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 |
|---|---|---|---|---|---|---|---|---|---|
| 57335 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4541 | 1.6446 | 0.8841 | [X:[1.3279], M:[0.9838], q:[0.4878, 0.5039], qb:[0.5122, 0.4799], phi:[0.336]] | [X:[[0, 2]], M:[[0, 6]], q:[[-1, 12], [-1, 6]], qb:[[1, -12], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.903 + 2*t^2.951 + t^3. + t^3.024 + t^3.911 + t^3.96 + t^3.984 + t^4.008 + t^4.057 + t^4.919 + t^4.968 + t^5.016 + t^5.065 + t^5.424 + t^5.447 + t^5.495 + t^5.521 + t^5.806 + 2*t^5.854 + 3*t^5.903 + t^5.927 + t^5.951 + 2*t^5.976 - 3*t^6. + t^6.024 - t^6.097 + t^6.432 + t^6.455 + t^6.503 + t^6.529 + t^6.814 + 3*t^6.862 + t^6.887 + 3*t^6.911 + 3*t^6.935 + 3*t^6.96 + 2*t^6.984 + t^7.008 + t^7.032 + t^7.081 - t^7.105 + t^7.343 + t^7.414 - t^7.438 + t^7.44 + t^7.463 - t^7.464 + t^7.511 - t^7.513 - t^7.536 + t^7.537 + t^7.56 + t^7.634 + 2*t^7.822 + 4*t^7.871 + 5*t^7.919 + t^7.943 + 5*t^7.968 + t^7.992 + 3*t^8.016 + t^8.04 + t^8.065 + t^8.089 + t^8.327 + t^8.349 + t^8.375 + 2*t^8.398 + t^8.424 + t^8.447 + t^8.448 + t^8.471 - t^8.495 + t^8.519 - t^8.521 - 2*t^8.544 + t^8.545 - t^8.57 - t^8.592 - t^8.618 + t^8.709 + 2*t^8.757 + 3*t^8.806 + 2*t^8.83 + 3*t^8.854 + 4*t^8.879 - 3*t^8.903 + 6*t^8.927 - 6*t^8.951 + 4*t^8.976 - t^4.008/y - t^5.016/y - t^6.911/y - (2*t^6.96)/y - t^7.008/y - t^7.032/y - t^7.919/y - (2*t^7.968)/y - t^8.016/y - t^8.04/y + (2*t^8.854)/y + (2*t^8.903)/y + (2*t^8.951)/y + t^8.976/y - t^4.008*y - t^5.016*y - t^6.911*y - 2*t^6.96*y - t^7.008*y - t^7.032*y - t^7.919*y - 2*t^7.968*y - t^8.016*y - t^8.04*y + 2*t^8.854*y + 2*t^8.903*y + 2*t^8.951*y + t^8.976*y | g2^12*t^2.903 + 2*g2^6*t^2.951 + t^3. + t^3.024/g2^3 + g2^11*t^3.911 + g2^5*t^3.96 + g2^2*t^3.984 + t^4.008/g2 + t^4.057/g2^7 + g2^10*t^4.919 + g2^4*t^4.968 + t^5.016/g2^2 + t^5.065/g2^8 + (g1^3*t^5.424)/g2^13 + (g2^29*t^5.447)/g1^3 + (g2^23*t^5.495)/g1^3 + (g1^3*t^5.521)/g2^25 + g2^24*t^5.806 + 2*g2^18*t^5.854 + 3*g2^12*t^5.903 + g2^9*t^5.927 + g2^6*t^5.951 + 2*g2^3*t^5.976 - 3*t^6. + t^6.024/g2^3 - t^6.097/g2^12 + (g1^3*t^6.432)/g2^14 + (g2^28*t^6.455)/g1^3 + (g2^22*t^6.503)/g1^3 + (g1^3*t^6.529)/g2^26 + g2^23*t^6.814 + 3*g2^17*t^6.862 + g2^14*t^6.887 + 3*g2^11*t^6.911 + 3*g2^8*t^6.935 + 3*g2^5*t^6.96 + 2*g2^2*t^6.984 + t^7.008/g2 + t^7.032/g2^4 + t^7.081/g2^10 - t^7.105/g2^13 + (g1^3*t^7.343)/g2^3 + (g2^33*t^7.414)/g1^3 - (g2^30*t^7.438)/g1^3 + (g1^3*t^7.44)/g2^15 + (g2^27*t^7.463)/g1^3 - (g1^3*t^7.464)/g2^18 + (g2^21*t^7.511)/g1^3 - (g1^3*t^7.513)/g2^24 - (g2^18*t^7.536)/g1^3 + (g1^3*t^7.537)/g2^27 + (g2^15*t^7.56)/g1^3 + (g1^3*t^7.634)/g2^39 + 2*g2^22*t^7.822 + 4*g2^16*t^7.871 + 5*g2^10*t^7.919 + g2^7*t^7.943 + 5*g2^4*t^7.968 + g2*t^7.992 + (3*t^8.016)/g2^2 + t^8.04/g2^5 + t^8.065/g2^8 + t^8.089/g2^11 + (g1^3*t^8.327)/g2 + (g2^41*t^8.349)/g1^3 + (g1^3*t^8.375)/g2^7 + (2*g2^35*t^8.398)/g1^3 + (g1^3*t^8.424)/g2^13 + (g2^29*t^8.447)/g1^3 + (g1^3*t^8.448)/g2^16 + (g2^26*t^8.471)/g1^3 - (g2^23*t^8.495)/g1^3 + (g2^20*t^8.519)/g1^3 - (g1^3*t^8.521)/g2^25 - (2*g2^17*t^8.544)/g1^3 + (g1^3*t^8.545)/g2^28 - (g1^3*t^8.57)/g2^31 - (g2^11*t^8.592)/g1^3 - (g1^3*t^8.618)/g2^37 + g2^36*t^8.709 + 2*g2^30*t^8.757 + 3*g2^24*t^8.806 + 2*g2^21*t^8.83 + 3*g2^18*t^8.854 + 4*g2^15*t^8.879 - 3*g2^12*t^8.903 + 6*g2^9*t^8.927 - 6*g2^6*t^8.951 + 4*g2^3*t^8.976 - t^4.008/(g2*y) - t^5.016/(g2^2*y) - (g2^11*t^6.911)/y - (2*g2^5*t^6.96)/y - t^7.008/(g2*y) - t^7.032/(g2^4*y) - (g2^10*t^7.919)/y - (2*g2^4*t^7.968)/y - t^8.016/(g2^2*y) - t^8.04/(g2^5*y) + (2*g2^18*t^8.854)/y + (2*g2^12*t^8.903)/y + (2*g2^6*t^8.951)/y + (g2^3*t^8.976)/y - (t^4.008*y)/g2 - (t^5.016*y)/g2^2 - g2^11*t^6.911*y - 2*g2^5*t^6.96*y - (t^7.008*y)/g2 - (t^7.032*y)/g2^4 - g2^10*t^7.919*y - 2*g2^4*t^7.968*y - (t^8.016*y)/g2^2 - (t^8.04*y)/g2^5 + 2*g2^18*t^8.854*y + 2*g2^12*t^8.903*y + 2*g2^6*t^8.951*y + g2^3*t^8.976*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 |
|---|---|---|---|---|---|---|---|---|
| 58109 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4747 | 1.684 | 0.8757 | [X:[1.329], M:[0.987, 0.6904], q:[0.4902, 0.5032], qb:[0.5098, 0.4839], phi:[0.3355]] | t^2.07 + t^2.92 + 2*t^2.96 + t^3. + t^3.02 + t^3.97 + t^3.99 + t^4.01 + t^4.05 + t^4.14 + t^4.94 + t^4.97 + t^4.99 + t^5.01 + 2*t^5.03 + t^5.05 + t^5.07 + t^5.09 + t^5.44 + t^5.46 + t^5.5 + t^5.52 + t^5.84 + 2*t^5.88 + 3*t^5.92 + t^5.94 + t^5.96 + 2*t^5.98 - 3*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
| 58110 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{1}$ | 1.4749 | 1.6859 | 0.8748 | [X:[1.328], M:[0.984, 0.672], q:[0.4879, 0.5039], qb:[0.5121, 0.48], phi:[0.336]] | t^2.02 + t^2.9 + 2*t^2.95 + t^3. + t^3.02 + t^3.91 + t^3.96 + t^4.01 + t^4.03 + t^4.06 + 2*t^4.92 + 3*t^4.97 + 2*t^5.02 + t^5.04 + t^5.06 + t^5.42 + t^5.45 + t^5.5 + t^5.52 + t^5.81 + 2*t^5.86 + 3*t^5.9 + 2*t^5.93 + t^5.95 + 3*t^5.98 - 3*t^6. - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail | |
| 58107 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4381 | 1.6279 | 0.8834 | [X:[1.3293], M:[0.9878], q:[0.5467, 0.559], qb:[0.4533, 0.4288], phi:[0.3354]] | t^2.93 + 2*t^2.96 + t^3. + t^3.02 + t^3.93 + t^3.97 + t^3.99 + t^4.01 + t^4.04 + 2*t^4.94 + t^4.98 + 2*t^5.01 + t^5.05 + t^5.85 + 2*t^5.89 + 3*t^5.93 + 2*t^5.94 + 2*t^5.96 + 2*t^5.98 - 2*t^6. - t^4.01/y - t^5.01/y - t^4.01*y - t^5.01*y | detail | |
| 58108 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.44 | 1.6325 | 0.8821 | [X:[1.3245], M:[0.9734], q:[0.4282, 0.4548], qb:[0.5718, 0.5186], phi:[0.3378]] | t^2.84 + 2*t^2.92 + t^3. + t^3.04 + t^3.85 + t^3.93 + t^3.97 + t^4.01 + t^4.09 + t^4.87 + 2*t^4.95 + 2*t^5.03 + t^5.11 + t^5.68 + 2*t^5.76 + 4*t^5.84 + t^5.88 + t^5.92 + 3*t^5.96 - 2*t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47883 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4532 | 1.6411 | 0.8855 | [X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] | t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y | detail |