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Hisham Sati

Associate Professor of Mathematics

    19992019
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    Research Output 1999 2019

    • 58 Article
    • 4 Review article
    • 1 Conference contribution
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    Article
    2019

    Gauge Enhancement of Super M-Branes Via Parametrized Stable Homotopy Theory

    Braunack-Mayer, V., Sati, H. & Schreiber, U., Jan 1 2019, In : Communications in Mathematical Physics.

    Research output: Contribution to journalArticle

    homotopy theory
    Stable Homotopy
    M-Theory
    Homotopy Theory
    Branes

    Higher-twisted periodic smooth deligne cohomology

    Grady, D. & Sati, H., Jan 1 2019, In : Homology, Homotopy and Applications. 21, 1, p. 129-159 31 p.

    Research output: Contribution to journalArticle

    Twist
    Cohomology
    Odd
    Gerbe
    De Rham Cohomology

    Real ADE-Equivariant (co)Homotopy and Super M-Branes

    Huerta, J., Sati, H. & Schreiber, U., Jan 1 2019, In : Communications in Mathematical Physics.

    Research output: Contribution to journalArticle

    strata
    Branes
    Equivariant
    Homotopy
    homotopy theory

    String structures associated to indefinite Lie groups

    Sati, H. & Shim, H. B., Jun 1 2019, In : Journal of Geometry and Physics. 140, p. 246-264 19 p.

    Research output: Contribution to journalArticle

    Orthogonal Group
    Higher geometry
    Signature
    strings
    Strings

    Topological actions via gauge variations of higher structures

    Sati, H. & Wheeler, M., Feb 10 2019, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 789, p. 114-118 5 p.

    Research output: Contribution to journalArticle

    strings
    functionals

    Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence

    Grady, D. & Sati, H., Jan 1 2019, In : Algebraic and Geometric Topology. 19, 6, p. 2899-2960 62 p.

    Research output: Contribution to journalArticle

    Michael Francis Atiyah
    Spectral Sequence
    Cohomology
    K-theory
    Bundle
    2018

    Framed M-branes, corners, and topological invariants

    Sati, H., Jun 1 2018, In : Journal of Mathematical Physics. 59, 6, 062304.

    Research output: Contribution to journalArticle

    Topological Invariants
    Branes
    Hopf Invariant
    Invariant
    Effective Action

    Higher T-duality in M-theory via local supersymmetry

    Sati, H. & Schreiber, U., Jun 10 2018, In : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 781, p. 694-698 5 p.

    Research output: Contribution to journalArticle

    supersymmetry
    topology
    isomorphism
    homology
    string theory

    Massey products in differential cohomology via stacks

    Grady, D. & Sati, H., Mar 1 2018, In : Journal of Homotopy and Related Structures. 13, 1, p. 169-223 55 p.

    Research output: Contribution to journalArticle

    Cohomology
    Differential Geometry
    Physics

    Primary operations in differential cohomology

    Grady, D. & Sati, H., Sep 7 2018, In : Advances in Mathematics. 335, p. 519-562 44 p.

    Research output: Contribution to journalArticle

    Cohomology
    Higher geometry
    Computational Techniques
    Differential Forms
    Physics

    T-Duality from super Lie n-algebra cocycles for super p-branes

    Fiorenza, D., Sati, H. & Schreiber, U., Jan 1 2018, In : Advances in Theoretical and Mathematical Physics. 22, 5, p. 1209-1270 62 p.

    Research output: Contribution to journalArticle

    Cocycle
    Branes
    Duality
    algebra
    Lie Superalgebra

    Twisted smooth Deligne cohomology

    Grady, D. & Sati, H., Apr 1 2018, In : Annals of Global Analysis and Geometry. 53, 3, p. 445-466 22 p.

    Research output: Contribution to journalArticle

    Cohomology
    Twist
    De Rham Cohomology
    Refinement

    Variations of rational higher tangential structures

    Sati, H. & Wheeler, M., Aug 1 2018, In : Journal of Geometry and Physics. 130, p. 229-248 20 p.

    Research output: Contribution to journalArticle

    machinery
    bundles
    strings
    geometry
    Spin Structure
    2017

    Lie n-algebras of BPS charges

    Sati, H. & Schreiber, U., Mar 1 2017, In : Journal of High Energy Physics. 2017, 3, 87.

    Research output: Contribution to journalArticle

    algebra
    homology
    differential geometry
    functionals
    supersymmetry

    Rational sphere valued supercocycles in M-theory and type IIA string theory

    Fiorenza, D., Sati, H. & Schreiber, U., Apr 1 2017, In : Journal of Geometry and Physics. 114, p. 91-108 18 p.

    Research output: Contribution to journalArticle

    M-Theory
    Type Theory
    String Theory
    string theory
    Free Loop Space

    Spectral sequences in smooth generalized cohomology

    Grady, D. & Sati, H., Aug 3 2017, In : Algebraic and Geometric Topology. 17, 4, p. 2357-2412 56 p.

