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 |
|---|---|---|---|---|---|---|---|---|---|
| 2873 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.5573 | 0.6931 | 0.804 | [X:[1.4085], M:[0.9183, 0.5915, 1.0817, 1.0, 0.7549, 1.1634], q:[0.8317, 0.75], qb:[0.25, 0.4951], phi:[0.4183]] | [X:[[5]], M:[[-1], [-5], [1], [0], [-3], [2]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.235 + t^2.265 + t^2.755 + t^3. + t^3.245 + 2*t^3.49 + t^3.98 + t^4.225 + t^4.47 + t^4.5 + t^4.53 + t^4.745 + t^4.99 + t^5.02 + t^5.235 + t^5.48 + t^5.51 + 2*t^5.725 + 2*t^5.755 - t^6. + t^6.216 + 2*t^6.245 + t^6.461 + 2*t^6.49 - t^6.52 + t^6.706 + 2*t^6.735 + t^6.794 + 3*t^6.98 + 2*t^7.225 - t^7.255 + t^7.284 + 3*t^7.47 - t^7.5 + 2*t^7.716 + t^7.775 + 3*t^7.961 + t^7.99 + t^8.02 + t^8.206 - t^8.235 - 2*t^8.265 + 2*t^8.451 + t^8.48 + t^8.51 + t^8.696 + 2*t^8.725 - 2*t^8.755 - t^8.784 + t^8.941 + 2*t^8.97 - t^4.255/y - t^6.52/y + t^7.5/y + (2*t^7.99)/y + t^8.02/y + t^8.235/y + t^8.265/y + t^8.48/y + t^8.51/y + (2*t^8.725)/y + (3*t^8.755)/y - t^8.784/y - t^4.255*y - t^6.52*y + t^7.5*y + 2*t^7.99*y + t^8.02*y + t^8.235*y + t^8.265*y + t^8.48*y + t^8.51*y + 2*t^8.725*y + 3*t^8.755*y - t^8.784*y | g1^3*t^2.235 + t^2.265/g1^3 + t^2.755/g1 + t^3. + g1*t^3.245 + 2*g1^2*t^3.49 + g1^4*t^3.98 + g1^5*t^4.225 + g1^6*t^4.47 + t^4.5 + t^4.53/g1^6 + g1*t^4.745 + g1^2*t^4.99 + t^5.02/g1^4 + g1^3*t^5.235 + g1^4*t^5.48 + t^5.51/g1^2 + 2*g1^5*t^5.725 + (2*t^5.755)/g1 - t^6. + g1^7*t^6.216 + 2*g1*t^6.245 + g1^8*t^6.461 + 2*g1^2*t^6.49 - t^6.52/g1^4 + g1^9*t^6.706 + 2*g1^3*t^6.735 + t^6.794/g1^9 + 3*g1^4*t^6.98 + 2*g1^5*t^7.225 - t^7.255/g1 + t^7.284/g1^7 + 3*g1^6*t^7.47 - t^7.5 + 2*g1^7*t^7.716 + t^7.775/g1^5 + 3*g1^8*t^7.961 + g1^2*t^7.99 + t^8.02/g1^4 + g1^9*t^8.206 - g1^3*t^8.235 - (2*t^8.265)/g1^3 + 2*g1^10*t^8.451 + g1^4*t^8.48 + t^8.51/g1^2 + g1^11*t^8.696 + 2*g1^5*t^8.725 - (2*t^8.755)/g1 - t^8.784/g1^7 + g1^12*t^8.941 + 2*g1^6*t^8.97 - t^4.255/(g1*y) - t^6.52/(g1^4*y) + t^7.5/y + (2*g1^2*t^7.99)/y + t^8.02/(g1^4*y) + (g1^3*t^8.235)/y + t^8.265/(g1^3*y) + (g1^4*t^8.48)/y + t^8.51/(g1^2*y) + (2*g1^5*t^8.725)/y + (3*t^8.755)/(g1*y) - t^8.784/(g1^7*y) - (t^4.255*y)/g1 - (t^6.52*y)/g1^4 + t^7.5*y + 2*g1^2*t^7.99*y + (t^8.02*y)/g1^4 + g1^3*t^8.235*y + (t^8.265*y)/g1^3 + g1^4*t^8.48*y + (t^8.51*y)/g1^2 + 2*g1^5*t^8.725*y + (3*t^8.755*y)/g1 - (t^8.784*y)/g1^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3437 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.55 | 0.682 | 0.8064 | [X:[1.3879], M:[0.9224, 0.6121, 1.0776, 1.0, 0.7672, 1.1552, 1.0776], q:[0.8276, 0.75], qb:[0.25, 0.4828], phi:[0.4224]] | t^2.198 + t^2.302 + t^3. + 2*t^3.233 + 2*t^3.466 + t^3.931 + t^4.164 + t^4.397 + t^4.5 + t^4.603 + t^4.733 + t^5.198 + 2*t^5.431 + t^5.534 + 2*t^5.664 + t^5.767 - 2*t^6. - t^4.267/y - t^4.267*y | detail | |
| 3438 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.5781 | 0.7344 | 0.7872 | [X:[1.4109], M:[0.9178, 0.5891, 1.0822, 1.0, 0.7535, 1.1643, 0.6713], q:[0.8322, 0.75], qb:[0.25, 0.4965], phi:[0.4178]] | t^2.014 + t^2.24 + t^2.26 + t^2.753 + t^3. + t^3.247 + 2*t^3.493 + t^4.028 + t^4.233 + t^4.253 + t^4.274 + t^4.479 + t^4.5 + t^4.521 + t^4.747 + t^4.767 + t^4.993 + 2*t^5.014 + t^5.24 + t^5.26 + t^5.486 + 3*t^5.507 + 2*t^5.733 + 2*t^5.753 - t^6. - t^4.253/y - t^4.253*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1858 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.5719 | 0.7171 | 0.7975 | [X:[1.4402], M:[0.912, 0.5598, 1.088, 1.0, 0.7359], q:[0.838, 0.75], qb:[0.25, 0.5141], phi:[0.412]] | t^2.208 + t^2.292 + t^2.472 + t^2.736 + t^3. + t^3.264 + t^3.528 + t^4.057 + t^4.321 + t^4.415 + t^4.5 + t^4.585 + t^4.679 + 2*t^4.764 + 2*t^4.943 + t^5.028 + t^5.208 + t^5.292 + 2*t^5.472 + t^5.557 + 2*t^5.736 + t^5.821 - t^4.236/y - t^4.236*y | detail |