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 |
|---|---|---|---|---|---|---|---|---|---|
| 4386 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{2}M_{7}$ | 0.7022 | 0.8718 | 0.8054 | [M:[0.7143, 1.1429, 1.0, 0.9762, 0.7381, 1.0238, 0.8571, 0.9762], q:[0.6667, 0.619], qb:[0.3571, 0.6429], phi:[0.4286]] | [M:[[0], [0], [0], [1], [-1], [-1], [0], [1]], q:[[-1], [1]], qb:[[0], [0]], phi:[[0]]] | 1 | {a: 1101/1568, c: 1367/1568, M1: 5/7, M2: 8/7, M3: 1, M4: 41/42, M5: 31/42, M6: 43/42, M7: 6/7, M8: 41/42, q1: 2/3, q2: 13/21, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$ | ${}$ | -2 | t^2.143 + t^2.214 + t^2.571 + 2*t^2.929 + t^3. + t^3.429 + t^3.929 + t^4.214 + 2*t^4.286 + 2*t^4.357 + t^4.429 + t^4.714 + t^4.786 + t^5. + 2*t^5.071 + 5*t^5.143 + t^5.214 + t^5.286 + 2*t^5.5 + 2*t^5.571 + t^5.643 + 2*t^5.857 - 2*t^6. - t^6.071 + 2*t^6.357 + 3*t^6.429 + 3*t^6.5 + 2*t^6.571 + t^6.643 + 2*t^6.857 + 2*t^6.929 + t^7. + 2*t^7.143 + 3*t^7.214 + 4*t^7.286 + 4*t^7.357 + t^7.429 + t^7.5 + t^7.571 + 2*t^7.643 + 6*t^7.714 + 2*t^7.786 + 3*t^7.857 + 2*t^7.929 + 3*t^8. + 4*t^8.071 - t^8.143 - 2*t^8.214 + 2*t^8.429 + t^8.5 + t^8.571 + t^8.643 + 2*t^8.714 + 4*t^8.786 - 5*t^8.929 - t^4.286/y - t^6.429/y - t^6.5/y - t^6.857/y - t^7.214/y + (2*t^7.357)/y + (2*t^7.714)/y + t^7.786/y + (3*t^8.071)/y + (4*t^8.143)/y + t^8.214/y + (2*t^8.5)/y + t^8.571/y - t^8.714/y + t^8.857/y + (2*t^8.929)/y - t^4.286*y - t^6.429*y - t^6.5*y - t^6.857*y - t^7.214*y + 2*t^7.357*y + 2*t^7.714*y + t^7.786*y + 3*t^8.071*y + 4*t^8.143*y + t^8.214*y + 2*t^8.5*y + t^8.571*y - t^8.714*y + t^8.857*y + 2*t^8.929*y | t^2.143 + t^2.214/g1 + t^2.571 + 2*g1*t^2.929 + t^3. + t^3.429 + t^3.929/g1 + g1*t^4.214 + 2*t^4.286 + (2*t^4.357)/g1 + t^4.429/g1^2 + t^4.714 + t^4.786/g1 + g1^2*t^5. + 2*g1*t^5.071 + 5*t^5.143 + t^5.214/g1 + t^5.286/g1^2 + 2*g1*t^5.5 + 2*t^5.571 + t^5.643/g1 + 2*g1^2*t^5.857 - 2*t^6. - t^6.071/g1 + 2*g1*t^6.357 + 3*t^6.429 + (3*t^6.5)/g1 + (2*t^6.571)/g1^2 + t^6.643/g1^3 + 2*t^6.857 + (2*t^6.929)/g1 + t^7./g1^2 + 2*g1^2*t^7.143 + 3*g1*t^7.214 + 4*t^7.286 + (4*t^7.357)/g1 + t^7.429/g1^2 + t^7.5/g1^3 + g1^2*t^7.571 + 2*g1*t^7.643 + 6*t^7.714 + (2*t^7.786)/g1 + (3*t^7.857)/g1^2 + 2*g1^3*t^7.929 + 3*g1^2*t^8. + 4*g1*t^8.071 - t^8.143 - (2*t^8.214)/g1 + 2*g1^2*t^8.429 + g1*t^8.5 + t^8.571 + t^8.643/g1 + (2*t^8.714)/g1^2 + (2*t^8.786)/g1^3 + 2*g1^3*t^8.786 + t^8.857/g1^4 - g1^2*t^8.857 - 5*g1*t^8.929 - t^4.286/y - t^6.429/y - t^6.5/(g1*y) - t^6.857/y - (g1*t^7.214)/y + (2*t^7.357)/(g1*y) + (2*t^7.714)/y + t^7.786/(g1*y) + (3*g1*t^8.071)/y + (4*t^8.143)/y + t^8.214/(g1*y) + (2*g1*t^8.5)/y + t^8.571/y - t^8.714/(g1^2*y) + (g1^2*t^8.857)/y + (2*g1*t^8.929)/y - t^4.286*y - t^6.429*y - (t^6.5*y)/g1 - t^6.857*y - g1*t^7.214*y + (2*t^7.357*y)/g1 + 2*t^7.714*y + (t^7.786*y)/g1 + 3*g1*t^8.071*y + 4*t^8.143*y + (t^8.214*y)/g1 + 2*g1*t^8.5*y + t^8.571*y - (t^8.714*y)/g1^2 + g1^2*t^8.857*y + 2*g1*t^8.929*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 |
