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 |
|---|---|---|---|---|---|---|---|---|---|
| 57338 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4566 | 1.6487 | 0.8835 | [X:[1.3333], M:[0.9634, 0.9634], q:[0.4993, 0.4993], qb:[0.5373, 0.464], phi:[0.3333]] | [X:[[0, 0, 0]], M:[[1, 0, 1], [-1, -1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -5 | 4*t^2.89 + t^3. + 2*t^3.89 + t^4. + 2*t^4.11 + 2*t^4.89 + 2*t^5.11 + t^5.396 + 2*t^5.494 + t^5.616 + 9*t^5.78 + 4*t^5.89 - 5*t^6. - t^6.22 + t^6.396 + 2*t^6.494 + t^6.616 + 7*t^6.78 + 6*t^6.89 + 4*t^7. + 2*t^7.11 + t^7.176 - t^7.22 - t^7.384 + t^7.396 + 4*t^7.494 - 2*t^7.506 - t^7.604 + t^7.616 + 10*t^7.78 + t^7.836 + 2*t^7.89 + 8*t^8. + 2*t^8.11 + 2*t^8.22 + 2*t^8.286 + 4*t^8.384 + t^8.396 + 2*t^8.494 - 4*t^8.604 + t^8.616 + 16*t^8.67 - 2*t^8.726 + 13*t^8.78 - 18*t^8.89 - t^4./y - t^5./y - (4*t^6.89)/y - t^7./y - (4*t^7.89)/y - t^8./y + (6*t^8.78)/y + (2*t^8.89)/y - t^4.*y - t^5.*y - 4*t^6.89*y - t^7.*y - 4*t^7.89*y - t^8.*y + 6*t^8.78*y + 2*t^8.89*y | (2*t^2.89)/(g1*g2) + 2*g1*g3*t^2.89 + t^3. + t^3.89/(g1*g2) + g1*g3*t^3.89 + t^4. + g1*g2*t^4.11 + t^4.11/(g1*g3) + t^4.89/(g1*g2) + g1*g3*t^4.89 + g1*g2*t^5.11 + t^5.11/(g1*g3) + g2*g3^2*t^5.396 + t^5.494/(g1*g2^2*g3^2) + (g1*t^5.494)/(g2*g3) + g2^2*g3*t^5.616 + (3*t^5.78)/(g1^2*g2^2) + (3*g3*t^5.78)/g2 + 3*g1^2*g3^2*t^5.78 + (2*t^5.89)/(g1*g2) + 2*g1*g3*t^5.89 - 3*t^6. - t^6./(g1^2*g2*g3) - g1^2*g2*g3*t^6. - (g2*t^6.22)/g3 + g2*g3^2*t^6.396 + t^6.494/(g1*g2^2*g3^2) + (g1*t^6.494)/(g2*g3) + g2^2*g3*t^6.616 + (2*t^6.78)/(g1^2*g2^2) + (3*g3*t^6.78)/g2 + 2*g1^2*g3^2*t^6.78 + (3*t^6.89)/(g1*g2) + 3*g1*g3*t^6.89 + 2*t^7. + t^7./(g1^2*g2*g3) + g1^2*g2*g3*t^7. + g1*g2*t^7.11 + t^7.11/(g1*g3) + g3^3*t^7.176 - (g2*t^7.22)/g3 - t^7.384/(g2^2*g3) + g2*g3^2*t^7.396 + g1^3*t^7.494 + t^7.494/(g1^3*g2^3*g3^3) + t^7.494/(g1*g2^2*g3^2) + (g1*t^7.494)/(g2*g3) - (g2*g3*t^7.506)/g1 - g1*g2^2*g3^2*t^7.506 - t^7.604/(g2*g3^2) + g2^2*g3*t^7.616 + (3*t^7.78)/(g1^2*g2^2) + (4*g3*t^7.78)/g2 + 3*g1^2*g3^2*t^7.78 + g2^3*t^7.836 + t^7.89/(g1*g2) + g1*g3*t^7.89 + 4*t^8. + (2*t^8.)