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 |
|---|---|---|---|---|---|---|---|---|---|
| 57412 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.3303 | 1.5033 | 0.8849 | [X:[1.385], M:[0.9225], q:[0.6408, 0.4108], qb:[0.3592, 0.7442], phi:[0.3075]] | [X:[[0, 2]], M:[[0, -3]], q:[[-1, 2], [-1, 6]], qb:[[1, -2], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 0 | t^2.31 + 2*t^2.767 + t^3. + t^3.465 + t^3.922 + 3*t^4.155 + t^4.388 + t^4.62 + 3*t^5.078 + 3*t^5.31 + 3*t^5.535 + t^5.767 + t^5.775 + 4*t^6.233 + 6*t^6.465 + t^6.698 + 4*t^6.922 + 2*t^6.93 + 3*t^7.155 + 4*t^7.388 - t^7.612 + 6*t^7.62 + 3*t^7.845 + t^7.853 + 3*t^8.078 + t^8.085 + 4*t^8.302 + 5*t^8.31 + t^8.535 + 7*t^8.543 - t^8.767 + 9*t^8.775 + t^8.767/y^2 - t^3.922/y - t^4.845/y - t^6.233/y - (2*t^6.69)/y - t^6.922/y - t^7.388/y - (2*t^7.612)/y - t^7.845/y + t^8.078/y + t^8.535/y - t^8.543/y + (2*t^8.767)/y + t^8.775/y - t^3.922*y - t^4.845*y - t^6.233*y - 2*t^6.69*y - t^6.922*y - t^7.388*y - 2*t^7.612*y - t^7.845*y + t^8.078*y + t^8.535*y - t^8.543*y + 2*t^8.767*y + t^8.775*y + t^8.767*y^2 | g2^4*t^2.31 + (2*t^2.767)/g2^3 + t^3. + g2^6*t^3.465 + t^3.922/g2 + 3*g2^2*t^4.155 + g2^5*t^4.388 + g2^8*t^4.62 + 3*g2*t^5.078 + (g1^3*t^5.31)/g2^5 + g2^4*t^5.31 + (g2^13*t^5.31)/g1^3 + (3*t^5.535)/g2^6 + t^5.767/g2^3 + g2^10*t^5.775 - 2*t^6. + (g1^3*t^6.)/g2^9 + (g2^9*t^6.)/g1^3 + (g1^3*t^6.233)/g2^6 + 2*g2^3*t^6.233 + (g2^12*t^6.233)/g1^3 + (g1^3*t^6.465)/g2^3 + 4*g2^6*t^6.465 + (g2^15*t^6.465)/g1^3 + g2^9*t^6.698 + (4*t^6.922)/g2 + 2*g2^12*t^6.93 + 3*g2^2*t^7.155 + 4*g2^5*t^7.388 - t^7.612/g2^5 + (g1^3*t^7.62)/g2 + 4*g2^8*t^7.62 + (g2^17*t^7.62)/g1^3 - (g1^3*t^7.845)/g2^11 + (5*t^7.845)/g2^2 - (g2^7*t^7.845)/g1^3 + g2^11*t^7.853 + 3*g2*t^8.078 + g2^14*t^8.085 + (4*t^8.302)/g2^9 + (g1^3*t^8.31)/g2^5 + 3*g2^4*t^8.31 + (g2^13*t^8.31)/g1^3 + t^8.535/g2^6 + (g1^3*t^8.543)/g2^2 + 5*g2^7*t^8.543 + (g2^16*t^8.543)/g1^3 + (g1^3*t^8.767)/g2^12 - (3*t^8.767)/g2^3 + (g2^6*t^8.767)/g1^3 + 2*g1^3*g2*t^8.775 + 5*g2^10*t^8.775 + (2*g2^19*t^8.775)/g1^3 + t^8.767/(g2^3*y^2) - t^3.922/(g2*y) - t^4.845/(g2^2*y) - (g2^3*t^6.233)/y - (2*t^6.69)/(g2^4*y) - t^6.922/(g2*y) - (g2^5*t^7.388)/y - (2*t^7.612)/(g2^5*y) - t^7.845/(g2^2*y) + (g2*t^8.078)/y + t^8.535/(g2^6*y) - (g2^7*t^8.543)/y + (2*t^8.767)/(g2^3*y) + (g2^10*t^8.775)/y - (t^3.922*y)/g2 - (t^4.845*y)/g2^2 - g2^3*t^6.233*y - (2*t^6.69*y)/g2^4 - (t^6.922*y)/g2 - g2^5*t^7.388*y - (2*t^7.612*y)/g2^5 - (t^7.845*y)/g2^2 + g2*t^8.078*y + (t^8.535*y)/g2^6 - g2^7*t^8.543*y + (2*t^8.767*y)/g2^3 + g2^10*t^8.775*y + (t^8.767*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58822 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.351 | 1.5433 | 0.8754 | [X:[1.3845], M:[0.9233, 0.6922], q:[0.6411, 0.41], qb:[0.3589, 0.7434], phi:[0.3078]] | t^2.08 + t^2.31 + 2*t^2.77 + t^3. + t^3.46 + 4*t^4.15 + 2*t^4.38 + t^4.61 + 2*t^4.85 + 4*t^5.08 + 3*t^5.31 + 4*t^5.54 + 2*t^5.77 - t^3.92/y - t^4.85/y - t^6./y - t^3.92*y - t^4.85*y - t^6.*y | detail | |
| 60502 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.3126 | 1.4699 | 0.893 | [X:[1.3937], M:[0.9094, 1.2125], q:[0.6365, 0.4239], qb:[0.3635, 0.7573], phi:[0.3031]] | 2*t^2.73 + t^3. + t^3.54 + t^3.64 + t^3.91 + 3*t^4.18 + t^4.45 + t^5.09 + 2*t^5.36 + 3*t^5.46 + t^5.73 - t^3.91/y - t^4.82/y - t^3.91*y - t^4.82*y | detail | |
| 58871 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.3454 | 1.5267 | 0.8812 | [X:[1.3994], M:[0.901, 0.8019], q:[0.6337, 0.4324], qb:[0.3663, 0.7657], phi:[0.3003]] | t^2.4 + t^2.41 + 2*t^2.7 + t^3. + t^3.9 + 3*t^4.2 + t^4.5 + t^4.79 + t^4.8 + t^4.81 + 3*t^5.1 + 2*t^5.11 + 3*t^5.4 + 4*t^5.41 + t^5.7 - t^3.9/y - t^4.8/y - t^3.9*y - t^4.8*y | detail | |
| 59248 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.3104 | 1.4752 | 0.8883 | [X:[1.4142], M:[0.8787], q:[0.569, 0.3975], qb:[0.431, 0.8452], phi:[0.2929]] | t^2.49 + 2*t^2.64 + t^3. + t^3.73 + t^3.88 + 3*t^4.24 + t^4.61 + 2*t^4.97 + 3*t^5.12 + 3*t^5.27 + 2*t^5.49 + t^5.64 + t^5.85 - t^6. - t^3.88/y - t^4.76/y - t^3.88*y - t^4.76*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47900 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.495 | 1.7254 | 0.8664 | [M:[0.6707], q:[0.4996, 0.493], qb:[0.5004, 0.4921], phi:[0.3358]] | t^2.012 + t^2.015 + t^2.955 + t^2.975 + t^2.98 + t^3. + t^3.022 + t^3.963 + t^3.982 + t^4.007 + t^4.024 + t^4.027 + t^4.03 + t^4.968 + 2*t^4.97 + t^4.987 + 2*t^4.99 + t^4.993 + 2*t^4.995 + t^5.012 + 2*t^5.015 + t^5.035 + t^5.037 + t^5.462 + t^5.464 + t^5.484 + t^5.486 + t^5.911 + t^5.93 + t^5.936 + t^5.95 + 2*t^5.955 + t^5.961 + t^5.975 + 2*t^5.978 + t^5.995 + 2*t^5.997 - 3*t^6. - t^4.007/y - t^5.015/y - t^4.007*y - t^5.015*y | detail |