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 |
|---|---|---|---|---|---|---|---|---|---|
| 57965 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3997 | 1.5604 | 0.897 | [X:[1.4286], M:[0.7143, 1.1429], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | [X:[[0, 0]], M:[[0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 15363/10976, c: 17127/10976, X1: 10/7, M1: 5/7, M2: 8/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}$ | -2 | t^2.14 + t^3. + 3*t^3.43 + t^3.86 + 4*t^4.29 + 2*t^4.71 + 3*t^5.14 + 2*t^5.57 + 2*t^5.79 - 2*t^6. + 2*t^6.21 + 3*t^6.43 + 2*t^6.64 + 6*t^6.86 + 4*t^7.07 + 5*t^7.29 + 12*t^7.71 + 7*t^8.14 - 2*t^8.36 + 16*t^8.57 - 4*t^8.79 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6./y - (2*t^6.86)/y - (3*t^7.29)/y - t^7.71/y - (3*t^8.14)/y + (2*t^8.57)/y - t^3.86*y - t^4.71*y - t^6.*y - 2*t^6.86*y - 3*t^7.29*y - t^7.71*y - 3*t^8.14*y + 2*t^8.57*y + t^8.57*y^2 | t^2.14 + t^3. + t^3.43 + (g1*t^3.43)/g2 + (g2*t^3.43)/g1 + t^3.86 + 2*t^4.29 + (g1*t^4.29)/g2 + (g2*t^4.29)/g1 + 2*t^4.71 + t^5.14 + (g1*t^5.14)/g2 + (g2*t^5.14)/g1 + 2*t^5.57 + t^5.79/(g1^2*g2) + g1^2*g2*t^5.79 - 2*t^6. + t^6.21/(g1*g2^2) + g1*g2^2*t^6.21 + 3*t^6.43 + t^6.64/(g1^2*g2) + g1^2*g2*t^6.64 + 2*t^6.86 + (g1^2*t^6.86)/g2^2 + (g1*t^6.86)/g2 + (g2*t^6.86)/g1 + (g2^2*t^6.86)/g1^2 + t^7.07/g1^3 + g1^3*t^7.07 + t^7.07/(g1*g2^2) + g1*g2^2*t^7.07 + 3*t^7.29 + (g1*t^7.29)/g2 + (g2*t^7.29)/g1 - t^7.5/(g1*g2^2) + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 - g1*g2^2*t^7.5 + 6*t^7.71 + (g1^2*t^7.71)/g2^2 + (2*g1*t^7.71)/g2 + (2*g2*t^7.71)/g1 + (g2^2*t^7.71)/g1^2 + t^7.93/(g1*g2^2) - t^7.93/(g1^2*g2) - g1^2*g2*t^7.93 + g1*g2^2*t^7.93 + t^8.14 + (3*g1*t^8.14)/g2 + (3*g2*t^8.14)/g1 - t^8.36/g1^3 - g1^3*t^8.36 + t^8.36/g2^3 - t^8.36/(g1*g2^2) - g1*g2^2*t^8.36 + g2^3*t^8.36 + 10*t^8.57 + (2*g1^2*t^8.57)/g2^2 + (g1*t^8.57)/g2 + (g2*t^8.57)/g1 + (2*g2^2*t^8.57)/g1^2 - t^8.79/g2^3 - t^8.79/(g1^2*g2) - g1^2*g2*t^8.79 - g2^3*t^8.79 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6./y - (2*t^6.86)/y - t^7.29/y - (g1*t^7.29)/(g2*y) - (g2*t^7.29)/(g1*y) - t^7.71/y - t^8.14/y - (g1*t^8.14)/(g2*y) - (g2*t^8.14)/(g1*y) + (g1*t^8.57)/(g2*y) + (g2*t^8.57)/(g1*y) - t^3.86*y - t^4.71*y - t^6.*y - 2*t^6.86*y - t^7.29*y - (g1*t^7.29*y)/g2 - (g2*t^7.29*y)/g1 - t^7.71*y - t^8.14*y - (g1*t^8.14*y)/g2 - (g2*t^8.14*y)/g1 + (g1*t^8.57*y)/g2 + (g2*t^8.57*y)/g1 + t^8.57*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 61247 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3136 | 1.4743 | 0.891 | [X:[1.4286], M:[0.7143, 1.1429], q:[0.381, 0.8095], qb:[0.619, 0.4762], phi:[0.2857]] | t^2.14 + t^2.57 + t^3. + 2*t^3.43 + t^3.86 + 4*t^4.29 + 2*t^4.71 + 3*t^5.14 + 4*t^5.57 + 3*t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 7209/5488, c: 8091/5488, X1: 10/7, M1: 5/7, M2: 8/7, q1: 8/21, q2: 17/21, qb1: 13/21, qb2: 10/21, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57297 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4123 | 1.5819 | 0.8928 | [X:[1.4286], M:[0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | t^2.143 + t^2.571 + t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 2*t^5.571 + 2*t^5.786 - t^3.857/y - t^4.714/y - t^6./y - t^3.857*y - t^4.714*y - t^6.*y | detail | {a: 15501/10976, c: 17363/10976, X1: 10/7, M1: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |