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 |
|---|---|---|---|---|---|---|---|---|---|
| 57298 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4062 | 1.6221 | 0.8669 | [X:[1.2727], M:[0.9091], q:[0.3636, 0.5455], qb:[0.3636, 0.5455], phi:[0.3636]] | [X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 14973/10648, c: 2159/1331, X1: 14/11, M1: 10/11, q1: 4/11, q2: 6/11, qb1: 4/11, qb2: 6/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}X_{1}$ | 7 | t^2.182 + 3*t^2.727 + 2*t^3.273 + 3*t^3.818 + 3*t^4.364 + 7*t^4.909 + 9*t^5.455 + 7*t^6. + 15*t^6.545 + 15*t^7.091 + 22*t^7.636 + 26*t^8.182 + 22*t^8.727 - t^4.091/y - t^5.182/y - t^6.273/y - (3*t^6.818)/y - (2*t^7.364)/y + (2*t^8.455)/y - t^4.091*y - t^5.182*y - t^6.273*y - 3*t^6.818*y - 2*t^7.364*y + 2*t^8.455*y | t^2.182 + t^2.727 + (g1*t^2.727)/g2 + (g2*t^2.727)/g1 + 2*t^3.273 + t^3.818 + (g1*t^3.818)/g2 + (g2*t^3.818)/g1 + 3*t^4.364 + t^4.909 + t^4.909/(g1^2*g2) + (2*g1*t^4.909)/g2 + (2*g2*t^4.909)/g1 + g1^2*g2*t^4.909 + 5*t^5.455 + t^5.455/(g1*g2^2) + (g1^2*t^5.455)/g2^2 + (g2^2*t^5.455)/g1^2 + g1*g2^2*t^5.455 - t^6. + t^6./(g1^2*g2) + (3*g1*t^6.)/g2 + (3*g2*t^6.)/g1 + g1^2*g2*t^6. + 9*t^6.545 + t^6.545/g1^3 + g1^3*t^6.545 + t^6.545/(g1*g2^2) + (g1^2*t^6.545)/g2^2 + (g2^2*t^6.545)/g1^2 + g1*g2^2*t^6.545 + t^7.091 - t^7.091/(g1*g2^2) + (2*t^7.091)/(g1^2*g2) + (6*g1*t^7.091)/g2 + (6*g2*t^7.091)/g1 + 2*g1^2*g2*t^7.091 - g1*g2^2*t^7.091 + 12*t^7.636 + t^7.636/g1^3 + g1^3*t^7.636 + (3*t^7.636)/(g1*g2^2) + (3*g1^2*t^7.636)/g2^2 - t^7.636/(g1^2*g2) - (g1*t^7.636)/g2 - (g2*t^7.636)/g1 - g1^2*g2*t^7.636 + (3*g2^2*t^7.636)/g1^2 + 3*g1*g2^2*t^7.636 - 2*t^8.182 - t^8.182/g1^3 - g1^3*t^8.182 + (2*t^8.182)/g2^3 + (g1^3*t^8.182)/g2^3 - t^8.182/(g1*g2^2) + (4*t^8.182)/(g1^2*g2) + (9*g1*t^8.182)/g2 + (9*g2*t^8.182)/g1 + 4*g1^2*g2*t^8.182 - g1*g2^2*t^8.182 + 2*g2^3*t^8.182 + (g2^3*t^8.182)/g1^3 + 16*t^8.727 + (3*t^8.727)/g1^3 + 3*g1^3*t^8.727 - t^8.727/g2^3 + (4*t^8.727)/(g1*g2^2) + (4*g1^2*t^8.727)/g2^2 - (2*t^8.727)/(g1^2*g2) - (5*g1*t^8.727)/g2 - (5*g2*t^8.727)/g1 - 2*g1^2*g2*t^8.727 + (4*g2^2*t^8.727)/g1^2 + 4*g1*g2^2*t^8.727 - g2^3*t^8.727 - t^4.091/y - t^5.182/y - t^6.273/y - t^6.818/y - (g1*t^6.818)/(g2*y) - (g2*t^6.818)/(g1*y) - (2*t^7.364)/y + (g1*t^8.455)/(g2*y) + (g2*t^8.455)/(g1*y) - t^4.091*y - t^5.182*y - t^6.273*y - t^6.818*y - (g1*t^6.818*y)/g2 - (g2*t^6.818*y)/g1 - 2*t^7.364*y + (g1*t^8.455*y)/g2 + (g2*t^8.455*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57991 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4262 | 1.6598 | 0.8593 | [X:[1.2727], M:[0.9091, 0.7174], q:[0.3595, 0.5512], qb:[0.3677, 0.5397], phi:[0.3636]] | t^2.15 + t^2.18 + t^2.7 + t^2.73 + t^2.76 + 2*t^3.27 + t^3.79 + t^3.82 + t^4.3 + t^4.33 + 3*t^4.36 + t^4.85 + 3*t^4.88 + t^4.9 + 2*t^4.91 + t^4.92 + 2*t^4.94 + t^5.4 + 3*t^5.43 + 5*t^5.45 + t^5.48 + t^5.51 + t^5.94 + 4*t^5.97 + t^5.99 - t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | |
| 57992 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}X_{1}$ | 1.426 | 1.659 | 0.8596 | [X:[1.2727], M:[0.9091, 0.7273], q:[0.3636, 0.5455], qb:[0.3636, 0.5455], phi:[0.3636]] | 2*t^2.18 + 3*t^2.73 + 2*t^3.27 + 2*t^3.82 + 5*t^4.36 + 10*t^4.91 + 11*t^5.45 + 8*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 30369/21296, c: 17665/10648, X1: 14/11, M1: 10/11, M2: 8/11, q1: 4/11, q2: 6/11, qb1: 4/11, qb2: 6/11, phi1: 4/11} |
| 57986 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3273 | 1.5432 | 0.8601 | [X:[1.2727], M:[0.9091], q:[0.4983, 0.6397], qb:[0.229, 0.4512], phi:[0.3636]] | t^2.18 + t^2.61 + t^2.73 + t^2.85 + 2*t^3.27 + t^3.7 + 2*t^3.82 + t^3.94 + 3*t^4.36 + t^4.48 + 2*t^4.79 + 2*t^4.91 + 2*t^5.03 + t^5.21 + t^5.33 + 5*t^5.45 + t^5.58 + t^5.7 + 3*t^5.88 + 2*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 14133/10648, c: 2054/1331, X1: 14/11, M1: 10/11, q1: 148/297, q2: 190/297, qb1: 68/297, qb2: 134/297, phi1: 4/11} |
| 57989 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 1.3951 | 1.611 | 0.866 | [X:[1.2727], M:[0.9091], q:[0.3258, 0.5985], qb:[0.4015, 0.4924], phi:[0.3636]] | t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + t^4.84 + 2*t^4.91 + t^4.98 + 2*t^5.18 + t^5.25 + 5*t^5.45 + t^5.66 + 3*t^5.73 + t^5.93 + t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 118839/85184, c: 137231/85184, X1: 14/11, M1: 10/11, q1: 43/132, q2: 79/132, qb1: 53/132, qb2: 65/132, phi1: 4/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y | detail |