diff --git a/crates/doc/src/text.rs b/crates/doc/src/text.rs
index 6f7836fa46..900e487f07 100644
--- a/crates/doc/src/text.rs
+++ b/crates/doc/src/text.rs
@@ -32,6 +32,16 @@ pub enum Caps {
     AllCaps,
 }
 
+/// Superscript / subscript (Photoshop's `FontBaseline`). The run is drawn smaller and raised or
+/// lowered; `size_pt` and `baseline_shift_pt` keep their own values.
+#[derive(Clone, Copy, Debug, Default, PartialEq, Eq, Serialize, Deserialize)]
+pub enum FontBaseline {
+    #[default]
+    Normal,
+    Superscript,
+    Subscript,
+}
+
 /// An OpenType feature setting, e.g. `{ tag: "ss01", value: 1 }`.
 #[derive(Clone, Debug, PartialEq, Eq, Serialize, Deserialize)]
 pub struct FontFeature {
@@ -79,6 +89,8 @@ pub struct CharStyle {
     /// per character run as `Kerning`). Added to the automatic kerning of the pair.
     pub kern: f32,
     pub caps: Caps,
+    /// Superscript or subscript.
+    pub baseline: FontBaseline,
     /// Standard ligatures (`liga`/`clig`).
     pub ligatures: bool,
     /// Discretionary ligatures (`dlig`).
@@ -117,6 +129,7 @@ impl Default for CharStyle {
             kerning: Kerning::Metrics,
             kern: 0.0,
             caps: Caps::Normal,
+            baseline: FontBaseline::Normal,
             ligatures: true,
             discretionary_ligatures: false,
             features: Vec::new(),
diff --git a/crates/engine/src/type_cmds.rs b/crates/engine/src/type_cmds.rs
index 439d1f008b..030fe18510 100644
--- a/crates/engine/src/type_cmds.rs
+++ b/crates/engine/src/type_cmds.rs
@@ -10,7 +10,8 @@ use std::sync::Arc;
 
 use photocraft_color::Color;
 use photocraft_doc::text::{
-    AntiAlias, Caps, CharStyle, FontFeature, FontVariation, Kerning, Orientation, ParagraphRun, ParagraphStyle, TextAlign, TextDirection, TextRun, TextShape,
+    AntiAlias, Caps, CharStyle, FontBaseline, FontFeature, FontVariation, Kerning, Orientation, ParagraphRun, ParagraphStyle, TextAlign, TextDirection,
+    TextRun, TextShape,
 };
 use photocraft_doc::{Affine, Document, Layer, LayerContent, LayerId, TextLayer};
 use serde_json::{Value, json};
@@ -363,6 +364,14 @@ pub fn apply_char_props(s: &mut CharStyle, p: &Value) -> bool {
         };
         hit(true);
     }
+    if let Some(v) = p.get("baseline").and_then(Value::as_str) {
+        s.baseline = match v {
+            "superscript" => FontBaseline::Superscript,
+            "subscript" => FontBaseline::Subscript,
+            _ => FontBaseline::Normal,
+        };
+        hit(true);
+    }
     if let Some(Value::Object(m)) = p.get("features") {
         for (tag, v) in m {
             let value = v.as_u64().map(|x| x as u16).or_else(|| v.as_bool().map(u16::from)).unwrap_or(1);
@@ -826,7 +835,7 @@ pub(crate) fn new_text_layer(s: &Session, p: &Value, cmd: &str) -> Result<TextLa
     Ok(t)
 }
 
