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 |
|---|---|---|---|---|---|---|---|---|---|
| 47003 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.671 | 0.8353 | 0.8033 | [M:[1.1683, 1.0384, 0.8317, 0.795, 1.0833, 0.7466], q:[0.3975, 0.4341], qb:[0.5641, 0.7708], phi:[0.4584]] | [M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4], [-2, 18]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. + t^6.11 + t^6.22 + t^6.23 + 2*t^6.245 + 2*t^6.365 + t^6.475 + 2*t^6.5 + t^6.61 + t^6.645 + t^6.719 + t^6.755 + 2*t^6.865 - t^6.875 + 2*t^6.975 + 2*t^6.999 + t^7.095 + t^7.12 + t^7.145 + t^7.155 + t^7.23 + 2*t^7.255 + t^7.364 + t^7.474 + t^7.485 + t^7.51 + t^7.595 + t^7.62 + 2*t^7.729 + t^7.754 + t^7.85 + 2*t^7.875 + t^7.96 + 3*t^7.985 - t^7.995 + t^8.01 + t^8.02 + t^8.229 - t^8.24 + t^8.265 + 2*t^8.35 + t^8.375 - 3*t^8.385 + t^8.459 + t^8.47 + 3*t^8.484 - 3*t^8.495 + t^8.605 + t^8.615 + t^8.63 + t^8.715 + 4*t^8.74 + t^8.764 + t^8.849 + t^8.86 + t^8.959 + t^8.97 + t^8.984 - t^8.995 - t^4.375/y - t^6.615/y - t^6.76/y + t^7.26/y - t^7.49/y + t^7.625/y + t^7.735/y + t^7.88/y + t^7.99/y + t^8.135/y + t^8.234/y + t^8.355/y + t^8.38/y + (2*t^8.49)/y + t^8.5/y + t^8.61/y + t^8.635/y + (2*t^8.745)/y - t^8.855/y + t^8.89/y - t^4.375*y - t^6.615*y - t^6.76*y + t^7.26*y - t^7.49*y + t^7.625*y + t^7.735*y + t^7.88*y + t^7.99*y + t^8.135*y + t^8.234*y + t^8.355*y + t^8.38*y + 2*t^8.49*y + t^8.5*y + t^8.61*y + t^8.635*y + 2*t^8.745*y - t^8.855*y + t^8.89*y | (g2^18*t^2.24)/g1^2 + (g1^2*t^2.385)/g2^16 + (g2^7*t^2.495)/g1 + (g2^15*t^2.995)/g1 + (g2^8*t^3.115)/g1^2 + g2^4*t^3.25 + (g1*t^3.505)/g2^7 + (g2^5*t^3.87)/g1 + (g2^28*t^3.98)/g1^4 + g1*g2*t^4.005 + (g1^2*t^4.26)/g2^10 + (g2^13*t^4.37)/g1 + (g2^36*t^4.48)/g1^4 + g2^2*t^4.625 + (g2^25*t^4.735)/g1^3 + (g1^2*t^4.76)/g2^2 + (g1^4*t^4.77)/g2^32 + (g1*t^4.88)/g2^9 + (g2^14*t^4.99)/g1^2 + (g2^33*t^5.234)/g1^3 + (g2^26*t^5.355)/g1^4 + (g1*t^5.38)/g2 + (2*g2^22*t^5.49)/g1^2 + (g1^2*t^5.635)/g2^12 + (2*g2^11*t^5.745)/g1 + (g2^30*t^5.989)/g1^2 - 2*t^6. + (g2^23*t^6.11)/g1^3 + (g2^46*t^6.22)/g1^6 + (g2^16*t^6.23)/g1^4 + (2*g2^19*t^6.245)/g1 + (2*g2^12*t^6.365)/g1^2 + (g2^35*t^6.475)/g1^5 + 2*g2^8*t^6.5 + (g2^31*t^6.61)/g1^3 + (g1^4*t^6.645)/g2^26 + (g2^54*t^6.719)/g1^6 + (g1*t^6.755)/g2^3 + (2*g2^20*t^6.865)/g1^2 - t^6.875/g2^10 + (2*g2^43*t^6.975)/g1^5 + 2*g2^16*t^6.999 + (g2^36*t^7.095)/g1^6 + (g2^9*t^7.12)/g1 + (g1^4*t^7.145)/g2^18 + (g1^6*t^7.155)/g2^48 + (g2^32*t^7.23)/g1^4 + 2*g1*g2^5*t^7.255 + (g2^28*t^7.364)/g1^2 + (g2^51*t^7.474)/g1^5 + (g2^21*t^7.485)/g1^3 + (g1^2*t^7.51)/g2^6 + (g2^44*t^7.595)/g1^6 + (g2^17*t^7.62)/g1 + (2*g2^40*t^7.729)/g1^4 + g1*g2^13*t^7.754 + (g2^33*t^7.85)/g1^5 + 2*g2^6*t^7.875 + (g2^56*t^7.96)/g1^8 + (3*g2^29*t^7.985)/g1^3 - t^7.995/(g1*g2) + g1^2*g2^2*t^8.01 + (g1^4*t^8.02)/g2^28 + (g2^48*t^8.229)/g1^4 - (g2^18*t^8.24)/g1^2 + (g1^3*t^8.265)/g2^9 + (2*g2^41*t^8.35)/g1^5 + g2^14*t^8.375 - (3*g1^2*t^8.385)/g2^16 + (g2^64*t^8.459)/g1^8 + (g2^34*t^8.47)/g1^6 + (3*g2^37*t^8.484)/g1^3 - (3*g2^7*t^8.495)/g1 + (g2^30*t^8.605)/g1^4 + t^8.615/g1^2 + g1*g2^3*t^8.63 + (g2^53*t^8.715)/g1^7 + (4*g2^26*t^8.74)/g1^2 + (g1^3*t^8.764)/g2 + (g2^49*t^8.849)/g1^5 + (g2^19*t^8.86)/g1^3 + (g2^72*t^8.959)/g1^8 + (g2^42*t^8.97)/g1^6 + (g2^45*t^8.984)/g1^3 - (g2^15*t^8.995)/g1 - t^4.375/(g2^2*y) - (g2^16*t^6.615)/(g1^2*y) - (g1^2*t^6.76)/(g2^18*y) + (g1^2*t^7.26)/(g2^10*y) - (g2^6*t^7.49)/(g1^2*y) + (g2^2*t^7.625)/y + (g2^25*t^7.735)/(g1^3*y) + (g1*t^7.88)/(g2^9*y) + (g2^14*t^7.99)/(g1^2*y) + (g1^2*t^8.135)/(g2^20*y) + (g2^33*t^8.234)/(g1^3*y) + (g2^26*t^8.355)/(g1^4*y) + (g1*t^8.38)/(g2*y) + (2*g2^22*t^8.49)/(g1^2*y) + t^8.5/(g2^8*y) + (g2^15*t^8.61)/(g1^3*y) + (g1^2*t^8.635)/(g2^12*y) + (2*g2^11*t^8.745)/(g1*y) - (g2^34*t^8.855)/(g1^4*y) + (g1^3*t^8.89)/(g2^23*y) - (t^4.375*y)/g2^2 - (g2^16*t^6.615*y)/g1^2 - (g1^2*t^6.76*y)/g2^18 + (g1^2*t^7.26*y)/g2^10 - (g2^6*t^7.49*y)/g1^2 + g2^2*t^7.625*y + (g2^25*t^7.735*y)/g1^3 + (g1*t^7.88*y)/g2^9 + (g2^14*t^7.99*y)/g1^2 + (g1^2*t^8.135*y)/g2^20 + (g2^33*t^8.234*y)/g1^3 + (g2^26*t^8.355*y)/g1^4 + (g1*t^8.38*y)/g2 + (2*g2^22*t^8.49*y)/g1^2 + (t^8.5*y)/g2^8 + (g2^15*t^8.61*y)/g1^3 + (g1^2*t^8.635*y)/g2^12 + (2*g2^11*t^8.745*y)/g1 - (g2^34*t^8.855*y)/g1^4 + (g1^3*t^8.89*y)/g2^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 51554 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6525 | 0.8129 | 0.8027 | [M:[1.1167, 1.1666, 0.8833, 0.7, 1.0667, 0.8334], q:[0.35, 0.5334], qb:[0.4834, 0.7667], phi:[0.4666]] | t^2.1 + t^2.5 + t^2.65 + t^3.05 + t^3.2 + t^3.35 + t^3.5 + t^3.75 + t^3.9 + t^4.05 + t^4.2 + t^4.3 + t^4.45 + 2*t^4.6 + t^4.75 + t^5. + 2*t^5.15 + 2*t^5.3 + t^5.551 + 2*t^5.7 + 2*t^5.85 - t^4.4/y - t^4.4*y | detail | |
| 50998 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6301 | 0.7794 | 0.8084 | [M:[1.1971, 0.8029, 0.8029, 0.7931, 1.202, 0.8078], q:[0.3966, 0.4064], qb:[0.8005, 0.8005], phi:[0.399]] | t^2.379 + 2*t^2.409 + t^2.424 + t^3.591 + 2*t^3.606 + t^3.621 + t^3.635 + t^4.759 + 2*t^4.788 + 2*t^4.803 + 3*t^4.818 + 2*t^4.832 + t^4.847 - t^4.197/y - t^4.197*y | detail | |
| 55209 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$ | 0.5856 | 0.6996 | 0.8371 | [X:[1.4115], M:[1.0885, 1.0576, 0.9115, 0.5885, 1.177, 1.0], q:[0.2942, 0.6173], qb:[0.6482, 0.7942], phi:[0.4115]] | t^2.735 + t^3. + t^3.173 + t^3.265 + t^3.531 + t^3.796 + t^3.969 + t^4.062 + t^4.235 + t^4.327 + t^5.124 + t^5.469 - t^6. - t^4.235/y - t^4.235*y | detail | |
| 54573 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6913 | 0.874 | 0.791 | [M:[1.1668, 1.0445, 0.8332, 0.7929, 1.0813, 0.7478, 0.7074], q:[0.3964, 0.4368], qb:[0.5591, 0.7703], phi:[0.4593]] | t^2.122 + t^2.243 + t^2.379 + t^2.5 + t^2.988 + t^3.133 + t^3.244 + t^3.5 + t^3.988 + t^3.999 + 2*t^4.245 + 2*t^4.366 + t^4.487 + t^4.501 + 2*t^4.622 + t^4.733 + t^4.743 + t^4.757 + t^4.878 + t^4.999 + t^5.11 + t^5.231 + t^5.256 + 2*t^5.366 + t^5.377 + 2*t^5.487 + 2*t^5.623 + 2*t^5.744 + t^5.975 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
| 55354 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6918 | 0.8766 | 0.7892 | [M:[1.1677, 1.0397, 0.8323, 0.7938, 1.0833, 0.7479, 0.6708], q:[0.3969, 0.4354], qb:[0.5634, 0.7708], phi:[0.4584]] | t^2.012 + t^2.244 + t^2.381 + t^2.497 + t^2.996 + t^3.119 + t^3.25 + t^3.503 + t^3.872 + t^4.003 + t^4.025 + 2*t^4.256 + t^4.372 + t^4.394 + t^4.487 + t^4.509 + t^4.625 + t^4.741 + t^4.755 + t^4.763 + t^4.878 + t^4.994 + t^5.009 + t^5.131 + t^5.24 + t^5.262 + t^5.363 + t^5.378 + 2*t^5.493 + t^5.515 + t^5.631 + 2*t^5.747 + t^5.884 + t^5.993 - 2*t^6. - t^4.375/y - t^4.375*y | detail | |
| 55190 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.671 | 0.8351 | 0.8035 | [M:[1.1682, 1.0375, 0.8318, 0.7943, 1.0841, 0.7477], q:[0.3972, 0.4346], qb:[0.5654, 0.771], phi:[0.458]] | t^2.243 + t^2.383 + t^2.495 + t^3. + t^3.112 + t^3.252 + t^3.505 + t^3.869 + t^3.982 + t^4.009 + t^4.261 + t^4.374 + t^4.486 + t^4.626 + t^4.739 + 2*t^4.766 + t^4.878 + t^4.991 + t^5.243 + t^5.356 + t^5.383 + 2*t^5.495 + t^5.635 + 2*t^5.748 - t^6. - t^4.374/y - t^4.374*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46760 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6522 | 0.7999 | 0.8154 | [M:[1.1615, 1.0397, 0.8385, 0.7772, 1.0915], q:[0.3886, 0.4499], qb:[0.5717, 0.7729], phi:[0.4542]] | t^2.332 + t^2.515 + t^3.065 + t^3.119 + t^3.275 + t^3.485 + t^3.694 + t^3.878 + t^4.034 + t^4.062 + t^4.244 + t^4.427 + t^4.663 + t^4.793 + t^4.847 + t^5.031 + t^5.396 + t^5.58 + t^5.606 + t^5.79 - 2*t^6. - t^4.363/y - t^4.363*y | detail |