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 |
|---|---|---|---|---|---|---|---|---|---|
| 56000 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7115 | 0.8866 | 0.8025 | [M:[0.9742, 1.0862, 1.0258, 0.7414, 0.8534, 0.8017], q:[0.3707, 0.6552], qb:[0.5431, 0.6035], phi:[0.4569]] | [M:[[11], [2], [-11], [-6], [-15], [7]], q:[[-3], [-8]], qb:[[1], [14]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. + t^6.155 + 2*t^6.336 + t^6.517 + 3*t^6.672 + 3*t^6.853 + 2*t^7.008 + 3*t^7.035 + 5*t^7.19 + 3*t^7.216 + t^7.345 + 4*t^7.371 + t^7.397 + 4*t^7.526 + 3*t^7.552 + t^7.681 + 5*t^7.707 + 2*t^7.733 + 2*t^7.862 + 2*t^7.888 + t^7.914 + 5*t^8.043 + t^8.069 + t^8.198 + 3*t^8.379 - 2*t^8.405 + t^8.56 + t^8.715 - t^8.741 + 4*t^8.896 - 2*t^8.923 - t^4.371/y - t^6.595/y - t^6.776/y - t^6.931/y + t^7.629/y + t^7.784/y + t^7.81/y + (3*t^7.965)/y + (3*t^8.147)/y + (2*t^8.302)/y + t^8.328/y + (3*t^8.483)/y + t^8.638/y + (2*t^8.664)/y + (2*t^8.819)/y - t^4.371*y - t^6.595*y - t^6.776*y - t^6.931*y + t^7.629*y + t^7.784*y + t^7.81*y + 3*t^7.965*y + 3*t^8.147*y + 2*t^8.302*y + t^8.328*y + 3*t^8.483*y + t^8.638*y + 2*t^8.664*y + 2*t^8.819*y | t^2.224/g1^6 + g1^7*t^2.405 + t^2.56/g1^15 + t^2.741/g1^2 + g1^11*t^2.923 + t^3.077/g1^11 + g1^2*t^3.259 + t^3.595/g1^7 + t^4.112/g1^3 + g1^10*t^4.293 + (2*t^4.448)/g1^12 + 2*g1*t^4.629 + t^4.784/g1^21 + 2*g1^14*t^4.81 + (3*t^4.965)/g1^8 + g1^27*t^4.992 + t^5.12/g1^30 + 2*g1^5*t^5.147 + (2*t^5.302)/g1^17 + g1^18*t^5.328 + (3*t^5.483)/g1^4 + t^5.638/g1^26 + g1^9*t^5.664 + (2*t^5.819)/g1^13 - t^6. + t^6.155/g1^22 + (2*t^6.336)/g1^9 + g1^4*t^6.517 + (3*t^6.672)/g1^18 + (3*t^6.853)/g1^5 + (2*t^7.008)/g1^27 + 3*g1^8*t^7.035 + (5*t^7.19)/g1^14 + 3*g1^21*t^7.216 + t^7.345/g1^36 + (4*t^7.371)/g1 + g1^34*t^7.397 + (4*t^7.526)/g1^23 + 3*g1^12*t^7.552 + t^7.681/g1^45 + (5*t^7.707)/g1^10 + 2*g1^25*t^7.733 + (2*t^7.862)/g1^32 + 2*g1^3*t^7.888 + g1^38*t^7.914 + (5*t^8.043)/g1^19 + g1^16*t^8.069 + t^8.198/g1^41 + (3*t^8.379)/g1^28 - 2*g1^7*t^8.405 + t^8.56/g1^15 + t^8.715/g1^37 - t^8.741/g1^2 + (4*t^8.896)/g1^24 - 2*g1^11*t^8.923 - t^4.371/(g1*y) - t^6.595/(g1^7*y) - (g1^6*t^6.776)/y - t^6.931/(g1^16*y) + (g1*t^7.629)/y + t^7.784/(g1^21*y) + (g1^14*t^7.81)/y + (3*t^7.965)/(g1^8*y) + (3*g1^5*t^8.147)/y + (2*t^8.302)/(g1^17*y) + (g1^18*t^8.328)/y + (3*t^8.483)/(g1^4*y) + t^8.638/(g1^26*y) + (2*g1^9*t^8.664)/y + (2*t^8.819)/(g1^13*y) - (t^4.371*y)/g1 - (t^6.595*y)/g1^7 - g1^6*t^6.776*y - (t^6.931*y)/g1^16 + g1*t^7.629*y + (t^7.784*y)/g1^21 + g1^14*t^7.81*y + (3*t^7.965*y)/g1^8 + 3*g1^5*t^8.147*y + (2*t^8.302*y)/g1^17 + g1^18*t^8.328*y + (3*t^8.483*y)/g1^4 + (t^8.638*y)/g1^26 + 2*g1^9*t^8.664*y + (2*t^8.819*y)/g1^13 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57858 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ | 0.7066 | 0.8797 | 0.8033 | [M:[0.9231, 1.0769, 1.0769, 0.7692, 0.9231, 0.7692], q:[0.3846, 0.6923], qb:[0.5385, 0.5385], phi:[0.4615]] | 2*t^2.308 + 3*t^2.769 + 2*t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 7*t^5.077 + 7*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 3105/4394, c: 7731/8788, M1: 12/13, M2: 14/13, M3: 14/13, M4: 10/13, M5: 12/13, M6: 10/13, q1: 5/13, q2: 9/13, qb1: 7/13, qb2: 7/13, phi1: 6/13} |
| 57872 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.7151 | 0.8924 | 0.8013 | [M:[0.9495, 1.0817, 1.0505, 0.7548, 0.887, 0.7861, 0.9495], q:[0.3774, 0.6731], qb:[0.5409, 0.5721], phi:[0.4591]] | t^2.264 + t^2.358 + t^2.661 + t^2.755 + 2*t^2.849 + t^3.245 + t^3.642 + t^4.132 + t^4.226 + 2*t^4.529 + 2*t^4.623 + 2*t^4.716 + t^4.81 + t^4.926 + 3*t^5.019 + 3*t^5.113 + 2*t^5.207 + t^5.322 + t^5.416 + 3*t^5.51 + 2*t^5.603 + 2*t^5.697 + t^5.906 - 2*t^6. - t^4.377/y - t^4.377*y | detail | |
| 57848 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}X_{1}$ | 0.605 | 0.7509 | 0.8058 | [X:[1.3333], M:[0.7619, 1.0476, 1.2381, 0.8571, 1.1429, 0.6667], q:[0.4286, 0.8095], qb:[0.5238, 0.3333], phi:[0.4762]] | t^2.286 + t^2.571 + t^2.857 + t^3.143 + 2*t^3.429 + 2*t^3.714 + 3*t^4. + t^4.286 + t^4.571 + t^4.857 + 2*t^5.143 + 2*t^5.429 + 2*t^5.714 - t^4.429/y - t^4.429*y | detail | {a: 1423/2352, c: 883/1176, X1: 4/3, M1: 16/21, M2: 22/21, M3: 26/21, M4: 6/7, M5: 8/7, M6: 2/3, q1: 3/7, q2: 17/21, qb1: 11/21, qb2: 1/3, phi1: 10/21} |
| 57865 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{7}$ | 0.6922 | 0.8511 | 0.8133 | [M:[0.9685, 1.0852, 1.0315, 0.7445, 0.8612, 0.7981, 1.2555], q:[0.3722, 0.6593], qb:[0.5426, 0.5962], phi:[0.4574]] | t^2.394 + t^2.584 + t^2.744 + t^2.905 + t^3.095 + t^3.256 + t^3.606 + t^3.767 + t^4.117 + t^4.278 + t^4.467 + t^4.628 + 2*t^4.789 + t^4.95 + 2*t^4.978 + t^5.139 + t^5.167 + t^5.3 + t^5.328 + 2*t^5.489 + t^5.65 + t^5.678 + t^5.839 - t^6. - t^4.372/y - t^4.372*y | detail | |
| 57868 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.7003 | 0.8676 | 0.8071 | [M:[0.9432, 1.0806, 1.0568, 0.7583, 0.8957, 0.782, 1.1043], q:[0.3791, 0.6777], qb:[0.5403, 0.564], phi:[0.4597]] | t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. - t^4.379/y - t^4.379*y | detail | |