-const CHAR_PARAMS: &str = r##""font":str,"fontStyle":str,"weight":100..900,"italic":bool,"size":0.1..=1296 pt,"color":"#rrggbb"|[r,g,b,a],"tracking":-1000..=10000 (1/1000 em),"leading":pt|"auto","baselineShift":pt,"horizontalScale":%,"verticalScale":%,"underline":bool,"strikethrough":bool,"fauxBold":bool,"fauxItalic":bool,"kerning":1/1000em (manual, after each character)|"metrics"|"optical"|"off","caps":"normal|small|all","ligatures":bool,"discretionaryLigatures":bool,"features":{"ss01":1},"variations":{"wght":650},"language":str"##;
+const CHAR_PARAMS: &str = r##""font":str,"fontStyle":str,"weight":100..900,"italic":bool,"size":0.1..=1296 pt,"color":"#rrggbb"|[r,g,b,a],"tracking":-1000..=10000 (1/1000 em),"leading":pt|"auto","baselineShift":pt,"horizontalScale":%,"verticalScale":%,"underline":bool,"strikethrough":bool,"fauxBold":bool,"fauxItalic":bool,"kerning":1/1000em (manual, after each character)|"metrics"|"optical"|"off","caps":"normal|small|all","baseline":"normal|superscript|subscript","ligatures":bool,"discretionaryLigatures":bool,"features":{"ss01":1},"variations":{"wght":650},"language":str"##;
 
 pub fn specs() -> Vec<CommandSpec> {
     vec![
diff --git a/crates/engine/src/type_styles_cmds.rs b/crates/engine/src/type_styles_cmds.rs
index 797dfe7f8a..93b4261a00 100644
--- a/crates/engine/src/type_styles_cmds.rs
+++ b/crates/engine/src/type_styles_cmds.rs
@@ -84,7 +84,7 @@ fn id_param(cmd: &str, p: &Value) -> Result<Option<u32>> {
 /// A character style with every field changed from the default, to see which fields a set of
 /// Character-panel keys touches.
 fn perturbed_char() -> CharStyle {
-    use photocraft_doc::text::{Caps, FontFeature, FontVariation, Kerning};
+    use photocraft_doc::text::{Caps, FontBaseline, FontFeature, FontVariation, Kerning};
     CharStyle {
         font_family: "\u{1}".into(),
         font_style: "\u{1}".into(),
@@ -105,6 +105,7 @@ fn perturbed_char() -> CharStyle {
         kerning: Kerning::Off,
         kern: -12345.0,
         caps: Caps::AllCaps,
+        baseline: FontBaseline::Subscript,
         ligatures: false,
         discretionary_ligatures: true,
         features: vec![FontFeature { tag: "\u{1}".into(), value: 9 }],
diff --git a/crates/format/tests/roundtrip.rs b/crates/format/tests/roundtrip.rs
index f78e93947e..5a4fe87b2d 100644
--- a/crates/format/tests/roundtrip.rs
+++ b/crates/format/tests/roundtrip.rs
@@ -213,6 +213,29 @@ fn exhausted_document_ids_and_maximal_text_runs_roundtrip() {
     assert_eq!(text.paragraph_runs().iter().map(|r| r.len).sum::<usize>(), text.text.len());
 }
 
+#[test]
+fn text_run_baseline_roundtrips() {
+    use photocraft_doc::text::FontBaseline;
+    let mut doc = Document::new("scripts", photocraft_doc::Size::new(2, 1), ColorMode::Rgb, SampleType::U8);
+    doc.layers.push(Layer::new(
+        "Text",
+        LayerContent::Text(TextLayer {
+            text: "H2O2".into(),
+            runs: vec![
+                TextRun { len: 1, style: CharStyle::default() },
+                TextRun { len: 1, style: CharStyle { baseline: FontBaseline::Subscript, ..Default::default() } },
+                TextRun { len: 1, style: CharStyle::default() },
+                TextRun { len: 1, style: CharStyle { baseline: FontBaseline::Superscript, ..Default::default() } },
+            ],
+            ..Default::default()
+        }),
+    ));
+    let loaded = load_from_bytes(&save_to_bytes(&doc, &SaveOptions::default()).unwrap()).unwrap();
+    let LayerContent::Text(text) = &loaded.layers.last().unwrap().content else { panic!("text layer must roundtrip") };
+    let baselines: Vec<FontBaseline> = text.char_runs().iter().map(|r| r.style.baseline).collect();
+    assert_eq!(baselines, [FontBaseline::Normal, FontBaseline::Subscript, FontBaseline::Normal, FontBaseline::Superscript]);
+}
+
 #[test]
 fn zip_incremental_only_new_tiles() {
     let mut doc = rich_doc(ColorMode::Rgb, SampleType::U16);
diff --git a/crates/text/src/layout.rs b/crates/text/src/layout.rs
index b79f4e3ceb..8ca0b6c2aa 100644
--- a/crates/text/src/layout.rs
+++ b/crates/text/src/layout.rs
@@ -22,7 +22,7 @@ use parley::{
     PositionedLayoutItem, StyleProperty,
 };
 use photocraft_doc::TextLayer;
-use photocraft_doc::text::{Caps, CharStyle, Kerning, Orientation, TextAlign, TextDirection, TextShape};
+use photocraft_doc::text::{Caps, CharStyle, FontBaseline, Kerning, Orientation, TextAlign, TextDirection, TextShape};
 use skrifa::raw::types::Tag;
 
