III, IV, V; YouTube:I]

    diff, v52, current

12. • CommentRowNumber12.
    • CommentAuthorUrs
    • CommentTimeAug 30th 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to: * [[Felix A. Berezin]] (edited by [[Alexandre A. Kirillov]]): *Introduction to Superanalysis*, Mathematical Physics and Applied Mathematics **9**, Springer (1987) &lbrack;[doi;10.1007/978-94-017-1963-6_8](https://doi.org/10.1007/978-94-017-1963-6_8)&rbrack; Am adding also pointer to chapters of this book to various relevant entries. <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/53">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/53">v53</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

    added pointer to:

    • Felix A. Berezin (edited by Alexandre A. Kirillov): Introduction to Superanalysis, Mathematical Physics and Applied Mathematics 9, Springer (1987) [doi;10.1007/978-94-017-1963-6_8]

    Am adding also pointer to chapters of this book to various relevant entries.

    diff, v53, current

13. • CommentRowNumber13.
    • CommentAuthorUrs
    • CommentTimeNov 12th 2024
    • PermaLink
    Author: Urs
    Format: MarkdownItexadded pointer to today's * Johannes Moerland: *Spinorial Superspaces and Super Yang-Mills Theories* &lbrack;[arXiv:2411.06165](https://arxiv.org/abs/2411.06165)&rbrack; <a href="https://ncatlab.org/nlab/revision/diff/supergeometry/56">diff</a>, <a href="https://ncatlab.org/nlab/revision/supergeometry/56">v56</a>, <a href="https://ncatlab.org/nlab/show/supergeometry">current</a>

    added pointer to today’s

    • Johannes Moerland: Spinorial Superspaces and Super Yang-Mills Theories [arXiv:2411.06165]

    diff, v56, current