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 |
|---|---|---|---|---|---|---|---|---|---|
| 4667 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6821 | 0.8511 | 0.8014 | [M:[1.0, 0.7051, 0.8364, 0.8687, 1.1313, 0.8687, 0.8687, 1.1475], q:[0.6475, 0.3525], qb:[0.5161, 0.7788], phi:[0.4263]] | [M:[[0], [4], [9], [-5], [5], [-5], [-5], [-2]], q:[[-2], [2]], qb:[[-7], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.115 + t^2.509 + 3*t^2.606 + t^3. + t^3.442 + t^3.885 + t^4.23 + 2*t^4.279 + t^4.376 + t^4.624 + t^4.673 + 2*t^4.721 + t^4.77 + t^5.019 + 3*t^5.115 + 2*t^5.164 + 5*t^5.212 + 2*t^5.558 + t^5.606 + 2*t^5.952 - 3*t^6. + 3*t^6.048 + t^6.346 + t^6.442 + 2*t^6.491 + t^6.74 + t^6.788 + t^6.836 + 5*t^6.885 + 3*t^6.981 + t^7.134 + t^7.182 + 2*t^7.23 + 3*t^7.279 + 3*t^7.327 + 3*t^7.376 + t^7.528 + 2*t^7.624 + 2*t^7.673 + 4*t^7.721 + 4*t^7.77 + 7*t^7.818 + 2*t^8.067 - 4*t^8.115 + 4*t^8.164 + t^8.26 + 3*t^8.461 - 4*t^8.509 + 6*t^8.558 - 10*t^8.606 + 6*t^8.654 + t^8.751 + t^8.855 + 2*t^8.952 - t^4.279/y - t^6.394/y - t^6.788/y - (2*t^6.885)/y + t^7.624/y + (2*t^7.673)/y + (3*t^7.721)/y + t^7.77/y + (4*t^8.115)/y + t^8.164/y + (3*t^8.212)/y + t^8.558/y + (3*t^8.606)/y - t^8.903/y + t^8.952/y - t^4.279*y - t^6.394*y - t^6.788*y - 2*t^6.885*y + t^7.624*y + 2*t^7.673*y + 3*t^7.721*y + t^7.77*y + 4*t^8.115*y + t^8.164*y + 3*t^8.212*y + t^8.558*y + 3*t^8.606*y - t^8.903*y + t^8.952*y | g1^4*t^2.115 + g1^9*t^2.509 + (3*t^2.606)/g1^5 + t^3. + t^3.442/g1^2 + t^3.885/g1^4 + g1^8*t^4.23 + 2*g1*t^4.279 + t^4.376/g1^13 + g1^13*t^4.624 + g1^6*t^4.673 + (2*t^4.721)/g1 + t^4.77/g1^8 + g1^18*t^5.019 + 3*g1^4*t^5.115 + (2*t^5.164)/g1^3 + (5*t^5.212)/g1^10 + 2*g1^2*t^5.558 + t^5.606/g1^5 + 2*g1^7*t^5.952 - 3*t^6. + (3*t^6.048)/g1^7 + g1^12*t^6.346 + t^6.442/g1^2 + (2*t^6.491)/g1^9 + g1^17*t^6.74 + g1^10*t^6.788 + g1^3*t^6.836 + (5*t^6.885)/g1^4 + (3*t^6.981)/g1^18 + g1^22*t^7.134 + g1^15*t^7.182 + 2*g1^8*t^7.23 + 3*g1*t^7.279 + (3*t^7.327)/g1^6 + (3*t^7.376)/g1^13 + g1^27*t^7.528 + 2*g1^13*t^7.624 + 2*g1^6*t^7.673 + (4*t^7.721)/g1 + (4*t^7.77)/g1^8 + (7*t^7.818)/g1^15 + 2*g1^11*t^8.067 - 4*g1^4*t^8.115 + (4*t^8.164)/g1^3 + t^8.26/g1^17 + 3*g1^16*t^8.461 - 4*g1^9*t^8.509 + 6*g1^2*t^8.558 - (10*t^8.606)/g1^5 + (6*t^8.654)/g1^12 + t^8.751/g1^26 + g1^21*t^8.855 + 2*g1^7*t^8.952 - (g1*t^4.279)/y - (g1^5*t^6.394)/y - (g1^10*t^6.788)/y - (2*t^6.885)/(g1^4*y) + (g1^13*t^7.624)/y + (2*g1^6*t^7.673)/y + (3*t^7.721)/(g1*y) + t^7.77/(g1^8*y) + (4*g1^4*t^8.115)/y + t^8.164/(g1^3*y) + (3*t^8.212)/(g1^10*y) + (g1^2*t^8.558)/y + (3*t^8.606)/(g1^5*y) - (g1^14*t^8.903)/y + (g1^7*t^8.952)/y - g1*t^4.279*y - g1^5*t^6.394*y - g1^10*t^6.788*y - (2*t^6.885*y)/g1^4 + g1^13*t^7.624*y + 2*g1^6*t^7.673*y + (3*t^7.721*y)/g1 + (t^7.77*y)/g1^8 + 4*g1^4*t^8.115*y + (t^8.164*y)/g1^3 + (3*t^8.212*y)/g1^10 + g1^2*t^8.558*y + (3*t^8.606*y)/g1^5 - g1^14*t^8.903*y + g1^7*t^8.952*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 |
