Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
48200 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6407 | 0.8088 | 0.7921 | [M:[0.8966, 1.0345, 1.1034, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | {a: 125001/195112, c: 19725/24389, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1 | t^2.069 + t^2.276 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 2*t^4.759 + 2*t^4.966 + 2*t^5.172 + 2*t^5.379 + 3*t^5.586 + 4*t^5.793 + t^6. + 4*t^6.207 + 4*t^6.414 + 3*t^6.621 + 5*t^6.828 + 5*t^7.034 + 4*t^7.241 + 4*t^7.448 + 6*t^7.655 + 5*t^7.862 + 3*t^8.069 + 5*t^8.276 + 5*t^8.483 + 4*t^8.69 + 4*t^8.897 - t^4.448/y - t^6.517/y + t^7.345/y + t^7.759/y + (2*t^7.966)/y + (2*t^8.172)/y + (3*t^8.379)/y + (3*t^8.586)/y + (4*t^8.793)/y - t^4.448*y - t^6.517*y + t^7.345*y + t^7.759*y + 2*t^7.966*y + 2*t^8.172*y + 3*t^8.379*y + 3*t^8.586*y + 4*t^8.793*y | t^2.069 + t^2.276 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 2*t^4.759 + 2*t^4.966 + 2*t^5.172 + 2*t^5.379 + 3*t^5.586 + 4*t^5.793 + t^6. + 4*t^6.207 + 4*t^6.414 + 3*t^6.621 + 5*t^6.828 + 5*t^7.034 + 4*t^7.241 + 4*t^7.448 + 6*t^7.655 + 5*t^7.862 + 3*t^8.069 + 5*t^8.276 + 5*t^8.483 + 4*t^8.69 + 4*t^8.897 - t^4.448/y - t^6.517/y + t^7.345/y + t^7.759/y + (2*t^7.966)/y + (2*t^8.172)/y + (3*t^8.379)/y + (3*t^8.586)/y + (4*t^8.793)/y - t^4.448*y - t^6.517*y + t^7.345*y + t^7.759*y + 2*t^7.966*y + 2*t^8.172*y + 3*t^8.379*y + 3*t^8.586*y + 4*t^8.793*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
55939 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{5}$ | 0.6313 | 0.7929 | 0.7961 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.1034], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + t^2.276 + t^2.897 + t^3.103 + 2*t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + t^4.759 + t^4.966 + 2*t^5.172 + 2*t^5.379 + 3*t^5.586 + 3*t^5.793 - t^4.448/y - t^4.448*y | detail | {a: 246339/390224, c: 154707/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 32/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
55940 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{5}$ | 0.6439 | 0.8141 | 0.7909 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 0.9655], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + t^2.276 + t^2.69 + 2*t^2.897 + t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 2*t^4.759 + 3*t^4.966 + 2*t^5.172 + t^5.379 + 4*t^5.586 + 5*t^5.793 - t^4.448/y - t^4.448*y | detail | {a: 251259/390224, c: 158849/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 28/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
55941 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ | 0.65 | 0.8246 | 0.7883 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 0.8966], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + t^2.276 + 2*t^2.69 + t^2.897 + t^3.103 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 3*t^4.759 + 3*t^4.966 + 2*t^5.172 + 3*t^5.379 + 3*t^5.586 + 5*t^5.793 - t^4.448/y - t^4.448*y | detail | {a: 253665/390224, c: 160893/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 26/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
55029 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{5}$ | 0.62 | 0.7687 | 0.8065 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.3103], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.276 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + 2*t^3.931 + t^4.138 + t^4.345 + t^4.552 + t^4.759 + t^4.966 + t^5.172 + t^5.379 + t^5.586 + 3*t^5.793 - t^4.448/y - t^4.448*y | detail | {a: 241929/390224, c: 149979/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 38/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
55942 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6593 | 0.8425 | 0.7826 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 0.7586], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + 2*t^2.276 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + 2*t^3.517 + t^3.931 + 2*t^4.138 + 3*t^4.345 + 3*t^4.552 + 2*t^4.759 + 3*t^4.966 + 3*t^5.172 + 3*t^5.379 + 4*t^5.586 + 5*t^5.793 - t^4.448/y - t^4.448*y | detail | {a: 257289/390224, c: 164387/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 22/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
55943 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6614 | 0.8489 | 0.7791 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.069 + t^2.276 + t^2.69 + t^2.897 + t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + 4*t^4.138 + 3*t^4.345 + t^4.552 + 3*t^4.759 + 3*t^4.966 + 3*t^5.172 + 3*t^5.379 + 5*t^5.586 + 5*t^5.793 - t^4.448/y - t^4.448*y | detail | {a: 258075/390224, c: 165621/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
46744 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6903 | 0.8614 | 0.8014 | [M:[0.6811, 1.1063, 0.9718, 0.7375], q:[0.7766, 0.5423], qb:[0.4859, 0.4078], phi:[0.4469]] | t^2.043 + t^2.213 + t^2.681 + t^2.85 + t^2.915 + t^3.319 + t^3.553 + t^3.787 + t^4.022 + t^4.087 + t^4.191 + 2*t^4.256 + 2*t^4.425 + t^4.594 + t^4.725 + 2*t^4.894 + t^4.959 + t^5.063 + t^5.128 + 2*t^5.362 + 2*t^5.531 + t^5.597 + t^5.701 + t^5.766 + t^5.831 - t^6. - t^4.341/y - t^4.341*y | detail |