    Research output: Contribution to journalArticle

    Spectral Sequence
    Cohomology
    Morava K-theory
    Michael Francis Atiyah
    Smooth Manifold
    2015

    Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality

    Mathai, V. & Sati, H., Jun 1 2015, In : Journal of Geometry and Physics. 92, p. 240-251 12 p.

    Research output: Contribution to journalArticle

    Gerbes
    Branes
    Gauge Theory
    gauge theory
    Duality

    Integral group actions on symmetric spaces and discrete duality symmetries of supergravity theories

    Carbone, L., Murray, S. H. & Sati, H., Jan 1 2015, In : Journal of Mathematical Physics. 56, 10, 103501.

    Research output: Contribution to journalArticle

    Supergravity
    Group Action
    Symmetric Spaces
    supergravity
    Duality

    Ninebrane structures

    Sati, H., Apr 25 2015, In : International Journal of Geometric Methods in Modern Physics. 12, 4, 1550041.

    Research output: Contribution to journalArticle

    cancellation
    anomalies
    string theory
    homology
    strings

    Super-Lie n-algebra extensions, higher WZW models and super-p-branes with tensor multiplet fields

    Fiorenza, D., Sati, H. & Schreiber, U., Jan 1 2015, In : International Journal of Geometric Methods in Modern Physics. 12, 2, 1550018.

    Research output: Contribution to journalArticle

    algebra
    fine structure
    tensors
    homotopy theory
    condensates

    The Wess-Zumino-Witten term of the M5-brane and differential cohomotopy

    Fiorenza, D., Sati, H. & Schreiber, U., Jan 1 2015, In : Journal of Mathematical Physics. 56, 10, 102301.

    Research output: Contribution to journalArticle

    homology
    Branes
    homotopy theory
    Cocycle
    Cohomology
    2014
    M-Theory
    Partition Function
    Invariant
    Index Theory
    Eta Invariant

    Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons theory

    Fiorenza, D., Sati, H. & Schreiber, U., Jan 1 2014, In : Advances in Theoretical and Mathematical Physics. 18, 2, p. 229-321 93 p.

    Research output: Contribution to journalArticle

    Chern-Simons Theories
    instantons
    Branes
    gauge theory
    strings

    The E8 Moduli 3-Stack of the C-Field in M-Theory

    Fiorenza, D., Sati, H. & Schreiber, U., Jan 1 2014, In : Communications in Mathematical Physics. 333, 1, p. 117-151 35 p.

    Research output: Contribution to journalArticle

    M-Theory
    Modulus
    Cocycle
    homology
    configurations

    Twisted Morava K-theory and E-theory

    Sati, H. & Westerland, C., Jun 5 2014, In : Journal of Topology. 8, 4, p. 887-916 30 p.

    Research output: Contribution to journalArticle

    Morava K-theory
    M-Theory
    Michael Francis Atiyah
    Spectral Sequence
    String Theory
    2013

    Extended higher cup-Product Chern-Simons theories

    Fiorenza, D., Sati, H. & Schreiber, U., Dec 1 2013, In : Journal of Geometry and Physics. 74, p. 130-163 34 p.

    Research output: Contribution to journalArticle

    Cup Product
    Chern-Simons Theories
    bundles
    Modulus
    Supergravity
    2012

    Duality and cohomology in M-theory with boundary

    Sati, H., May 1 2012, In : Journal of Geometry and Physics. 62, 5, p. 1284-1297 14 p.

    Research output: Contribution to journalArticle

    M-Theory
    homology
    Harmonic Forms
    Cohomology
    Duality

    Twisted Differential String and Fivebrane Structures

    Sati, H., Schreiber, U. & Stasheff, J., Sep 1 2012, In : Communications in Mathematical Physics. 315, 1, p. 169-213 45 p.

    Research output: Contribution to journalArticle

    homology
    strings
    Strings
    Non-abelian Cohomology
    string theory
    strings
    membranes
    2011

    Anomalies of E8 gauge theory on string manifolds

    Sati, H., May 20 2011, In : International Journal of Modern Physics A. 26, 13, p. 2177-2197 21 p.

    Research output: Contribution to journalArticle

    gauge theory
    strings
    anomalies
    string theory
    partitions

    Constraints on heterotic M-theory from s-cobordism

    Sati, H., Dec 21 2011, In : Nuclear Physics B. 853, 3, p. 739-759 21 p.

    Research output: Contribution to journalArticle

    equivalence
    quotients
    torsion
    intervals
    rings

    Corners in m-theory

    Sati, H., Jun 24 2011, In : Journal of Physics A: Mathematical and Theoretical. 44, 25, 255402.

    Research output: Contribution to journalArticle

    String theory
    M-Theory
    Branes
    Anti-de Sitter Space
    Index Theorem
    Topological Structure
    Geometric Structure
    Branes
    Strings
    Spin Structure

    M-theory, the signature theorem, and geometric invariants

    Sati, H., Jun 22 2011, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 83, 12, 126010.

    Research output: Contribution to journalArticle

    theorems
    signatures
    constrictions
    cancellation
    string theory

    On the geometry of the supermultiplet in M-theory

    Sati, H., Nov 1 2011, In : International Journal of Geometric Methods in Modern Physics. 8, 7, p. 1519-1551 33 p.

    Research output: Contribution to journalArticle

    homology
    subgroups
    supergravity
    string theory
    compatibility

    Twisted topological structures related to M-branes

    Sati, H., Aug 1 2011, In : International Journal of Geometric Methods in Modern Physics. 8, 5, p. 1097-1116 20 p.

    Research output: Contribution to journalArticle

    towers
    membranes
    2010

    E8 gauge theory and gerbes in string theory

    Sati, H., Jan 1 2010, In : Advances in Theoretical and Mathematical Physics. 14, 2, p. 399-438 40 p.

    Research output: Contribution to journalArticle

    Gerbes
    String Theory
    Gauge Theory
    string theory
    bundles

    Hypermatrix factors for string and membrane junctions

    Fang, Y., Levkowitz, S., Sati, H. & Thompson, D., Dec 17 2010, In : Journal of Physics A: Mathematical and Theoretical. 43, 50, 505401.

    Research output: Contribution to journalArticle

    Algebra
    Lie Algebra
    algebra
    vector spaces
    strings
    2009

    A higher twist in string theory

    Sati, H., Mar 1 2009, In : Journal of Geometry and Physics. 59, 3, p. 369-373 5 p.

    Research output: Contribution to journalArticle

    Gauge Field
    String Theory
    Twist
    string theory
    homology

    Fivebrane structures

    Sati, H., Schreiber, U. & Stasheff, J., Nov 1 2009, In : Reviews in Mathematical Physics. 21, 10, p. 1197-1240 44 p.

    Research output: Contribution to journalArticle

    cancellation
    strings
    anomalies
    string theory
    Cancellation

    OP2 bundles in M-theory

    Sati, H., Jan 1 2009, In : Communications in Number Theory and Physics. 3, 3, p. 495-530 36 p.

    Research output: Contribution to journalArticle

    Exceptional Lie Groups
    M-Theory
    Cayley
    homology
    Supergravity

    The loop group of e8 and targets for spacetime

    Sati, H., Jan 10 2009, In : Modern Physics Letters A. 24, 1, p. 25-40 16 p.

    Research output: Contribution to journalArticle

    bundles
    classifying
    string theory
    proposals
    gauge theory
    2008

    An approach to anomalies in M-theory via KSpin

    Sati, H., Mar 1 2008, In : Journal of Geometry and Physics. 58, 3, p. 387-401 15 p.

    Research output: Contribution to journalArticle

    M-Theory
    Anomaly
    K-theory
    anomalies
    Characteristic Classes
    2006

    Duality symmetry and the form fields of M-theory

    Sati, H., Jul 1 2006, In : Journal of High Energy Physics. 2006, 6, 062.

    Research output: Contribution to journalArticle

    homology
    field strength
    symmetry

    Flux compactifications on projective spaces and the S-duality puzzle

    Bouwknegt, P., Evslin, J., Jurčo, B., Mathai, V. & Sati, H., Jan 1 2006, In : Advances in Theoretical and Mathematical Physics. 10, 3, p. 345-394 50 p.

    Research output: Contribution to journalArticle

    Compactification
    Projective Space
    Duality
    Branes
    K-theory
    2005

    Flux quantization and the M-theoretic characters

    Sati, H., Nov 7 2005, In : Nuclear Physics B. 727, 3, p. 461-470 10 p.

    Research output: Contribution to journalArticle

    flux quantization
    homology

    M-theory and characteristic classes

    Sati, H., Aug 1 2005, In : Journal of High Energy Physics. 8, p. 537-544 8 p.

    Research output: Contribution to journalArticle

    strings

    Type IIB string theory, S-duality, and generalized cohomology

    Kriz, I. & Sati, H., May 30 2005, In : Nuclear Physics B. 715, 3, p. 639-664 26 p.

    Research output: Contribution to journalArticle

    homology
    string theory
    proposals

    Type II string theory and modularity

    Kriz, I. & Sati, H., Aug 1 2005, In : Journal of High Energy Physics. 8, p. 1041-1070 30 p.

    Research output: Contribution to journalArticle

    modularity
    homology
    string theory
    curves
    refining
    2004

    Complementarity of the Maldacena and Karch-Randall pictures

    Duff, M. J., Liu, J. T. & Sati, H., Jan 1 2004, In : Physical Review D - Particles, Fields, Gravitation and Cosmology. 69, 8, 1 p.

    Research output: Contribution to journalArticle

    gravitons
    gravitational fields
    anomalies
    propagation