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 |
|---|---|---|---|---|---|---|---|---|---|
| 47945 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3256 | 1.4774 | 0.8973 | [X:[1.4286], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] | [X:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 7275/5488, c: 2027/1372, X1: 10/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1 | 2*t^2.571 + 3*t^3.429 + 5*t^4.286 + 4*t^5.143 + 2*t^5.571 + t^6. + 6*t^6.429 + 9*t^6.857 + 17*t^7.714 - 4*t^8.143 + 15*t^8.571 + t^8.571/y^2 - t^3.857/y - t^4.714/y - (2*t^6.429)/y - (4*t^7.286)/y - (3*t^8.143)/y - t^3.857*y - t^4.714*y - 2*t^6.429*y - 4*t^7.286*y - 3*t^8.143*y + t^8.571*y^2 | 2*t^2.571 + t^3.429 + (g1*t^3.429)/g2 + (g2*t^3.429)/g1 + 3*t^4.286 + (g1*t^4.286)/g2 + (g2*t^4.286)/g1 + 4*t^5.143 + t^5.571/(g1*g2^2) + g1*g2^2*t^5.571 - t^6. + (g1*t^6.)/g2 + (g2*t^6.)/g1 + t^6.429/g2^3 + t^6.429/(g1*g2^2) + t^6.429/(g1^2*g2) + g1^2*g2*t^6.429 + g1*g2^2*t^6.429 + g2^3*t^6.429 + 5*t^6.857 + (g1^2*t^6.857)/g2^2 + (g1*t^6.857)/g2 + (g2*t^6.857)/g1 + (g2^2*t^6.857)/g1^2 + 9*t^7.714 + (g1^2*t^7.714)/g2^2 + (3*g1*t^7.714)/g2 + (3*g2*t^7.714)/g1 + (g2^2*t^7.714)/g1^2 - t^8.143/g2^3 - t^8.143/(g1^2*g2) - g1^2*g2*t^8.143 - g2^3*t^8.143 + 5*t^8.571 + (g1^2*t^8.571)/g2^2 + (4*g1*t^8.571)/g2 + (4*g2*t^8.571)/g1 + (g2^2*t^8.571)/g1^2 + t^8.571/y^2 - t^3.857/y - t^4.714/y - (2*t^6.429)/y - (2*t^7.286)/y - (g1*t^7.286)/(g2*y) - (g2*t^7.286)/(g1*y) - t^8.143/y - (g1*t^8.143)/(g2*y) - (g2*t^8.143)/(g1*y) - t^3.857*y - t^4.714*y - 2*t^6.429*y - 2*t^7.286*y - (g1*t^7.286*y)/g2 - (g2*t^7.286*y)/g1 - t^8.143*y - (g1*t^8.143*y)/g2 - (g2*t^8.143*y)/g1 + t^8.571*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 |
|---|---|---|---|---|---|---|---|---|
| 57703 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3382 | 1.4989 | 0.8928 | [X:[1.4286], M:[0.8571], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] | 3*t^2.57 + 2*t^3.43 + 5*t^4.29 + 7*t^5.14 + 2*t^5.57 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 459/343, c: 4113/2744, X1: 10/7, M1: 6/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
| 57702 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3158 | 1.4676 | 0.8966 | [X:[1.4286], M:[], q:[0.7619, 0.4762], qb:[0.6667, 0.381], phi:[0.2857]] | 2*t^2.57 + 3*t^3.43 + 5*t^4.29 + 5*t^5.14 + 5*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 7221/5488, c: 4027/2744, X1: 10/7, q1: 16/21, q2: 10/21, qb1: 2/3, qb2: 8/21, phi1: 2/7} |
| 57701 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 0.9927 | 1.1177 | 0.8882 | [X:[1.4286, 1.4286], M:[], q:[0.3333, 0.619], qb:[1.0952, 0.2381], phi:[0.2857]] | 3*t^2.57 + t^3.43 + 3*t^4.29 + 2*t^4.71 + 6*t^5.14 + 2*t^5.57 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 681/686, c: 3067/2744, X1: 10/7, X2: 10/7, q1: 1/3, q2: 13/21, qb1: 23/21, qb2: 5/21, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47872 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.33 | 1.4939 | 0.8903 | [X:[1.3964], q:[0.6982, 0.3964], qb:[0.6982, 0.3964], phi:[0.3018]] | t^2.378 + t^2.716 + 3*t^3.284 + 5*t^4.189 + t^4.757 + 2*t^5.095 + 2*t^5.378 + t^5.433 + 3*t^5.662 - 2*t^6. - t^3.905/y - t^4.811/y - t^3.905*y - t^4.811*y | detail |