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 |
|---|---|---|---|---|---|---|---|---|---|
| 57460 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4147 | 1.5809 | 0.8949 | [X:[1.3902], q:[0.4994, 0.5979], qb:[0.4514, 0.6218], phi:[0.3049]] | [X:[[6]], q:[[41], [-19]], qb:[[-11], [7]], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.744 + t^2.852 + t^3.148 + t^3.364 + t^3.659 + t^3.767 + t^4.063 + t^4.17 + t^4.278 + t^4.574 + t^4.682 + t^4.977 + t^5.193 + 2*t^5.489 + t^5.597 + t^5.705 + t^5.892 - t^6. + t^6.108 + t^6.216 + t^6.403 + 2*t^6.511 + t^6.619 + t^6.727 + 3*t^6.807 + 2*t^6.915 + 3*t^7.023 + 2*t^7.131 + t^7.239 + 3*t^7.318 + 2*t^7.426 + 3*t^7.534 + t^7.642 + 2*t^7.722 + 3*t^7.83 + 2*t^7.937 + 2*t^8.045 + t^8.125 + 3*t^8.233 + 4*t^8.341 + 2*t^8.449 + 2*t^8.557 + 2*t^8.636 + t^8.744 + t^8.852 + 2*t^8.96 + t^8.744/y^2 - t^3.915/y - t^4.83/y - t^6.659/y - t^6.767/y - t^7.063/y - t^7.278/y - (2*t^7.574)/y - t^7.682/y - t^7.977/y - t^8.193/y - t^8.489/y - t^3.915*y - t^4.83*y - t^6.659*y - t^6.767*y - t^7.063*y - t^7.278*y - 2*t^7.574*y - t^7.682*y - t^7.977*y - t^8.193*y - t^8.489*y + t^8.744*y^2 | t^2.744/g1^9 + g1^30*t^2.852 + t^3.148/g1^30 + g1^48*t^3.364 + t^3.659/g1^12 + g1^27*t^3.767 + t^4.063/g1^33 + g1^6*t^4.17 + g1^45*t^4.278 + t^4.574/g1^15 + g1^24*t^4.682 + t^4.977/g1^36 + g1^42*t^5.193 + (2*t^5.489)/g1^18 + g1^21*t^5.597 + g1^60*t^5.705 + t^5.892/g1^39 - t^6. + g1^39*t^6.108 + g1^78*t^6.216 + t^6.403/g1^21 + 2*g1^18*t^6.511 + g1^57*t^6.619 + g1^96*t^6.727 + (3*t^6.807)/g1^42 + (2*t^6.915)/g1^3 + 3*g1^36*t^7.023 + 2*g1^75*t^7.131 + g1^114*t^7.239 + (3*t^7.318)/g1^24 + 2*g1^15*t^7.426 + 3*g1^54*t^7.534 + g1^93*t^7.642 + (2*t^7.722)/g1^45 + (3*t^7.83)/g1^6 + 2*g1^33*t^7.937 + 2*g1^72*t^8.045 + t^8.125/g1^66 + (3*t^8.233)/g1^27 + 4*g1^12*t^8.341 + 2*g1^51*t^8.449 + 2*g1^90*t^8.557 + (2*t^8.636)/g1^48 + t^8.744/g1^9 + g1^30*t^8.852 + 2*g1^69*t^8.96 + t^8.744/(g1^9*y^2) - t^3.915/(g1^3*y) - t^4.83/(g1^6*y) - t^6.659/(g1^12*y) - (g1^27*t^6.767)/y - t^7.063/(g1^33*y) - (g1^45*t^7.278)/y - (2*t^7.574)/(g1^15*y) - (g1^24*t^7.682)/y - t^7.977/(g1^36*y) - (g1^42*t^8.193)/y - t^8.489/(g1^18*y) - (t^3.915*y)/g1^3 - (t^4.83*y)/g1^6 - (t^6.659*y)/g1^12 - g1^27*t^6.767*y - (t^7.063*y)/g1^33 - g1^45*t^7.278*y - (2*t^7.574*y)/g1^15 - g1^24*t^7.682*y - (t^7.977*y)/g1^36 - g1^42*t^8.193*y - (t^8.489*y)/g1^18 + (t^8.744*y^2)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59602 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4341 | 1.6162 | 0.8873 | [X:[1.3912], M:[0.7395], q:[0.5068, 0.5944], qb:[0.4494, 0.6231], phi:[0.3044]] | t^2.22 + t^2.74 + t^2.87 + t^3.13 + t^3.39 + t^3.65 + t^4.04 + t^4.17 + t^4.3 + t^4.44 + t^4.57 + t^4.69 + 2*t^4.96 + t^5.09 + t^5.22 + t^5.35 + 2*t^5.48 + 2*t^5.61 + t^5.74 + 2*t^5.87 - t^6. - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*y | detail | |
| 60770 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.407 | 1.5682 | 0.8972 | [X:[1.3893], M:[1.0839], q:[0.4935, 0.6006], qb:[0.453, 0.6208], phi:[0.3054]] | t^2.84 + t^3.16 + t^3.25 + t^3.34 + t^3.66 + t^3.76 + t^4.08 + t^4.17 + t^4.26 + t^4.58 + t^4.67 + t^4.99 + t^5.18 + t^5.5 + t^5.68 - t^6. - t^3.92/y - t^4.83/y - t^3.92*y - t^4.83*y | detail | |
| 58768 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4108 | 1.5738 | 0.8965 | [X:[1.3932], M:[1.0338], q:[0.5205, 0.5881], qb:[0.4457, 0.6254], phi:[0.3034]] | t^2.73 + 2*t^3.1 + t^3.44 + t^3.64 + t^3.81 + t^4.01 + t^4.18 + t^4.35 + t^4.55 + t^4.72 + t^4.92 + t^5.26 + 2*t^5.46 + 2*t^5.83 - 2*t^6. - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y | detail | |
| 58852 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.42 | 1.5913 | 0.8924 | [X:[1.3872], M:[0.9361], q:[0.4794, 0.6071], qb:[0.4567, 0.6184], phi:[0.3064]] | t^2.76 + 2*t^2.81 + t^3.29 + t^3.68 + t^3.73 + t^4.11 + t^4.16 + t^4.21 + t^4.6 + t^4.65 + t^5.03 + t^5.13 + 2*t^5.51 + 2*t^5.57 + 3*t^5.62 - 2*t^6. - t^3.92/y - t^4.84/y - t^3.92*y - t^4.84*y | detail | |
| 59496 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.0547 | 1.1713 | 0.9004 | [X:[1.4667, 1.3333], M:[], q:[1.0222, 0.3556], qb:[0.3111, 0.7111], phi:[0.2667]] | t^2.4 + t^2.8 + t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 2*t^4.8 + 3*t^5.2 + 2*t^5.6 - t^3.8/y - t^4.6/y - t^3.8*y - t^4.6*y | detail | {a: 791/750, c: 1757/1500, X1: 22/15, X2: 4/3, q1: 46/45, q2: 16/45, qb1: 14/45, qb2: 32/45, phi1: 4/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47912 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6233 | 0.8887 | [X:[1.3516], q:[0.4779, 0.4779], qb:[0.5221, 0.5768], phi:[0.3242]] | t^2.918 + 2*t^3. + 2*t^3.164 + 2*t^3.973 + t^4.055 + 2*t^4.137 + 2*t^4.945 + 2*t^5.109 + 2*t^5.273 + t^5.836 + 2*t^5.918 - 2*t^6. - t^3.973/y - t^4.945/y - t^3.973*y - t^4.945*y | detail |