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 |
|---|---|---|---|---|---|---|---|---|---|
| 50984 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6866 | 0.8604 | 0.798 | [M:[1.1704, 0.9776, 0.8296, 0.7803, 0.9283, 0.7309], q:[0.3901, 0.4395], qb:[0.6323, 0.7803], phi:[0.4395]] | [M:[[3], [-18], [-3], [2], [-13], [7]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$ | ${}$ | -1 | t^2.193 + t^2.341 + t^2.489 + t^2.637 + t^2.785 + t^2.933 + t^3.511 + t^3.659 + t^3.955 + t^4.238 + 2*t^4.386 + 2*t^4.534 + 2*t^4.682 + 2*t^4.83 + 3*t^4.978 + t^5.112 + 3*t^5.126 + 2*t^5.274 + t^5.422 + 2*t^5.57 + t^5.704 + t^5.718 + t^5.852 + t^5.866 - t^6. + t^6.148 + 2*t^6.296 + t^6.43 + 2*t^6.444 + 2*t^6.578 + t^6.592 + 2*t^6.726 + 3*t^6.874 + t^6.888 + 4*t^7.022 + 5*t^7.17 + t^7.305 + 4*t^7.318 + t^7.453 + 5*t^7.466 + 4*t^7.614 + t^7.749 + 4*t^7.762 + t^7.897 + 5*t^7.91 + t^8.045 + 3*t^8.058 - 2*t^8.193 + 3*t^8.206 - 2*t^8.341 + 2*t^8.354 + 2*t^8.502 + 2*t^8.623 + t^8.65 + 3*t^8.771 - t^8.785 + t^8.798 + t^8.919 - t^8.933 - t^4.318/y - t^6.511/y - t^6.659/y - t^6.955/y - t^7.103/y - t^7.251/y + t^7.386/y + (2*t^7.534)/y + (2*t^7.682)/y + (2*t^7.83)/y + (3*t^7.978)/y + (4*t^8.126)/y + (2*t^8.274)/y + (2*t^8.422)/y + t^8.57/y + t^8.718/y + t^8.852/y - t^4.318*y - t^6.511*y - t^6.659*y - t^6.955*y - t^7.103*y - t^7.251*y + t^7.386*y + 2*t^7.534*y + 2*t^7.682*y + 2*t^7.83*y + 3*t^7.978*y + 4*t^8.126*y + 2*t^8.274*y + 2*t^8.422*y + t^8.57*y + t^8.718*y + t^8.852*y | g1^7*t^2.193 + g1^2*t^2.341 + t^2.489/g1^3 + t^2.637/g1^8 + t^2.785/g1^13 + t^2.933/g1^18 + g1^3*t^3.511 + t^3.659/g1^2 + t^3.955/g1^12 + g1^19*t^4.238 + 2*g1^14*t^4.386 + 2*g1^9*t^4.534 + 2*g1^4*t^4.682 + (2*t^4.83)/g1 + (3*t^4.978)/g1^6 + g1^30*t^5.112 + (3*t^5.126)/g1^11 + (2*t^5.274)/g1^16 + t^5.422/g1^21 + (2*t^5.57)/g1^26 + g1^10*t^5.704 + t^5.718/g1^31 + g1^5*t^5.852 + t^5.866/g1^36 - t^6. + t^6.148/g1^5 + (2*t^6.296)/g1^10 + g1^26*t^6.43 + (2*t^6.444)/g1^15 + 2*g1^21*t^6.578 + t^6.592/g1^20 + 2*g1^16*t^6.726 + 3*g1^11*t^6.874 + t^6.888/g1^30 + 4*g1^6*t^7.022 + 5*g1*t^7.17 + g1^37*t^7.305 + (4*t^7.318)/g1^4 + g1^32*t^7.453 + (5*t^7.466)/g1^9 + (4*t^7.614)/g1^14 + g1^22*t^7.749 + (4*t^7.762)/g1^19 + g1^17*t^7.897 + (5*t^7.91)/g1^24 + g1^12*t^8.045 + (3*t^8.058)/g1^29 - 2*g1^7*t^8.193 + (3*t^8.206)/g1^34 - 2*g1^2*t^8.341 + (2*t^8.354)/g1^39 + (2*t^8.502)/g1^44 + 2*g1^33*t^8.623 + t^8.65/g1^49 + 3*g1^28*t^8.771 - t^8.785/g1^13 + t^8.798/g1^54 + g1^23*t^8.919 - t^8.933/g1^18 - t^4.318/(g1^4*y) - (g1^3*t^6.511)/y - t^6.659/(g1^2*y) - t^6.955/(g1^12*y) - t^7.103/(g1^17*y) - t^7.251/(g1^22*y) + (g1^14*t^7.386)/y + (2*g1^9*t^7.534)/y + (2*g1^4*t^7.682)/y + (2*t^7.83)/(g1*y) + (3*t^7.978)/(g1^6*y) + (4*t^8.126)/(g1^11*y) + (2*t^8.274)/(g1^16*y) + (2*t^8.422)/(g1^21*y) + t^8.57/(g1^26*y) + t^8.718/(g1^31*y) + (g1^5*t^8.852)/y - (t^4.318*y)/g1^4 - g1^3*t^6.511*y - (t^6.659*y)/g1^2 - (t^6.955*y)/g1^12 - (t^7.103*y)/g1^17 - (t^7.251*y)/g1^22 + g1^14*t^7.386*y + 2*g1^9*t^7.534*y + 2*g1^4*t^7.682*y + (2*t^7.83*y)/g1 + (3*t^7.978*y)/g1^6 + (4*t^8.126*y)/g1^11 + (2*t^8.274*y)/g1^16 + (2*t^8.422*y)/g1^21 + (t^8.57*y)/g1^26 + (t^8.718*y)/g1^31 + g1^5*t^8.852*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 |
|---|---|---|---|---|---|---|---|---|
| 56204 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.7013 | 0.8858 | 0.7917 | [M:[1.1717, 0.9701, 0.8283, 0.7811, 0.9228, 0.7339, 0.8283], q:[0.3906, 0.4378], qb:[0.6394, 0.7811], phi:[0.4378]] | t^2.202 + t^2.343 + 2*t^2.485 + t^2.627 + t^2.768 + t^2.91 + t^3.657 + t^3.94 + t^4.261 + 2*t^4.403 + 2*t^4.545 + 3*t^4.687 + 3*t^4.828 + 5*t^4.97 + 4*t^5.112 + t^5.15 + 3*t^5.254 + 2*t^5.395 + 2*t^5.537 + t^5.679 + t^5.82 - 2*t^6. - t^4.313/y - t^4.313*y | detail | |
| 56199 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}M_{5}$ | 0.6843 | 0.8577 | 0.7979 | [M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677, 0.7097], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | 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 - t^4.355/y - t^4.355*y | detail | {a: 163095/238328, c: 102209/119164, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, M6: 22/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
| 56203 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}M_{7}$ | 0.6874 | 0.8631 | 0.7964 | [M:[1.1604, 1.0375, 0.8396, 0.7736, 0.9715, 0.7077, 0.9625], q:[0.3868, 0.4528], qb:[0.5757, 0.7736], phi:[0.4528]] | t^2.123 + t^2.321 + t^2.519 + t^2.717 + t^2.888 + t^2.914 + t^3.481 + t^3.679 + t^4.048 + t^4.075 + 2*t^4.246 + 2*t^4.444 + 2*t^4.642 + t^4.813 + 2*t^4.84 + t^5.011 + 3*t^5.037 + t^5.208 + 2*t^5.235 + t^5.406 + t^5.433 + 2*t^5.604 + t^5.775 + 2*t^5.802 + t^5.829 - t^6. - t^4.358/y - t^4.358*y | detail | |
| 56200 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}^{2}$ | 0.6862 | 0.8599 | 0.7981 | [M:[1.1667, 1.0, 0.8333, 0.7778, 0.9444, 0.7222], q:[0.3889, 0.4444], qb:[0.6111, 0.7778], phi:[0.4444]] | t^2.167 + t^2.333 + t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.5 + t^3.667 + t^4. + t^4.167 + 2*t^4.333 + 2*t^4.5 + 2*t^4.667 + 2*t^4.833 + 4*t^5. + 3*t^5.167 + 2*t^5.333 + t^5.5 + 3*t^5.667 + 2*t^5.833 - t^4.333/y - t^4.333*y | detail | {a: 7115/10368, c: 8915/10368, M1: 7/6, M2: 1, M3: 5/6, M4: 7/9, M5: 17/18, M6: 13/18, q1: 7/18, q2: 4/9, qb1: 11/18, qb2: 7/9, phi1: 4/9} |
