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 |
|---|---|---|---|---|---|---|---|---|---|
| 57821 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.339 | 1.4988 | 0.8933 | [X:[1.442], M:[1.116, 0.837, 0.837], q:[0.442, 0.721], qb:[0.442, 0.721], phi:[0.279]] | [X:[[0, 0, 2]], M:[[0, 0, -4], [-1, 1, -2], [1, -1, -4]], q:[[-1, 0, 4], [0, -1, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$ | ${}M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{1}$ | -2 | 3*t^2.51 + t^3.35 + t^3.49 + 5*t^4.33 + 6*t^5.02 + t^5.16 + 2*t^5.65 + 3*t^5.86 - 2*t^6. + 6*t^6.49 + t^6.7 + 9*t^6.84 + t^6.98 + 10*t^7.53 + 5*t^7.67 + 4*t^7.81 - 2*t^8.16 + 6*t^8.37 - 6*t^8.51 + 12*t^8.65 + t^8.51/y^2 - t^3.84/y - t^4.67/y - (3*t^6.35)/y - (4*t^7.19)/y + (2*t^8.02)/y - (2*t^8.16)/y - (3*t^8.86)/y - t^3.84*y - t^4.67*y - 3*t^6.35*y - 4*t^7.19*y + 2*t^8.02*y - 2*t^8.16*y - 3*t^8.86*y + t^8.51*y^2 | (g1*t^2.51)/(g2*g3^4) + t^2.51/g3^3 + (g2*t^2.51)/(g1*g3^2) + t^3.35/g3^4 + g3^3*t^3.49 + (g1*g3*t^4.33)/g2 + 3*g3^2*t^4.33 + (g2*g3^3*t^4.33)/g1 + (g1^2*t^5.02)/(g2^2*g3^8) + (g1*t^5.02)/(g2*g3^7) + (2*t^5.02)/g3^6 + (g2*t^5.02)/(g1*g3^5) + (g2^2*t^5.02)/(g1^2*g3^4) + g3*t^5.16 + (g1^2*g2*t^5.65)/g3 + (g3^9*t^5.65)/(g1^2*g2) + (g1*t^5.86)/(g2*g3^8) + t^5.86/g3^7 + (g2*t^5.86)/(g1*g3^6) - 2*t^6. + (g1^3*t^6.49)/g3^3 + (g1^2*g2*t^6.49)/g3^2 + (g1*g2^2*t^6.49)/g3 + (g3^7*t^6.49)/(g1*g2^2) + (g3^8*t^6.49)/(g1^2*g2) + (g3^9*t^6.49)/g1^3 + t^6.7/g3^8 + (2*g2*t^6.84)/g1 + (g1^2*t^6.84)/(g2^2*g3^3) + (2*g1*t^6.84)/(g2*g3^2) + (3*t^6.84)/g3 + (g2^2*g3*t^6.84)/g1^2 + g3^6*t^6.98 + (g1^3*t^7.53)/(g2^3*g3^12) + (g1^2*t^7.53)/(g2^2*g3^11) + (2*g1*t^7.53)/(g2*g3^10) + (2*t^7.53)/g3^9 + (2*g2*t^7.53)/(g1*g3^8) + (g2^2*t^7.53)/(g1^2*g3^7) + (g2^3*t^7.53)/(g1^3*g3^6) + (g1*t^7.67)/(g2*g3^3) + (3*t^7.67)/g3^2 + (g2*t^7.67)/(g1*g3) + (g1*g3^4*t^7.81)/g2 + 2*g3^5*t^7.81 + (g2*g3^6*t^7.81)/g1 - (g1^2*g2*t^8.16)/g3^4 - (g3^6*t^8.16)/(g1^2*g2) + (g1^2*t^8.37)/(g2^2*g3^12) + (g1*t^8.37)/(g2*g3^11) + (2*t^8.37)/g3^10 + (g2*t^8.37)/(g1*g3^9) + (g2^2*t^8.37)/(g1^2*g3^8) - (3*g1*t^8.51)/(g2*g3^4) - (3*g2*t^8.51)/(g1*g3^2) + (g1^2*g3^2*t^8.65)/g2^2 + (2*g1*g3^3*t^8.65)/g2 + 6*g3^4*t^8.65 + (2*g2*g3^5*t^8.65)/g1 + (g2^2*g3^6*t^8.65)/g1^2 + t^8.51/(g3^3*y^2) - t^3.84/(g3*y) - t^4.67/(g3^2*y) - (g1*t^6.35)/(g2*g3^5*y) - t^6.35/(g3^4*y) - (g2*t^6.35)/(g1*g3^3*y) - (g1*t^7.19)/(g2*g3^6*y) - (2*t^7.19)/(g3^5*y) - (g2*t^7.19)/(g1*g3^4*y) + (g1*t^8.02)/(g2*g3^7*y) + (g2*t^8.02)/(g1*g3^5*y) - (2*g3*t^8.16)/y - (g1^2*t^8.86)/(g2^2*g3^9*y) - t^8.86/(g3^7*y) - (g2^2*t^8.86)/(g1^2*g3^5*y) - (t^3.84*y)/g3 - (t^4.67*y)/g3^2 - (g1*t^6.35*y)/(g2*g3^5) - (t^6.35*y)/g3^4 - (g2*t^6.35*y)/(g1*g3^3) - (g1*t^7.19*y)/(g2*g3^6) - (2*t^7.19*y)/g3^5 - (g2*t^7.19*y)/(g1*g3^4) + (g1*t^8.02*y)/(g2*g3^7) + (g2*t^8.02*y)/(g1*g3^5) - 2*g3*t^8.16*y - (g1^2*t^8.86*y)/(g2^2*g3^9) - (t^8.86*y)/g3^7 - (g2^2*t^8.86*y)/(g1^2*g3^5) + (t^8.51*y^2)/g3^3 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57288 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.327 | 1.4812 | 0.8959 | [X:[1.4268], M:[1.1464, 0.8247], q:[0.4151, 0.7368], qb:[0.4385, 0.69], phi:[0.2866]] | t^2.474 + t^2.579 + t^3.315 + t^3.421 + t^3.439 + t^4.175 + 3*t^4.28 + t^4.386 + t^4.948 + t^5.054 + t^5.14 + t^5.159 + 2*t^5.561 + t^5.79 + t^5.895 + t^5.914 - 2*t^6. - t^3.86/y - t^4.72/y - t^3.86*y - t^4.72*y | detail |