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 |
|---|---|---|---|---|---|---|---|---|---|
| 47144 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6296 | 0.8171 | 0.7705 | [M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | [M:[[0], [-8], [-5], [4], [-1]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | -2 | t^2.076 + t^2.215 + 2*t^2.354 + t^2.722 + t^2.861 + t^3. + t^3.139 + t^3.785 + t^3.924 + t^4.152 + t^4.291 + 3*t^4.43 + 2*t^4.57 + 6*t^4.709 + t^4.798 + 2*t^4.937 + 2*t^5.076 + 4*t^5.215 + 3*t^5.354 + t^5.443 + 2*t^5.494 + t^5.582 + 2*t^5.722 + 2*t^5.861 - 2*t^6. + 3*t^6.139 + t^6.228 + 2*t^6.278 + t^6.367 + 2*t^6.506 + 3*t^6.646 + 6*t^6.785 + t^6.874 + 4*t^6.924 + 2*t^7.013 + 9*t^7.063 + 3*t^7.152 + 5*t^7.291 + 4*t^7.43 + t^7.519 + 7*t^7.57 + 2*t^7.658 + 5*t^7.709 + 3*t^7.798 + 4*t^7.848 + 4*t^7.937 + t^8.076 + t^8.165 + 2*t^8.304 - 5*t^8.354 + 3*t^8.443 + 4*t^8.494 + 4*t^8.582 + 4*t^8.633 + t^8.722 + 2*t^8.861 + t^8.949 - t^4.43/y - t^6.506/y - t^6.646/y - t^7.152/y + t^7.291/y + (2*t^7.43)/y + (2*t^7.57)/y + (2*t^7.709)/y + t^7.798/y + (2*t^7.937)/y + (4*t^8.076)/y + (5*t^8.215)/y + (4*t^8.354)/y + (2*t^8.494)/y + (2*t^8.861)/y - t^4.43*y - t^6.506*y - t^6.646*y - t^7.152*y + t^7.291*y + 2*t^7.43*y + 2*t^7.57*y + 2*t^7.709*y + t^7.798*y + 2*t^7.937*y + 4*t^8.076*y + 5*t^8.215*y + 4*t^8.354*y + 2*t^8.494*y + 2*t^8.861*y | t^2.076/g1^5 + t^2.215/g1 + 2*g1^3*t^2.354 + t^2.722/g1^8 + t^2.861/g1^4 + t^3. + g1^4*t^3.139 + g1*t^3.785 + g1^5*t^3.924 + t^4.152/g1^10 + t^4.291/g1^6 + (3*t^4.43)/g1^2 + 2*g1^2*t^4.57 + 6*g1^6*t^4.709 + t^4.798/g1^13 + (2*t^4.937)/g1^9 + (2*t^5.076)/g1^5 + (4*t^5.215)/g1 + 3*g1^3*t^5.354 + t^5.443/g1^16 + 2*g1^7*t^5.494 + t^5.582/g1^12 + (2*t^5.722)/g1^8 + (2*t^5.861)/g1^4 - 2*t^6. + 3*g1^4*t^6.139 + t^6.228/g1^15 + 2*g1^8*t^6.278 + t^6.367/g1^11 + (2*t^6.506)/g1^7 + (3*t^6.646)/g1^3 + 6*g1*t^6.785 + t^6.874/g1^18 + 4*g1^5*t^6.924 + (2*t^7.013)/g1^14 + 9*g1^9*t^7.063 + (3*t^7.152)/g1^10 + (5*t^7.291)/g1^6 + (4*t^7.43)/g1^2 + t^7.519/g1^21 + 7*g1^2*t^7.57 + (2*t^7.658)/g1^17 + 5*g1^6*t^7.709 + (3*t^7.798)/g1^13 + 4*g1^10*t^7.848 + (4*t^7.937)/g1^9 + t^8.076/g1^5 + t^8.165/g1^24 + (2*t^8.304)/g1^20 - 5*g1^3*t^8.354 + (3*t^8.443)/g1^16 + 4*g1^7*t^8.494 + (4*t^8.582)/g1^12 + 4*g1^11*t^8.633 + t^8.722/g1^8 + (2*t^8.861)/g1^4 + t^8.949/g1^23 - t^4.43/(g1^2*y) - t^6.506/(g1^7*y) - t^6.646/(g1^3*y) - t^7.152/(g1^10*y) + t^7.291/(g1^6*y) + (2*t^7.43)/(g1^2*y) + (2*g1^2*t^7.57)/y + (2*g1^6*t^7.709)/y + t^7.798/(g1^13*y) + (2*t^7.937)/(g1^9*y) + (4*t^8.076)/(g1^5*y) + (5*t^8.215)/(g1*y) + (4*g1^3*t^8.354)/y + (2*g1^7*t^8.494)/y + (2*t^8.861)/(g1^4*y) - (t^4.43*y)/g1^2 - (t^6.506*y)/g1^7 - (t^6.646*y)/g1^3 - (t^7.152*y)/g1^10 + (t^7.291*y)/g1^6 + (2*t^7.43*y)/g1^2 + 2*g1^2*t^7.57*y + 2*g1^6*t^7.709*y + (t^7.798*y)/g1^13 + (2*t^7.937*y)/g1^9 + (4*t^8.076*y)/g1^5 + (5*t^8.215*y)/g1 + 4*g1^3*t^8.354*y + 2*g1^7*t^8.494*y + (2*t^8.861*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55515 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.5919 | 0.7794 | 0.7594 | [M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.077 + t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + 2*t^3.462 + t^3.692 + 6*t^4.154 + 2*t^4.385 + 3*t^4.615 + 3*t^4.846 + 4*t^5.077 + 4*t^5.308 + 4*t^5.538 + 5*t^5.769 - t^6. - t^4.615/y - t^4.615*y | detail | {a: 2601/4394, c: 27399/35152, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
| 55531 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6243 | 0.8105 | 0.7702 | [M:[1.0, 0.9796, 0.7372, 1.0102, 0.7474, 1.0204], q:[0.7526, 0.2474], qb:[0.5102, 0.5102], phi:[0.4949]] | t^2.212 + t^2.242 + 2*t^2.273 + t^2.969 + t^3. + t^3.031 + t^3.061 + t^3.758 + t^3.788 + t^4.423 + t^4.454 + 3*t^4.485 + 2*t^4.515 + 6*t^4.546 + t^5.181 + 4*t^5.242 + 4*t^5.273 + 3*t^5.304 + 2*t^5.334 + t^5.939 + t^5.969 - 2*t^6. - t^4.485/y - t^4.485*y | detail | |
| 55437 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.609 | 0.7775 | 0.7832 | [M:[1.0, 0.9148, 0.6967, 1.0426, 0.7393, 1.3033], q:[0.7607, 0.2393], qb:[0.5426, 0.5426], phi:[0.4787]] | t^2.218 + 2*t^2.346 + t^2.744 + t^2.872 + t^3. + t^3.128 + t^3.782 + 2*t^3.91 + t^4.436 + 2*t^4.564 + 6*t^4.692 + t^4.962 + t^5.09 + 3*t^5.218 + 3*t^5.346 + 2*t^5.474 + t^5.489 + t^5.617 + 2*t^5.744 + t^5.872 - 3*t^6. - t^4.436/y - t^4.436*y | detail | |
| 55666 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6347 | 0.8261 | 0.7683 | [M:[1.0, 0.8737, 0.6711, 1.0632, 0.7342, 0.9368], q:[0.7658, 0.2342], qb:[0.5632, 0.5632], phi:[0.4684]] | t^2.013 + t^2.203 + 2*t^2.392 + t^2.621 + 2*t^2.811 + t^3. + t^3.797 + t^3.987 + t^4.026 + t^4.216 + 3*t^4.405 + 2*t^4.595 + t^4.634 + 6*t^4.784 + 3*t^4.824 + 3*t^5.013 + 5*t^5.203 + t^5.242 + 2*t^5.392 + 2*t^5.432 + 4*t^5.621 + 2*t^5.811 - 3*t^6. - t^4.405/y - t^4.405*y | detail | |
| 55504 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.5855 | 0.7462 | 0.7846 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 0.7143], q:[0.7857, 0.2143], qb:[0.6429, 0.6429], phi:[0.4286]] | 2*t^2.143 + 3*t^2.571 + t^3. + t^3.429 + t^3.857 + 5*t^4.286 + 4*t^4.714 + 11*t^5.143 + 4*t^5.571 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 459/784, c: 585/784, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 5/7, q1: 11/14, q2: 3/14, qb1: 9/14, qb2: 9/14, phi1: 3/7} |
| 55542 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6101 | 0.7813 | 0.7809 | [M:[1.0, 0.9106, 0.6941, 1.0447, 0.7388, 1.2612], q:[0.7612, 0.2388], qb:[0.5447, 0.5447], phi:[0.4776]] | t^2.082 + 2*t^2.351 + t^2.732 + t^2.866 + t^3. + t^3.134 + 2*t^3.784 + t^3.918 + t^4.165 + 2*t^4.433 + 6*t^4.701 + t^4.814 + t^4.948 + t^5.082 + 3*t^5.216 + 2*t^5.351 + t^5.464 + 2*t^5.485 + t^5.598 + 2*t^5.732 + 3*t^5.866 - 3*t^6. - t^4.433/y - t^4.433*y | detail | |
| 55490 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6491 | 0.853 | 0.761 | [M:[1.0, 0.9038, 0.6899, 1.0481, 0.738, 0.738], q:[0.762, 0.238], qb:[0.5481, 0.5481], phi:[0.476]] | t^2.07 + 2*t^2.214 + 2*t^2.358 + t^2.711 + t^2.856 + t^3. + t^3.144 + t^3.93 + t^4.139 + 2*t^4.284 + 5*t^4.428 + 4*t^4.572 + 6*t^4.716 + t^4.781 + 3*t^4.925 + 3*t^5.07 + 5*t^5.214 + 4*t^5.358 + t^5.423 + 2*t^5.502 + t^5.567 + 2*t^5.711 + t^5.856 - 3*t^6. - t^4.428/y - t^4.428*y | detail | |
| 55472 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6503 | 0.8573 | 0.7586 | [M:[1.0, 0.9016, 0.6885, 1.0492, 0.7377, 0.6885], q:[0.7623, 0.2377], qb:[0.5492, 0.5492], phi:[0.4754]] | 2*t^2.066 + t^2.213 + 2*t^2.361 + t^2.705 + t^2.852 + t^3. + t^3.148 + t^3.787 + 3*t^4.131 + 2*t^4.279 + 5*t^4.426 + 2*t^4.574 + 6*t^4.721 + 2*t^4.77 + 3*t^4.918 + 3*t^5.066 + 5*t^5.213 + 3*t^5.361 + t^5.41 + 2*t^5.508 + t^5.557 + 2*t^5.705 + 3*t^5.852 - 3*t^6. - t^4.426/y - t^4.426*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46537 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6299 | 0.819 | 0.7691 | [M:[1.0, 0.9106, 0.6816, 1.0447, 0.7262], q:[0.7612, 0.2388], qb:[0.5573, 0.5321], phi:[0.4777]] | t^2.045 + t^2.179 + t^2.313 + t^2.388 + t^2.732 + t^2.866 + t^3. + t^3.134 + t^3.746 + t^3.88 + t^4.089 + t^4.223 + 2*t^4.357 + t^4.433 + t^4.491 + t^4.567 + 2*t^4.626 + 2*t^4.701 + 3*t^4.777 + 2*t^4.911 + 2*t^5.045 + 3*t^5.179 + t^5.254 + 2*t^5.313 + t^5.388 + t^5.447 + t^5.464 + t^5.522 + t^5.598 + 2*t^5.732 + t^5.79 + t^5.866 + t^5.924 - 2*t^6. - t^4.433/y - t^4.433*y | detail |