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 |
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4807 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{7}X_{1}$ | 0.6843 | 0.8577 | 0.7979 | [X:[1.3548], M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.7097, 0.6452], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 163095/238328, c: 102209/119164, X1: 42/31, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 22/31, M7: 20/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}$ | 0 | t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.097 + t^3.484 + t^3.677 + 2*t^4.065 + 2*t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 3*t^5.032 + 3*t^5.226 + 2*t^5.419 + 2*t^5.613 + 3*t^5.806 + 3*t^6.194 + 4*t^6.387 + 4*t^6.581 + 4*t^6.774 + 5*t^6.968 + 7*t^7.161 + 4*t^7.355 + 6*t^7.548 + 5*t^7.742 + 5*t^7.935 + 3*t^8.129 + 3*t^8.323 + 6*t^8.516 + 3*t^8.71 + 5*t^8.903 - t^4.355/y - t^6.484/y - t^6.677/y - t^7.065/y + t^7.452/y + (2*t^7.645)/y + (2*t^7.839)/y + (3*t^8.032)/y + (4*t^8.226)/y + (2*t^8.419)/y + (2*t^8.613)/y + (2*t^8.806)/y - t^4.355*y - t^6.484*y - t^6.677*y - t^7.065*y + t^7.452*y + 2*t^7.645*y + 2*t^7.839*y + 3*t^8.032*y + 4*t^8.226*y + 2*t^8.419*y + 2*t^8.613*y + 2*t^8.806*y | t^2.129 + t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.097 + t^3.484 + t^3.677 + 2*t^4.065 + 2*t^4.258 + 2*t^4.452 + 2*t^4.645 + 3*t^4.839 + 3*t^5.032 + 3*t^5.226 + 2*t^5.419 + 2*t^5.613 + 3*t^5.806 + 3*t^6.194 + 4*t^6.387 + 4*t^6.581 + 4*t^6.774 + 5*t^6.968 + 7*t^7.161 + 4*t^7.355 + 6*t^7.548 + 5*t^7.742 + 5*t^7.935 + 3*t^8.129 + 3*t^8.323 + 6*t^8.516 + 3*t^8.71 + 5*t^8.903 - t^4.355/y - t^6.484/y - t^6.677/y - t^7.065/y + t^7.452/y + (2*t^7.645)/y + (2*t^7.839)/y + (3*t^8.032)/y + (4*t^8.226)/y + (2*t^8.419)/y + (2*t^8.613)/y + (2*t^8.806)/y - t^4.355*y - t^6.484*y - t^6.677*y - t^7.065*y + t^7.452*y + 2*t^7.645*y + 2*t^7.839*y + 3*t^8.032*y + 4*t^8.226*y + 2*t^8.419*y + 2*t^8.613*y + 2*t^8.806*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 |
---|---|---|---|---|---|---|---|---|
6426 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{7}X_{1}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7023 | 0.8898 | 0.7893 | [X:[1.3548], M:[1.0323, 0.7742, 0.9677, 0.8387, 1.1613, 0.7097, 0.6452, 0.7742], q:[0.5806, 0.3871], qb:[0.4516, 0.7742], phi:[0.4516]] | t^2.129 + 2*t^2.323 + t^2.516 + t^2.71 + t^2.903 + t^3.097 + t^3.484 + 2*t^4.065 + 2*t^4.258 + 3*t^4.452 + 4*t^4.645 + 4*t^4.839 + 4*t^5.032 + 4*t^5.226 + 3*t^5.419 + 2*t^5.613 + 3*t^5.806 - t^6. - t^4.355/y - t^4.355*y | detail | {a: 334737/476656, c: 212055/238328, X1: 42/31, M1: 32/31, M2: 24/31, M3: 30/31, M4: 26/31, M5: 36/31, M6: 22/31, M7: 20/31, M8: 24/31, q1: 18/31, q2: 12/31, qb1: 14/31, qb2: 24/31, phi1: 14/31} |
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 |
---|---|---|---|---|---|---|---|---|---|
2665 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7074 | 0.9012 | 0.785 | [M:[0.9807, 0.7799, 0.9305, 0.8301, 1.1699, 0.7297, 0.6795], q:[0.6294, 0.39], qb:[0.4402, 0.7799], phi:[0.4402]] | t^2.039 + t^2.189 + t^2.34 + t^2.49 + t^2.641 + t^2.791 + t^2.942 + t^3.51 + t^3.66 + t^4.077 + 2*t^4.228 + 3*t^4.378 + 3*t^4.529 + 3*t^4.68 + 3*t^4.83 + 4*t^4.981 + t^5.097 + 3*t^5.131 + 2*t^5.282 + t^5.432 + t^5.548 + 2*t^5.583 + 2*t^5.699 + t^5.734 + t^5.849 + t^5.884 - t^6. - t^4.32/y - t^4.32*y | detail |