| 57853 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ | 0.6898 | 0.8607 | 0.8015 | [M:[0.8667, 1.0667, 1.1333, 0.8, 1.0, 0.7333], q:[0.4, 0.7333], qb:[0.5333, 0.4667], phi:[0.4667]] | t^2.2 + t^2.4 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + 2*t^4.6 + 3*t^4.8 + 2*t^5. + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + 2*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 4139/6000, c: 1291/1500, M1: 13/15, M2: 16/15, M3: 17/15, M4: 4/5, M5: 1, M6: 11/15, q1: 2/5, q2: 11/15, qb1: 8/15, qb2: 7/15, phi1: 7/15} |
| 57867 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}M_{7}$ | 0.6953 | 0.8589 | 0.8095 | [M:[0.985, 1.0882, 1.015, 0.7354, 0.8386, 0.8086, 1.1914], q:[0.3677, 0.6473], qb:[0.5441, 0.6173], phi:[0.4559]] | t^2.206 + t^2.516 + t^2.735 + t^2.955 + t^3.045 + t^3.265 + 2*t^3.574 + t^4.103 + t^4.323 + 2*t^4.413 + t^4.632 + t^4.722 + t^4.852 + 2*t^4.942 + t^5.032 + t^5.071 + t^5.161 + 2*t^5.251 + 2*t^5.471 + t^5.561 + 3*t^5.78 - 2*t^6. - t^4.368/y - t^4.368*y | detail | |
| 57870 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7036 | 0.8732 | 0.8058 | [M:[0.9699, 1.0854, 1.0301, 0.7437, 0.8593, 0.799, 1.0854], q:[0.3719, 0.6583], qb:[0.5427, 0.598], phi:[0.4573]] | t^2.231 + t^2.397 + t^2.578 + t^2.91 + t^3.09 + 2*t^3.256 + t^3.603 + t^4.116 + t^4.281 + 2*t^4.462 + 2*t^4.628 + 2*t^4.794 + t^4.809 + t^4.96 + 2*t^4.975 + t^5.141 + t^5.156 + t^5.307 + t^5.322 + 3*t^5.487 + t^5.653 + t^5.668 + 2*t^5.834 - 2*t^6. - t^4.372/y - t^4.372*y | detail | |
| 57873 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.7281 | 0.9156 | 0.7952 | [M:[0.9641, 1.0844, 1.0359, 0.7468, 0.8671, 0.7954, 0.7954], q:[0.3734, 0.6624], qb:[0.5422, 0.5907], phi:[0.4578]] | t^2.241 + 2*t^2.386 + t^2.601 + t^2.747 + t^2.892 + t^3.108 + t^3.253 + t^4.12 + t^4.266 + 2*t^4.481 + 3*t^4.627 + 4*t^4.772 + t^4.842 + t^4.918 + 4*t^4.987 + 3*t^5.133 + t^5.203 + 2*t^5.278 + 2*t^5.348 + 4*t^5.494 + 2*t^5.639 + t^5.709 + t^5.854 - 2*t^6. - t^4.373/y - t^4.373*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48297 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.7303 | 0.9135 | 0.7995 | [M:[1.0279, 1.0484, 0.9721, 0.8548, 0.8753, 0.6693], q:[0.4274, 0.5446], qb:[0.5242, 0.6005], phi:[0.4758]] | t^2.008 + t^2.565 + t^2.626 + t^2.855 + t^2.916 + t^3.084 + t^3.145 + t^3.206 + t^4.016 + t^4.282 + t^4.344 + t^4.511 + 2*t^4.573 + 2*t^4.634 + t^4.695 + t^4.802 + 2*t^4.863 + t^4.924 + t^5.031 + t^5.092 + t^5.129 + t^5.153 + t^5.19 + t^5.215 + t^5.252 + t^5.419 + t^5.481 + t^5.542 + 2*t^5.71 + 2*t^5.771 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |