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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6764 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{4}X_{1}$ | 0.5576 | 0.7169 | 0.7778 | [X:[1.4839], M:[0.7097, 1.0968, 1.2903, 0.5161, 0.7097, 0.8387, 0.9032, 1.1613], q:[0.5161, 0.7742], qb:[0.1935, 0.7097], phi:[0.4516]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 265803/476656, c: 170861/238328, X1: 46/31, M1: 22/31, M2: 34/31, M3: 40/31, M4: 16/31, M5: 22/31, M6: 26/31, M7: 28/31, M8: 36/31, q1: 16/31, q2: 24/31, qb1: 6/31, qb2: 22/31, phi1: 14/31} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{8}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.129 + t^2.516 + 2*t^2.71 + t^2.903 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 4*t^4.839 + 3*t^5.032 + 2*t^5.226 + 3*t^5.419 + 4*t^5.613 + t^5.806 - 2*t^6. + 3*t^6.194 + 5*t^6.387 + t^6.581 + 2*t^6.774 + 6*t^6.968 + 6*t^7.161 + 2*t^7.355 + 5*t^7.548 + 8*t^7.742 + 3*t^7.935 + t^8.129 + 6*t^8.323 + 3*t^8.516 - 4*t^8.71 + t^8.903 - t^4.355/y - t^6.484/y - t^7.065/y + t^7.258/y + (3*t^7.645)/y + (4*t^7.839)/y + (2*t^8.032)/y + (3*t^8.226)/y + (2*t^8.419)/y + (3*t^8.613)/y + (2*t^8.806)/y - t^4.355*y - t^6.484*y - t^7.065*y + t^7.258*y + 3*t^7.645*y + 4*t^7.839*y + 2*t^8.032*y + 3*t^8.226*y + 2*t^8.419*y + 3*t^8.613*y + 2*t^8.806*y | 2*t^2.129 + t^2.516 + 2*t^2.71 + t^2.903 + t^3.484 + t^3.677 + t^4.065 + 3*t^4.258 + t^4.452 + 2*t^4.645 + 4*t^4.839 + 3*t^5.032 + 2*t^5.226 + 3*t^5.419 + 4*t^5.613 + t^5.806 - 2*t^6. + 3*t^6.194 + 5*t^6.387 + t^6.581 + 2*t^6.774 + 6*t^6.968 + 6*t^7.161 + 2*t^7.355 + 5*t^7.548 + 8*t^7.742 + 3*t^7.935 + t^8.129 + 6*t^8.323 + 3*t^8.516 - 4*t^8.71 + t^8.903 - t^4.355/y - t^6.484/y - t^7.065/y + t^7.258/y + (3*t^7.645)/y + (4*t^7.839)/y + (2*t^8.032)/y + (3*t^8.226)/y + (2*t^8.419)/y + (3*t^8.613)/y + (2*t^8.806)/y - t^4.355*y - t^6.484*y - t^7.065*y + t^7.258*y + 3*t^7.645*y + 4*t^7.839*y + 2*t^8.032*y + 3*t^8.226*y + 2*t^8.419*y + 3*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
5217 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7212 | 0.9361 | 0.7705 | [M:[0.8314, 1.0562, 1.1686, 0.719, 0.8314, 0.6967, 0.9438, 0.6745], q:[0.4046, 0.7641], qb:[0.4268, 0.517], phi:[0.4719]] | t^2.023 + t^2.09 + t^2.157 + 2*t^2.494 + t^2.765 + 2*t^2.831 + t^3.573 + t^3.843 + t^4.047 + t^4.114 + 3*t^4.18 + 2*t^4.247 + t^4.314 + 3*t^4.518 + 2*t^4.584 + 2*t^4.651 + t^4.788 + 3*t^4.855 + 3*t^4.922 + 5*t^4.988 + 2*t^5.259 + 4*t^5.326 + t^5.529 + 3*t^5.596 + 3*t^5.663 + t^5.866 - 2*t^6. - t^4.416/y - t^4.416*y | detail |