|---|---|---|---|---|---|---|---|---|
| 6199 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{2}M_{3}$ | 0.5916 | 0.7695 | 0.7688 | [M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.6923, 0.6923, 1.0769], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | 3*t^2.077 + t^2.538 + 2*t^3. + t^3.231 + 2*t^3.462 + t^3.923 + 5*t^4.154 + 2*t^4.385 + 2*t^4.615 + 2*t^4.846 + 5*t^5.077 + 4*t^5.308 + 5*t^5.538 + 2*t^5.769 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 5199/8788, c: 27049/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 9/13, M7: 9/13, M8: 14/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13} |
| 6201 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.6582 | 0.8318 | 0.7913 | [M:[1.0, 0.7778, 1.0, 0.7778, 1.2222, 0.7778, 0.7778, 1.1111], q:[0.6111, 0.3889], qb:[0.3889, 0.8333], phi:[0.4444]] | 4*t^2.333 + 2*t^3. + t^3.333 + 2*t^3.667 + 3*t^4.333 + 8*t^4.667 + 3*t^5. + 5*t^5.333 + 5*t^5.667 + 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 853/1296, c: 539/648, M1: 1, M2: 7/9, M3: 1, M4: 7/9, M5: 11/9, M6: 7/9, M7: 7/9, M8: 10/9, q1: 11/18, q2: 7/18, qb1: 7/18, qb2: 5/6, phi1: 4/9} |
| 6207 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{4}M_{9}$ | 0.6709 | 0.832 | 0.8064 | [M:[1.0, 0.6936, 0.8106, 0.883, 1.117, 0.883, 0.883, 1.1532, 1.117], q:[0.6532, 0.3468], qb:[0.5362, 0.7702], phi:[0.4234]] | t^2.081 + t^2.432 + 2*t^2.649 + t^3. + t^3.351 + t^3.46 + t^3.919 + t^4.162 + 2*t^4.27 + t^4.487 + t^4.513 + t^4.621 + t^4.73 + t^4.838 + t^4.864 + 2*t^5.081 + 2*t^5.189 + 2*t^5.298 + t^5.432 + 2*t^5.54 + t^5.783 + 2*t^5.891 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 6210 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.7025 | 0.89 | 0.7893 | [M:[1.0, 0.7029, 0.8316, 0.8713, 1.1287, 0.8713, 0.8713, 1.1485, 0.7029], q:[0.6485, 0.3515], qb:[0.5199, 0.7772], phi:[0.4257]] | 2*t^2.109 + t^2.495 + 3*t^2.614 + t^3. + t^3.446 + 3*t^4.218 + 2*t^4.277 + t^4.396 + 2*t^4.604 + t^4.663 + 5*t^4.723 + t^4.782 + t^4.989 + 4*t^5.109 + 2*t^5.168 + 5*t^5.228 + 3*t^5.554 + t^5.614 + 2*t^5.94 - 4*t^6. - t^4.277/y - t^4.277*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2587 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6951 | 0.8732 | 0.796 | [M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]] | t^2.103 + t^2.481 + t^2.551 + 3*t^2.622 + t^3. + t^3.897 + t^4.205 + 2*t^4.276 + t^4.416 + t^4.584 + 2*t^4.654 + 2*t^4.724 + t^4.795 + t^4.962 + t^5.032 + 4*t^5.103 + 5*t^5.173 + 5*t^5.243 + 2*t^5.551 + t^5.622 + t^5.93 - 3*t^6. - t^4.276/y - t^4.276*y | detail |