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^8. + g1*g2*t^8.11 + t^8.11/(g1*g3) + g1^2*g2^2*t^8.22 + t^8.22/(g1^2*g3^2) + (g3^2*t^8.286)/g1 + g1*g2*g3^3*t^8.286 + (g1^2*t^8.384)/g2 + t^8.384/(g1^2*g2^3*g3^2) + (2*t^8.384)/(g2^2*g3) + g2*g3^2*t^8.396 + t^8.494/(g1*g2^2*g3^2) + (g1*t^8.494)/(g2*g3) - t^8.604/(g1^2*g2^2*g3^3) - (2*t^8.604)/(g2*g3^2) - (g1^2*t^8.604)/g3 + g2^2*g3*t^8.616 + (4*t^8.67)/(g1^3*g2^3) + (4*g3*t^8.67)/(g1*g2^2) + (4*g1*g3^2*t^8.67)/g2 + 4*g1^3*g3^3*t^8.67 - (g2^2*t^8.726)/g1 - g1*g2^3*g3*t^8.726 + (4*t^8.78)/(g1^2*g2^2) + (5*g3*t^8.78)/g2 + 4*g1^2*g3^2*t^8.78 - (7*t^8.89)/(g1*g2) - (2*t^8.89)/(g1^3*g2^2*g3) - 7*g1*g3*t^8.89 - 2*g1^3*g2*g3^2*t^8.89 - t^4./y - t^5./y - (2*t^6.89)/(g1*g2*y) - (2*g1*g3*t^6.89)/y - t^7./y - (2*t^7.89)/(g1*g2*y) - (2*g1*g3*t^7.89)/y - t^8./y + t^8.78/(g1^2*g2^2*y) + (4*g3*t^8.78)/(g2*y) + (g1^2*g3^2*t^8.78)/y + t^8.89/(g1*g2*y) + (g1*g3*t^8.89)/y - t^4.*y - t^5.*y - (2*t^6.89*y)/(g1*g2) - 2*g1*g3*t^6.89*y - t^7.*y - (2*t^7.89*y)/(g1*g2) - 2*g1*g3*t^7.89*y - t^8.*y + (t^8.78*y)/(g1^2*g2^2) + (4*g3*t^8.78*y)/g2 + g1^2*g3^2*t^8.78*y + (t^8.89*y)/(g1*g2) + g1*g3*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 58106 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4771 | 1.6877 | 0.8752 | [X:[1.3333], M:[0.9634, 0.9697, 0.697], q:[0.5026, 0.4963], qb:[0.534, 0.4671], phi:[0.3333]] | t^2.09 + 2*t^2.89 + 2*t^2.91 + t^3. + t^3.89 + t^4. + t^4.09 + t^4.11 + t^4.18 + t^4.89 + t^4.91 + 2*t^4.98 + 2*t^5. + 2*t^5.09 + t^5.11 + t^5.4 + t^5.49 + t^5.5 + t^5.61 + 3*t^5.78 + 3*t^5.8 + 3*t^5.82 + 2*t^5.89 + 2*t^5.91 - 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 58154 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4437 | 1.6353 | 0.8828 | [X:[1.3333], M:[0.9346, 0.9988], q:[0.577, 0.5128], qb:[0.4885, 0.4218], phi:[0.3333]] | 2*t^2.8 + 3*t^3. + t^3.8 + 3*t^4. + t^4.2 + t^4.8 + 3*t^5. + 2*t^5.2 + 3*t^5.61 + 5*t^5.8 + 3*t^5.99 + t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
| 58155 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4494 | 1.6447 | 0.8813 | [X:[1.3333], M:[0.938, 0.938], q:[0.4651, 0.4651], qb:[0.5969, 0.4728], phi:[0.3333]] | 4*t^2.81 + t^3. + 2*t^3.81 + t^4. + 2*t^4.19 + 2*t^4.81 + 4*t^5.19 + 10*t^5.63 + 4*t^5.81 - 4*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47889 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ | 1.4548 | 1.6446 | 0.8846 | [X:[1.3333], M:[0.9634], q:[0.5183, 0.4817], qb:[0.5183, 0.4817], phi:[0.3333]] | 2*t^2.89 + 3*t^3. + t^3.89 + 3*t^4. + t^4.11 + t^4.89 + 2*t^5. + t^5.11 + 2*t^5.445 + 2*t^5.555 + 3*t^5.78 + 4*t^5.89 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail |