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 |
|---|---|---|---|---|---|---|---|---|---|
| 60479 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9588 | 1.1556 | 0.8297 | [X:[1.625, 1.5232, 1.4768, 1.375], M:[0.875, 0.9768], q:[0.1744, 0.2762], qb:[0.2006, 0.3488], phi:[0.5]] | [X:[[0, -1], [-3, 0], [3, 0], [0, 1]], M:[[0, 1], [3, 0]], q:[[-1, 0], [2, -1]], qb:[[1, 1], [-2, 0]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.63 + 2*t^2.93 + t^3. + t^3.37 + t^3.68 + t^3.75 + 2*t^4.13 + t^4.19 + 2*t^4.43 + t^4.5 + 2*t^4.57 + 3*t^4.87 + t^5.18 + 4*t^5.25 + 3*t^5.56 + t^5.63 + 3*t^5.86 + t^5.93 - 2*t^6. + 2*t^6.31 + 2*t^6.38 - t^6.44 + 2*t^6.61 + 3*t^6.68 + 4*t^6.75 + t^6.99 + 8*t^7.06 + 3*t^7.13 + 4*t^7.19 + 5*t^7.36 + 3*t^7.43 + 8*t^7.5 + t^7.64 + 6*t^7.81 + t^7.87 + 6*t^7.88 + 2*t^8.11 + 6*t^8.18 + 5*t^8.25 + t^8.39 + 3*t^8.49 + 4*t^8.56 - 5*t^8.63 + 2*t^8.69 + 4*t^8.79 + 5*t^8.86 - 5*t^8.93 - t^4.5/y - t^6./y - t^7.13/y - t^7.43/y + t^7.5/y + t^7.57/y + t^7.87/y + t^8.25/y + (4*t^8.56)/y - t^8.63/y + t^8.86/y - t^8.93/y - t^4.5*y - t^6.*y - t^7.13*y - t^7.43*y + t^7.5*y + t^7.57*y + t^7.87*y + t^8.25*y + 4*t^8.56*y - t^8.63*y + t^8.86*y - t^8.93*y | 2*g2*t^2.63 + 2*g1^3*t^2.93 + t^3. + t^3.37/g2 + (g1^3*t^3.68)/g2^2 + g2^2*t^3.75 + 2*g2*t^4.13 + (g2*t^4.19)/g1^3 + 2*g1^3*t^4.43 + t^4.5 + (2*t^4.57)/g1^3 + (3*t^4.87)/g2 + (g1^3*t^5.18)/g2^2 + 4*g2^2*t^5.25 + 3*g1^3*g2*t^5.56 + g2*t^5.63 + 3*g1^6*t^5.86 + g1^3*t^5.93 - 2*t^6. + (g1^3*t^6.31)/g2 + g1^3*g2^3*t^6.31 + 2*g2^3*t^6.38 - t^6.44/(g1^3*g2) + (2*g1^6*t^6.61)/g2^2 + (g1^3*t^6.68)/g2^2 + 2*g1^3*g2^2*t^6.68 - t^6.75/g2^2 + 5*g2^2*t^6.75 + (g1^6*t^6.99)/g2^3 + (g1^3*t^7.06)/g2^3 + 7*g1^3*g2*t^7.06 + 3*g2*t^7.13 + (4*g2*t^7.19)/g1^3 + 4*g1^6*t^7.36 + (g1^6*t^7.36)/g2^4 + 3*g1^3*t^7.43 + 7*t^7.5 + g2^4*t^7.5 + t^7.64/g1^6 + (7*g1^3*t^7.81)/g2 - g1^3*g2^3*t^7.81 + t^7.87/g2 + 6*g2^3*t^7.88 - t^7.94/(g1^3*g2) + (g2^3*t^7.94)/g1^3 + (2*g1^6*t^8.11)/g2^2 + 6*g1^3*g2^2*t^8.18 + t^8.25/g2^2 + 4*g2^2*t^8.25 + (g2^2*t^8.39)/g1^6 - (g1^6*t^8.49)/g2^3 + 4*g1^6*g2*t^8.49 + (2*g1^3*t^8.56)/g2^3 + 2*g1^3*g2*t^8.56 - 5*g2*t^8.63 + (2*g2*t^8.69)/g1^3 + 4*g1^9*t^8.79 + 4*g1^6*t^8.86 + (g1^6*t^8.86)/g2^4 - 7*g1^3*t^8.93 + 2*g1^3*g2^4*t^8.93 - t^4.5/y - t^6./y - (g2*t^7.13)/y - (g1^3*t^7.43)/y + t^7.5/y + t^7.57/(g1^3*y) + t^7.87/(g2*y) + (g2^2*t^8.25)/y + (4*g1^3*g2*t^8.56)/y - (g2*t^8.63)/y + (g1^6*t^8.86)/y - (g1^3*t^8.93)/y - t^4.5*y - t^6.*y - g2*t^7.13*y - g1^3*t^7.43*y + t^7.5*y + (t^7.57*y)/g1^3 + (t^7.87*y)/g2 + g2^2*t^8.25*y + 4*g1^3*g2*t^8.56*y - g2*t^8.63*y + g1^6*t^8.86*y - g1^3*t^8.93*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57683 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.9587 | 1.1535 | 0.8311 | [X:[1.6173, 1.4795, 1.5205, 1.3827], M:[0.8827], q:[0.1598, 0.2976], qb:[0.2228, 0.3197], phi:[0.5]] | 2*t^2.65 + t^2.94 + t^3. + t^3.06 + t^3.35 + t^3.77 + t^3.8 + t^4.09 + 2*t^4.15 + 2*t^4.44 + t^4.5 + 2*t^4.56 + 3*t^4.85 + t^5.27 + 4*t^5.3 + 2*t^5.59 + t^5.65 + t^5.71 + t^5.88 + t^5.94 - t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |