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 |
|---|---|---|---|---|---|---|---|---|---|
| 2024 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6559 | 0.8685 | 0.7552 | [M:[0.9574, 1.1279, 0.9574, 0.8721, 0.7258, 0.7529, 0.811], q:[0.7393, 0.3033], qb:[0.4496, 0.4225], phi:[0.5213]] | [M:[[4, 4], [-12, -12], [4, 4], [12, 12], [-5, 7], [7, -5], [-13, -1]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$ | -3 | 2*t^2.177 + 2*t^2.259 + t^2.433 + t^2.616 + 2*t^2.872 + t^3.384 + t^3.486 + t^4.099 + t^4.18 + t^4.262 + 3*t^4.355 + 4*t^4.436 + 3*t^4.518 + 2*t^4.61 + 2*t^4.692 + 2*t^4.794 + t^4.866 + 2*t^4.875 + 5*t^5.049 + 4*t^5.131 + t^5.233 + 2*t^5.305 + 2*t^5.489 + t^5.561 + t^5.642 + 2*t^5.663 + 4*t^5.744 + t^5.817 - 3*t^6. - t^6.081 + t^6.102 + 2*t^6.276 + 4*t^6.358 + 2*t^6.439 + 2*t^6.521 + 5*t^6.532 + 5*t^6.613 + 5*t^6.695 + t^6.715 + t^6.767 + 4*t^6.776 + 3*t^6.788 + t^6.797 + 3*t^6.869 + t^6.878 + t^6.951 + 5*t^6.971 + 2*t^7.043 + 5*t^7.052 + t^7.125 + 4*t^7.134 - t^7.206 + 7*t^7.227 + t^7.299 + 7*t^7.308 + 5*t^7.39 + 2*t^7.41 + 4*t^7.482 + 2*t^7.492 + t^7.564 + t^7.584 - t^7.645 + 5*t^7.666 + 3*t^7.738 + 4*t^7.747 + 3*t^7.84 + t^7.849 + t^7.901 + 7*t^7.922 + t^7.994 + 4*t^8.003 + t^8.075 + 2*t^8.105 - 5*t^8.177 + t^8.198 + t^8.25 - 9*t^8.259 + 3*t^8.279 - 2*t^8.34 + 5*t^8.361 - 5*t^8.433 + t^8.442 + 3*t^8.454 - 3*t^8.514 + t^8.524 + 7*t^8.535 + 5*t^8.616 + 2*t^8.698 + 7*t^8.709 + t^8.718 + 3*t^8.779 + 6*t^8.791 - 4*t^8.872 + 2*t^8.893 + t^8.944 + 4*t^8.954 + 5*t^8.965 + 4*t^8.974 - t^4.564/y - t^6.741/y - t^6.823/y - t^6.997/y + t^7.355/y + (3*t^7.436)/y + t^7.518/y + (2*t^7.61)/y + (3*t^7.692)/y + (2*t^7.794)/y + (2*t^7.875)/y + (5*t^8.049)/y + (5*t^8.131)/y + (3*t^8.305)/y + t^8.387/y + (2*t^8.489)/y + (2*t^8.561)/y + (2*t^8.642)/y + (2*t^8.663)/y + (3*t^8.744)/y + t^8.817/y - t^4.564*y - t^6.741*y - t^6.823*y - t^6.997*y + t^7.355*y + 3*t^7.436*y + t^7.518*y + 2*t^7.61*y + 3*t^7.692*y + 2*t^7.794*y + 2*t^7.875*y + 5*t^8.049*y + 5*t^8.131*y + 3*t^8.305*y + t^8.387*y + 2*t^8.489*y + 2*t^8.561*y + 2*t^8.642*y + 2*t^8.663*y + 3*t^8.744*y + t^8.817*y | (2*g2^7*t^2.177)/g1^5 + (2*g1^7*t^2.259)/g2^5 + t^2.433/(g1^13*g2) + g1^12*g2^12*t^2.616 + 2*g1^4*g2^4*t^2.872 + t^3.384/(g1^12*g2^12) + g1*g2^13*t^3.486 + (g2^22*t^4.099)/g1^2 + g1^10*g2^10*t^4.18 + (g1^22*t^4.262)/g2^2 + (3*g2^14*t^4.355)/g1^10 + 4*g1^2*g2^2*t^4.436 + (3*g1^14*t^4.518)/g2^10 + (2*g2^6*t^4.61)/g1^18 + (2*t^4.692)/(g1^6*g2^6) + 