|---|---|---|---|---|---|---|---|---|
| 5865 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{2}M_{9}$ | 0.7147 | 0.8933 | 0.8001 | [M:[0.7143, 1.1429, 1.0, 0.9762, 0.7381, 1.0238, 0.8571, 0.9762, 0.8571], q:[0.6667, 0.619], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.143 + t^2.214 + 2*t^2.571 + 2*t^2.929 + t^3. + t^3.929 + t^4.214 + 2*t^4.286 + 2*t^4.357 + t^4.429 + 2*t^4.714 + 2*t^4.786 + t^5. + 2*t^5.071 + 7*t^5.143 + t^5.214 + t^5.286 + 4*t^5.5 + 2*t^5.571 + 2*t^5.857 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 7845/10976, c: 9805/10976, M1: 5/7, M2: 8/7, M3: 1, M4: 41/42, M5: 31/42, M6: 43/42, M7: 6/7, M8: 41/42, M9: 6/7, q1: 2/3, q2: 13/21, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
| 5864 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{4}M_{9}$ | 0.7015 | 0.8716 | 0.8048 | [M:[0.7143, 1.1429, 1.0, 1.0086, 0.7057, 0.9914, 0.8571, 1.0086, 0.9914], q:[0.6343, 0.6514], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.117 + t^2.143 + t^2.571 + t^2.974 + t^3. + t^3.026 + t^3.429 + t^3.831 + t^4.234 + 2*t^4.26 + 2*t^4.286 + t^4.311 + t^4.689 + t^4.714 + 2*t^5.091 + 2*t^5.117 + 4*t^5.143 + t^5.169 + t^5.194 + 2*t^5.546 + 2*t^5.571 + t^5.597 + t^5.949 - t^6. - t^4.286/y - t^4.286*y | detail | |
| 5862 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{9}$ | 0.6829 | 0.8371 | 0.8158 | [M:[0.7143, 1.1429, 1.0, 0.9616, 0.7527, 1.0384, 0.8571, 0.9616, 1.2473], q:[0.6812, 0.6045], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.143 + t^2.571 + 2*t^2.885 + t^3. + t^3.429 + t^3.742 + t^3.972 + t^4.171 + 2*t^4.286 + t^4.401 + t^4.714 + t^4.913 + 2*t^5.028 + 3*t^5.143 + t^5.373 + 2*t^5.456 + 2*t^5.571 + 2*t^5.77 + t^5.885 - 2*t^6. - t^4.286/y - t^4.286*y | detail | |
| 5863 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{7}M_{9}$ | 0.6896 | 0.8503 | 0.811 | [M:[0.7143, 1.1429, 1.0, 0.9762, 0.7381, 1.0238, 0.8571, 0.9762, 1.1429], q:[0.6667, 0.619], qb:[0.3571, 0.6429], phi:[0.4286]] | t^2.143 + t^2.214 + 2*t^2.929 + t^3. + 2*t^3.429 + t^3.929 + t^4.214 + 2*t^4.286 + 2*t^4.357 + t^4.429 + t^5. + 2*t^5.071 + 4*t^5.143 + t^5.214 + t^5.286 + 2*t^5.571 + 2*t^5.643 + 2*t^5.857 - 3*t^6. - t^4.286/y - t^4.286*y | detail | {a: 7569/10976, c: 9333/10976, M1: 5/7, M2: 8/7, M3: 1, M4: 41/42, M5: 31/42, M6: 43/42, M7: 6/7, M8: 41/42, M9: 8/7, q1: 2/3, q2: 13/21, qb1: 5/14, qb2: 9/14, phi1: 3/7} |
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2370 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$ | 0.7333 | 0.912 | 0.804 | [M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]] | t^2.026 + t^2.579 + t^2.595 + 2*t^2.984 + t^3. + t^3.21 + t^3.437 + t^4.052 + t^4.379 + t^4.395 + t^4.411 + t^4.605 + t^4.621 + t^4.784 + t^4.8 + 2*t^4.816 + t^4.831 + t^4.847 + 2*t^5.01 + t^5.026 + t^5.159 + t^5.175 + t^5.19 + t^5.236 + t^5.462 + t^5.563 + 2*t^5.579 + t^5.79 + t^5.806 + 2*t^5.968 - 3*t^6. - t^4.395/y - t^4.395*y | detail |