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 |
|---|---|---|---|---|---|---|---|---|---|
| 47041 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6779 | 0.8482 | 0.7993 | [M:[1.1823, 0.9951, 0.8177, 0.8177, 0.7291], q:[0.4089, 0.4089], qb:[0.596, 0.7734], phi:[0.4532]] | [M:[[2], [-22], [-2], [-2], [8]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 | {a: 93927043/138556848, c: 58758829/69278424, M1: 6026/5097, M2: 5072/5097, M3: 4168/5097, M4: 4168/5097, M5: 3716/5097, q1: 2084/5097, q2: 2084/5097, qb1: 3038/5097, qb2: 1314/1699, phi1: 770/1699} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0 | t^2.187 + 2*t^2.453 + t^2.719 + t^2.985 + t^3.015 + t^3.547 + 2*t^3.813 + t^4.108 + 3*t^4.374 + 2*t^4.64 + 4*t^4.906 + t^4.936 + 3*t^5.172 + t^5.202 + t^5.438 + 2*t^5.468 + t^5.705 + 2*t^5.734 + t^5.971 + t^6.029 + 3*t^6.266 + t^6.295 + 2*t^6.532 + 3*t^6.562 + 6*t^6.828 + 3*t^7.094 + 2*t^7.123 + 5*t^7.36 + 4*t^7.389 + 6*t^7.626 + 2*t^7.655 + 2*t^7.892 + 4*t^7.921 + t^7.951 + 2*t^8.158 + 2*t^8.187 + t^8.217 + 2*t^8.424 - 3*t^8.453 + 4*t^8.483 + t^8.69 + 2*t^8.719 + 5*t^8.749 + t^8.956 - t^4.36/y - t^6.547/y - t^6.813/y - t^7.079/y - t^7.345/y + t^7.374/y + (3*t^7.64)/y + (3*t^7.906)/y + (4*t^8.172)/y + t^8.202/y + (2*t^8.438)/y + (2*t^8.468)/y + t^8.705/y + t^8.734/y - t^4.36*y - t^6.547*y - t^6.813*y - t^7.079*y - t^7.345*y + t^7.374*y + 3*t^7.64*y + 3*t^7.906*y + 4*t^8.172*y + t^8.202*y + 2*t^8.438*y + 2*t^8.468*y + t^8.705*y + t^8.734*y | g1^8*t^2.187 + (2*t^2.453)/g1^2 + t^2.719/g1^12 + t^2.985/g1^22 + g1^22*t^3.015 + g1^2*t^3.547 + (2*t^3.813)/g1^8 + g1^26*t^4.108 + 3*g1^16*t^4.374 + 2*g1^6*t^4.64 + (4*t^4.906)/g1^4 + g1^40*t^4.936 + (3*t^5.172)/g1^14 + g1^30*t^5.202 + t^5.438/g1^24 + 2*g1^20*t^5.468 + t^5.705/g1^34 + 2*g1^10*t^5.734 + t^5.971/g1^44 + g1^44*t^6.029 + (3*t^6.266)/g1^10 + g1^34*t^6.295 + (2*t^6.532)/g1^20 + 3*g1^24*t^6.562 + 6*g1^14*t^6.828 + 3*g1^4*t^7.094 + 2*g1^48*t^7.123 + (5*t^7.36)/g1^6 + 4*g1^38*t^7.389 + (6*t^7.626)/g1^16 + 2*g1^28*t^7.655 + (2*t^7.892)/g1^26 + 4*g1^18*t^7.921 + g1^62*t^7.951 + (2*t^8.158)/g1^36 + 2*g1^8*t^8.187 + g1^52*t^8.217 + (2*t^8.424)/g1^46 - (3*t^8.453)/g1^2 + 4*g1^42*t^8.483 + t^8.69/g1^56 + (2*t^8.719)/g1^12 + 5*g1^32*t^8.749 + t^8.956/g1^66 - t^4.36/(g1^6*y) - (g1^2*t^6.547)/y - t^6.813/(g1^8*y) - t^7.079/(g1^18*y) - t^7.345/(g1^28*y) + (g1^16*t^7.374)/y + (3*g1^6*t^7.64)/y + (3*t^7.906)/(g1^4*y) + (4*t^8.172)/(g1^14*y) + (g1^30*t^8.202)/y + (2*t^8.438)/(g1^24*y) + (2*g1^20*t^8.468)/y + t^8.705/(g1^34*y) + (g1^10*t^8.734)/y - (t^4.36*y)/g1^6 - g1^2*t^6.547*y - (t^6.813*y)/g1^8 - (t^7.079*y)/g1^18 - (t^7.345*y)/g1^28 + g1^16*t^7.374*y + 3*g1^6*t^7.64*y + (3*t^7.906*y)/g1^4 + (4*t^8.172*y)/g1^14 + g1^30*t^8.202*y + (2*t^8.438*y)/g1^24 + 2*g1^20*t^8.468*y + (t^8.705*y)/g1^34 + g1^10*t^8.734*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 |
|---|---|---|---|---|---|---|---|---|
| 55339 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{1}M_{6}$ | 0.6933 | 0.8748 | 0.7925 | [M:[1.1826, 0.9918, 0.8174, 0.8174, 0.7303, 0.8174], q:[0.4087, 0.4087], qb:[0.5995, 0.7739], phi:[0.4523]] | t^2.191 + 3*t^2.452 + t^2.714 + t^2.975 + t^3.025 + 2*t^3.809 + t^4.12 + 3*t^4.382 + 3*t^4.643 + 7*t^4.905 + t^4.954 + 4*t^5.166 + t^5.216 + 2*t^5.428 + 3*t^5.477 + t^5.689 + t^5.739 + t^5.951 - 2*t^6. - t^4.357/y - t^4.357*y | detail | {a: 444199/640712, c: 70064/80089, M1: 1004/849, M2: 842/849, M3: 694/849, M4: 694/849, M5: 620/849, M6: 694/849, q1: 347/849, q2: 347/849, qb1: 509/849, qb2: 219/283, phi1: 128/283} |
| 52057 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6625 | 0.8215 | 0.8064 | [M:[1.182, 0.9984, 0.818, 0.818, 0.7278, 1.182], q:[0.409, 0.409], qb:[0.5925, 0.7729], phi:[0.4541]] | t^2.184 + t^2.454 + t^2.725 + t^2.995 + t^3.005 + 2*t^3.546 + 2*t^3.816 + t^4.096 + 3*t^4.367 + t^4.638 + 2*t^4.908 + t^4.918 + 2*t^5.179 + t^5.188 + t^5.459 + t^5.72 + 3*t^5.729 + t^5.991 - t^4.362/y - t^4.362*y | detail | {a: 5744057/8670000, c: 7122757/8670000, M1: 1507/1275, M2: 1273/1275, M3: 1043/1275, M4: 1043/1275, M5: 928/1275, M6: 1507/1275, q1: 1043/2550, q2: 1043/2550, qb1: 1511/2550, qb2: 657/850, phi1: 193/425} |
| 55125 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}M_{6}$ | 0.6581 | 0.8113 | 0.8112 | [M:[1.1829, 0.9884, 0.8171, 0.8171, 0.7315, 1.2685], q:[0.4086, 0.4086], qb:[0.6031, 0.7743], phi:[0.4514]] | 2*t^2.451 + t^2.708 + t^2.965 + t^3.035 + t^3.549 + 3*t^3.806 + t^4.132 + 2*t^4.389 + 3*t^4.903 + t^4.972 + 2*t^5.16 + t^5.417 + 2*t^5.486 + t^5.673 + t^5.743 + t^5.93 - 2*t^6. - t^4.354/y - t^4.354*y | detail | {a: 781921/1188100, c: 963951/1188100, M1: 1934/1635, M2: 1616/1635, M3: 1336/1635, M4: 1336/1635, M5: 1196/1635, M6: 2074/1635, q1: 668/1635, q2: 668/1635, qb1: 986/1635, qb2: 422/545, phi1: 246/545} |
| 54902 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6977 | 0.8853 | 0.7881 | [M:[1.1817, 1.0013, 0.8183, 0.8183, 0.7268, 0.7268], q:[0.4092, 0.4092], qb:[0.5895, 0.7725], phi:[0.4549]] | 2*t^2.18 + 2*t^2.455 + t^2.729 + t^2.996 + t^3.004 + t^3.545 + t^3.82 + t^4.086 + 5*t^4.361 + 4*t^4.635 + t^4.902 + 5*t^4.91 + 2*t^5.176 + 4*t^5.184 + 2*t^5.451 + t^5.459 + 3*t^5.725 + t^5.733 + t^5.992 - t^4.365/y - t^4.365*y | detail | {a: 52048525/74596056, c: 8255182/9324507, M1: 6250/5289, M2: 5296/5289, M3: 4328/5289, M4: 4328/5289, M5: 3844/5289, M6: 3844/5289, q1: 2164/5289, q2: 2164/5289, qb1: 3118/5289, qb2: 1362/1763, phi1: 802/1763} |
| 55133 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.67 | 0.8364 | 0.8011 | [M:[1.1799, 1.0216, 0.8201, 0.8201, 0.7194, 1.0791], q:[0.4101, 0.4101], qb:[0.5683, 0.7698], phi:[0.4604]] | t^2.158 + 2*t^2.46 + t^2.935 + t^3.065 + t^3.237 + t^3.54 + 2*t^3.842 + t^4.014 + 3*t^4.316 + 2*t^4.619 + t^4.791 + 3*t^4.921 + t^5.093 + t^5.223 + 3*t^5.396 + 3*t^5.698 + t^5.87 - t^4.381/y - t^4.381*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6816 | 0.8525 | 0.7995 | [M:[1.159, 1.0231, 0.841, 0.765, 0.712], q:[0.3825, 0.4585], qb:[0.5944, 0.7765], phi:[0.447]] | t^2.136 + t^2.295 + t^2.523 + t^2.682 + t^3.069 + t^3.159 + t^3.477 + t^3.636 + t^4.092 + t^4.113 + 2*t^4.272 + t^4.431 + t^4.5 + t^4.59 + t^4.659 + 2*t^4.818 + t^4.907 + t^4.977 + t^5.046 + 2*t^5.205 + t^5.295 + t^5.364 + t^5.454 + t^5.613 + t^5.682 + t^5.751 + t^5.772 + t^5.841 + t^5.931 - 2*t^6. - t^4.341/y - t^4.341*y | detail |