2*g1^7*g2^19*t^4.794 + t^4.866/(g1^26*g2^2) + 2*g1^19*g2^7*t^4.875 + (5*g2^11*t^5.049)/g1 + (4*g1^11*t^5.131)/g2 + g1^24*g2^24*t^5.233 + (2*g2^3*t^5.305)/g1^9 + 2*g1^16*g2^16*t^5.489 + t^5.561/(g1^17*g2^5) + t^5.642/(g1^5*g2^17) + (2*g2^20*t^5.663)/g1^4 + 4*g1^8*g2^8*t^5.744 + t^5.817/(g1^25*g2^13) - 3*t^6. - (g1^12*t^6.081)/g2^12 + g1^13*g2^25*t^6.102 + (2*g2^29*t^6.276)/g1^7 + 4*g1^5*g2^17*t^6.358 + 2*g1^17*g2^5*t^6.439 + (2*g1^29*t^6.521)/g2^7 + (5*g2^21*t^6.532)/g1^15 + (5*g2^9*t^6.613)/g1^3 + (5*g1^9*t^6.695)/g2^3 + g1^10*g2^34*t^6.715 + t^6.767/(g1^24*g2^24) + (4*g1^21*t^6.776)/g2^15 + (3*g2^13*t^6.788)/g1^23 + g1^22*g2^22*t^6.797 + (3*g2*t^6.869)/g1^11 + g1^34*g2^10*t^6.878 + (g1*t^6.951)/g2^11 + 5*g1^2*g2^26*t^6.971 + (2*g2^5*t^7.043)/g1^31 + 5*g1^14*g2^14*t^7.052 + t^7.125/(g1^19*g2^7) + 4*g1^26*g2^2*t^7.134 - t^7.206/(g1^7*g2^19) + (7*g2^18*t^7.227)/g1^6 + t^7.299/(g1^39*g2^3) + 7*g1^6*g2^6*t^7.308 + (5*g1^18*t^7.39)/g2^6 + 2*g1^19*g2^31*t^7.41 + (4*g2^10*t^7.482)/g1^14 + 2*g1^31*g2^19*t^7.492 + t^7.564/(g1^2*g2^2) + (g2^35*t^7.584)/g1 - (g1^10*t^7.645)/g2^14 + 5*g1^11*g2^23*t^7.666 + (3*g2^2*t^7.738)/g1^22 + 4*g1^23*g2^11*t^7.747 + (3*g2^27*t^7.84)/g1^9 + g1^36*g2^36*t^7.849 + (g1^2*t^7.901)/g2^22 + 7*g1^3*g2^15*t^7.922 + t^7.994/(g1^30*g2^6) + 4*g1^15*g2^3*t^8.003 + t^8.075/(g1^18*g2^18) + 2*g1^28*g2^28*t^8.105 - (5*g2^7*t^8.177)/g1^5 + (g2^44*t^8.198)/g1^4 + t^8.25/(g1^38*g2^14) - (9*g1^7*t^8.259)/g2^5 + 3*g1^8*g2^32*t^8.279 - (2*g1^19*t^8.34)/g2^17 + 5*g1^20*g2^20*t^8.361 - (5*t^8.433)/(g1^13*g2) + g1^32*g2^8*t^8.442 + (3*g2^36*t^8.454)/g1^12 - (3*t^8.514)/(g1*g2^13) + (g1^44*t^8.524)/g2^4 + 7*g2^24*t^8.535 + 5*g1^12*g2^12*t^8.616 + 2*g1^24*t^8.698 + (7*g2^28*t^8.709)/g1^20 + g1^25*g2^37*t^8.718 + (3*g1^36*t^8.779)/g2^12 + (6*g2^16*t^8.791)/g1^8 - 4*g1^4*g2^4*t^8.872 + 2*g1^5*g2^41*t^8.893 + t^8.944/(g1^29*g2^17) + (4*g1^16*t^8.954)/g2^8 + (5*g2^20*t^8.965)/g1^28 + 4*g1^17*g2^29*t^8.974 - t^4.564/(g1^2*g2^2*y) - (g2^5*t^6.741)/(g1^7*y) - (g1^5*t^6.823)/(g2^7*y) - t^6.997/(g1^15*g2^3*y) + (g2^14*t^7.355)/(g1^10*y) + (3*g1^2*g2^2*t^7.436)/y + (g1^14*t^7.518)/(g2^10*y) + (2*g2^6*t^7.61)/(g1^18*y) + (3*t^7.692)/(g1^6*g2^6*y) + (2*g1^7*g2^19*t^7.794)/y + (2*g1^19*g2^7*t^7.875)/y + (5*g2^11*t^8.049)/(g1*y) + (5*g1^11*t^8.131)/(g2*y) + (3*g2^3*t^8.305)/(g1^9*y) + (g1^3*t^8.387)/(g2^9*y) + (2*g1^16*g2^16*t^8.489)/y + (2*t^8.561)/(g1^17*g2^5*y) + (2*t^8.642)/(g1^5*g2^17*y) + (2*g2^20*t^8.663)/(g1^4*y) + (3*g1^8*g2^8*t^8.744)/y + t^8.817/(g1^25*g2^13*y) - (t^4.564*y)/(g1^2*g2^2) - (g2^5*t^6.741*y)/g1^7 - (g1^5*t^6.823*y)/g2^7 - (t^6.997*y)/(g1^15*g2^3) + (g2^14*t^7.355*y)/g1^10 + 3*g1^2*g2^2*t^7.436*y + (g1^14*t^7.518*y)/g2^10 + (2*g2^6*t^7.61*y)/g1^18 + (3*t^7.692*y)/(g1^6*g2^6) + 2*g1^7*g2^19*t^7.794*y + 2*g1^19*g2^7*t^7.875*y + (5*g2^11*t^8.049*y)/g1 + (5*g1^11*t^8.131*y)/g2 + (3*g2^3*t^8.305*y)/g1^9 + (g1^3*t^8.387*y)/g2^9 + 2*g1^16*g2^16*t^8.489*y + (2*t^8.561*y)/(g1^17*g2^5) + (2*t^8.642*y)/(g1^5*g2^17) + (2*g2^20*t^8.663*y)/g1^4 + 3*g1^8*g2^8*t^8.744*y + (t^8.817*y)/(g1^25*g2^13) |
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 |
|---|---|---|---|---|---|---|---|---|
| 3088 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.5814 | 0.7689 | 0.7561 | [M:[1.0507, 0.8479, 1.0507, 1.1521, 0.8479, 0.6775, 0.7465], q:[0.7627, 0.1866], qb:[0.4908, 0.6613], phi:[0.4746]] | 2*t^2.032 + t^2.239 + 3*t^2.544 + 2*t^3.152 + t^3.456 + 3*t^4.065 + 3*t^4.272 + t^4.369 + t^4.479 + 5*t^4.576 + 3*t^4.783 + t^4.88 + 5*t^5.087 + 4*t^5.184 + 3*t^5.392 + t^5.489 + 5*t^5.696 - 2*t^6. - t^4.424/y - t^4.424*y | detail | |
| 3089 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6548 | 0.8694 | 0.7531 | [M:[0.9458, 1.1627, 0.9458, 0.8373, 0.7289, 0.744, 0.8373], q:[0.7364, 0.3178], qb:[0.4262, 0.4111], phi:[0.5271]] | 2*t^2.187 + 2*t^2.232 + 2*t^2.512 + 2*t^2.837 + t^3.443 + t^3.488 + t^4.048 + t^4.093 + t^4.139 + 3*t^4.373 + 4*t^4.419 + 3*t^4.464 + 4*t^4.699 + 4*t^4.744 + 7*t^5.024 + 4*t^5.069 + 4*t^5.349 + 2*t^5.629 + 5*t^5.675 + t^5.72 + t^5.955 - 2*t^6. - t^4.581/y - t^4.581*y | detail | |
| 3090 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6708 | 0.8928 | 0.7514 | [M:[0.9658, 1.1027, 0.9658, 0.8973, 0.7414, 0.7414, 0.8099, 0.8099], q:[0.7414, 0.2928], qb:[0.4486, 0.4486], phi:[0.5171]] | 4*t^2.224 + 2*t^2.43 + t^2.692 + 2*t^2.897 + t^3.308 + 3*t^4.243 + 10*t^4.449 + 8*t^4.654 + 3*t^4.86 + 4*t^4.916 + 10*t^5.122 + 4*t^5.327 + t^5.384 + 2*t^5.532 + 2*t^5.589 + 2*t^5.738 + 2*t^5.795 - 5*t^6. - t^4.551/y - t^4.551*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 |
|---|---|---|---|---|---|---|---|---|---|
| 856 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6409 | 0.8444 | 0.759 | [M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | 4*t^2.212 + t^2.54 + 2*t^2.847 + t^3.46 + 2*t^3.481 + 3*t^4.116 + 10*t^4.423 + 4*t^4.751 + 8*t^5.058 + t^5.079 + 2*t^5.386 + 2*t^5.672 + 10*t^5.693 - 5*t^6. - t^4.577/y - t^4.577*y | detail |