 use crate::fonts::FontDb;
@@ -31,6 +31,23 @@ use crate::fonts::FontDb;
 /// readable hierarchy for every font instead of silently rendering lowercase text unchanged.
 const SYNTHETIC_SMALL_CAPS_SCALE: f32 = 0.7;
 
+/// Photoshop's default superscript / subscript size and position (Type preferences, stored in a
+/// PSD's text resources as `SuperscriptSize` .583, `SuperscriptPosition` .333 and their
+/// `Subscript` twins): the run is drawn at 58.3% of its size and moved by 33.3% of its size.
+const SCRIPT_SIZE: f32 = 0.583;
+const SCRIPT_POSITION: f32 = 0.333;
+
+/// The style a run is drawn with: superscript and subscript shrink it and shift its baseline.
+fn drawn_style(s: &mut CharStyle) {
+    let dir = match s.baseline {
+        FontBaseline::Normal => return,
+        FontBaseline::Superscript => 1.0,
+        FontBaseline::Subscript => -1.0,
+    };
+    s.baseline_shift_pt += dir * SCRIPT_POSITION * s.size_pt;
+    s.size_pt *= SCRIPT_SIZE;
+}
+
 /// Photoshop's default tab stops: every half inch, measured from the anchor of point text or the
 /// left edge of a paragraph box. PSD type carries no custom tab stops, so these are the only ones.
 pub const DEFAULT_TAB_STOP_PT: f32 = 36.0;
@@ -480,6 +497,7 @@ impl Layouter {
                 crate::served::request(&s.font_family);
             }
             fonts.select_named_face(&mut s);
+            drawn_style(&mut s);
             out.styles.push(s);
         }
         let run_starts: Vec<usize> = runs
diff --git a/crates/text/src/psd.rs b/crates/text/src/psd.rs
index 8c502c75af..a2350d10f2 100644
--- a/crates/text/src/psd.rs
+++ b/crates/text/src/psd.rs
@@ -11,7 +11,9 @@
 
 use photocraft_color::{Color, ColorMode};
 use photocraft_doc::TextLayer;
-use photocraft_doc::text::{AntiAlias, Caps, CharStyle, Kerning, Orientation, ParagraphRun, ParagraphStyle, TextAlign, TextRun, TextShape, TextWarp};
+use photocraft_doc::text::{
+    AntiAlias, Caps, CharStyle, FontBaseline, Kerning, Orientation, ParagraphRun, ParagraphStyle, TextAlign, TextRun, TextShape, TextWarp,
+};
 use photocraft_geom::{Affine, Point};
 use photocraft_psd::descriptor::{Descriptor, Id, UnicodeString, Value as D, VersionedDescriptor};
 
@@ -626,6 +628,11 @@ pub(crate) fn char_style(base: Option<&E>, d: &E, fonts: &[String], k: f32) -> C
         Some(2) => Caps::AllCaps,
         _ => Caps::Normal,
     };
+    s.baseline = match g("FontBaseline").and_then(E::as_i64) {
+        Some(1) => FontBaseline::Superscript,
+        Some(2) => FontBaseline::Subscript,
+        _ => FontBaseline::Normal,
+    };
     if let Some(c) = g("FillColor") {
         // Positions matter (alpha, then the channels): a non-finite entry voids the colour.
         let v: Vec<f64> = c.get("Values").and_then(E::as_array).map(|a| a.iter().filter_map(E::as_f64).collect()).unwrap_or_default();
@@ -861,6 +868,14 @@ pub(crate) fn style_sheet_data(s: &CharStyle, font: usize, k: f32) -> E {
                 Caps::AllCaps => 2,
             }),
         ),
+        (
+            "FontBaseline".into(),
+            E::Int(match s.baseline {
+                FontBaseline::Normal => 0,
+                FontBaseline::Superscript => 1,
+                FontBaseline::Subscript => 2,
+            }),
+        ),
         ("Underline".into(), E::Bool(s.underline)),
         ("Strikethrough".into(), E::Bool(s.strikethrough)),
         ("Ligatures".into(), E::Bool(s.ligatures)),
@@ -1365,6 +1380,19 @@ mod nonfinite_tests {
         assert_eq!(char_style(None, &d, &[], 1.0).size_pt, 24.0);
     }
 
+    /// #5645: `FontBaseline` (1 superscript, 2 subscript) is read and written back.
+    #[test]
+    fn font_baseline_round_trips() {
+        use photocraft_doc::text::FontBaseline;
+        let d = parse(b"<< /FontBaseline 2 >>").unwrap();
+        assert_eq!(char_style(None, &d, &[], 1.0).baseline, FontBaseline::Subscript);
+        let d = parse(b"<< /FontBaseline 1 >>").unwrap();
+        assert_eq!(char_style(None, &d, &[], 1.0).baseline, FontBaseline::Superscript);
+        let s = CharStyle { baseline: FontBaseline::Subscript, ..Default::default() };
+        let back = char_style(None, &style_sheet_data(&s, 0, 1.0), &[], 1.0);
+        assert_eq!(back.baseline, FontBaseline::Subscript);
+    }
+
     #[test]
     fn warp_values_beyond_f32_clamp_to_the_warp_range() {
         let warp = Descriptor::new("warp")
diff --git a/crates/text/src/tests.rs b/crates/text/src/tests.rs
index a6c24e5da0..9022c9defb 100644
--- a/crates/text/src/tests.rs
+++ b/crates/text/src/tests.rs
@@ -504,6 +504,32 @@ fn styles_change_pixels() {
     assert!(hrect.width() as f32 > prect.width() as f32 * 1.7);
 }
 
+/// #5645: superscript and subscript runs are drawn at 58.3% of their size, raised or lowered by
+/// 33.3% of it, as Photoshop draws them; they used to be drawn as plain text.
+#[test]
+fn superscript_and_subscript_shrink_and_shift_the_run() {
+    use photocraft_doc::text::FontBaseline;
+    let mut e = TextEngine::new();
+    let base = CharStyle { size_pt: 60.0, ..Default::default() };
+    let rect = |e: &mut TextEngine, baseline: FontBaseline| {
+        let (_, r) =
+            e.render(&TextLayer { transform: Affine::translate(5.0, 100.0), ..styled("H", CharStyle { baseline, ..base.clone() }) }, 72.0, PixelFormat::RGBA8);
+        r.rect
+    };
+    let plain = rect(&mut e, FontBaseline::Normal);
+    let sup = rect(&mut e, FontBaseline::Superscript);
+    let sub = rect(&mut e, FontBaseline::Subscript);
+    // Scripts render at 58.3% of the size. The pixel-snapped bounds of the antialiased glyph land
+    // within 2 px of the exact scaled height (measured: +2.2 / +1.2 px at 46 px plain height).
+    let expect = plain.height() as f32 * 0.583;
+    for r in [&sup, &sub] {
+        assert!((r.height() as f32 - expect).abs() <= 2.5, "plain {plain:?}, scripted {r:?}");
+    }
+    // The cap's foot sits on the shifted baseline: 20 px (33.3% of 60) above or below.
+    assert!((plain.y1 - sup.y1 - 20).abs() <= 2, "plain {plain:?}, superscript {sup:?}");
+    assert!((sub.y1 - plain.y1 - 20).abs() <= 2, "plain {plain:?}, subscript {sub:?}");
+}
+
 /// #4130: Faux bold at 72 dpi looked pixelated because the offset copies were summed into one
 /// coverage buffer, saturating every antialiased edge pixel. Edges must stay antialiased and the
 /// ink must grow only by the dilation (about perimeter x radius), not by edge saturation.