| 56201 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{4}M_{7}$ | 0.669 | 0.8291 | 0.8069 | [M:[1.171, 0.9737, 0.829, 0.7807, 0.9255, 0.7324, 1.2193], q:[0.3903, 0.4386], qb:[0.6359, 0.7807], phi:[0.4386]] | t^2.197 + t^2.487 + t^2.632 + t^2.776 + t^2.921 + t^3.513 + 2*t^3.658 + t^3.947 + t^4.25 + 2*t^4.395 + t^4.539 + t^4.684 + t^4.829 + 2*t^4.974 + 2*t^5.118 + t^5.131 + t^5.263 + t^5.408 + 2*t^5.553 + t^5.698 + t^5.71 + t^5.842 + t^5.855 - 2*t^6. - t^4.316/y - t^4.316*y | detail | |
| 56205 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7043 | 0.8918 | 0.7897 | [M:[1.1698, 0.9814, 0.8302, 0.7798, 0.931, 0.7294, 0.7798], q:[0.3899, 0.4403], qb:[0.6287, 0.7798], phi:[0.4403]] | t^2.188 + 2*t^2.34 + t^2.491 + t^2.642 + t^2.793 + t^2.944 + t^3.509 + t^3.963 + t^4.225 + 2*t^4.377 + 3*t^4.528 + 4*t^4.679 + 3*t^4.83 + 4*t^4.981 + t^5.093 + 4*t^5.133 + 3*t^5.284 + t^5.435 + 2*t^5.586 + t^5.698 + t^5.737 + t^5.849 + t^5.889 - 2*t^6. - t^4.321/y - t^4.321*y | detail | |
| 56206 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7074 | 0.9012 | 0.785 | [M:[1.1699, 0.9807, 0.8301, 0.7799, 0.9305, 0.7297, 0.6795], q:[0.39, 0.4402], qb:[0.6294, 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 | |
| 56202 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6762 | 0.8429 | 0.8022 | [M:[1.1664, 1.0017, 0.8336, 0.7776, 0.9457, 0.7215, 1.1103], q:[0.3888, 0.4448], qb:[0.6095, 0.7776], phi:[0.4448]] | t^2.165 + t^2.333 + t^2.501 + t^2.837 + t^3.005 + t^3.331 + t^3.499 + t^3.667 + t^4.003 + t^4.161 + 2*t^4.329 + 2*t^4.497 + 2*t^4.666 + t^4.834 + t^4.991 + 2*t^5.002 + 2*t^5.17 + t^5.338 + t^5.496 + 2*t^5.664 + t^5.674 + 2*t^5.832 + t^5.842 - t^6. - t^4.334/y - t^4.334*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46948 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6669 | 0.8242 | 0.8092 | [M:[1.1719, 0.9689, 0.8281, 0.7812, 0.922], q:[0.3906, 0.4375], qb:[0.6405, 0.7812], phi:[0.4375]] | t^2.344 + t^2.484 + t^2.625 + t^2.766 + t^2.907 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.265 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + 2*t^4.969 + 2*t^5.11 + t^5.156 + 2*t^5.25 + t^5.391 + 2*t^5.532 + t^5.673 + t^5.813 - t^6. - t^4.313/y - t^4.313*y | detail |