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 |
|---|---|---|---|---|---|---|---|---|---|
| 57484 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.2331 | 1.4401 | 0.8563 | [X:[1.4718], M:[0.8962], q:[0.7389, 0.2107], qb:[0.5252, 0.3176], phi:[0.3679]] | [X:[[0, 4]], M:[[0, -3]], q:[[-1, -8], [-1, -4]], qb:[[1, 6], [1, 0]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 3 | 2*t^2.21 + 2*t^2.69 + t^3.17 + t^3.31 + 2*t^3.79 + t^4.27 + 4*t^4.42 + 2*t^4.58 + 5*t^4.9 + 2*t^5.21 + 5*t^5.38 + t^5.52 + 2*t^5.69 + 2*t^5.86 + 3*t^6. + 2*t^6.17 + t^6.34 + 5*t^6.48 + 5*t^6.62 + 4*t^6.79 + 4*t^6.96 + 8*t^7.1 + 4*t^7.27 + 2*t^7.42 + t^7.44 + 12*t^7.58 + t^7.73 + 2*t^7.75 + 4*t^7.9 + 10*t^8.07 + 3*t^8.21 + 8*t^8.38 + 6*t^8.55 + 4*t^8.69 + 6*t^8.83 + 6*t^8.86 - t^4.1/y - t^5.21/y - (2*t^6.31)/y - t^6.79/y - t^7.27/y - t^7.42/y + (2*t^7.9)/y + (2*t^8.38)/y - (2*t^8.52)/y + (2*t^8.86)/y - t^4.1*y - t^5.21*y - 2*t^6.31*y - t^6.79*y - t^7.27*y - t^7.42*y + 2*t^7.9*y + 2*t^8.38*y - 2*t^8.52*y + 2*t^8.86*y | 2*g2^2*t^2.21 + (2*t^2.69)/g2^3 + t^3.17/g2^8 + g2^3*t^3.31 + (2*t^3.79)/g2^2 + t^4.27/g2^7 + 4*g2^4*t^4.42 + t^4.58/(g1^3*g2^15) + g1^3*g2^7*t^4.58 + (5*t^4.9)/g2 + t^5.21/(g1^3*g2^9) + g1^3*g2^13*t^5.21 + (5*t^5.38)/g2^6 + g2^5*t^5.52 + t^5.69/(g1^3*g2^14) + g1^3*g2^8*t^5.69 + (2*t^5.86)/g2^11 + 3*t^6. + t^6.17/(g1^3*g2^19) + g1^3*g2^3*t^6.17 + t^6.34/g2^16 + (5*t^6.48)/g2^5 + 5*g2^6*t^6.62 + (2*t^6.79)/(g1^3*g2^13) + 2*g1^3*g2^9*t^6.79 + (4*t^6.96)/g2^10 + 8*g2*t^7.1 + (2*t^7.27)/(g1^3*g2^18) + 2*g1^3*g2^4*t^7.27 + t^7.42/(g1^3*g2^7) + g1^3*g2^15*t^7.42 + t^7.44/g2^15 + (12*t^7.58)/g2^4 + g2^7*t^7.73 + t^7.75/(g1^3*g2^23) + (g1^3*t^7.75)/g2 + (2*t^7.9)/(g1^3*g2^12) + 2*g1^3*g2^10*t^7.9 + (10*t^8.07)/g2^9 + 3*g2^2*t^8.21 + (4*t^8.38)/(g1^3*g2^17) + 4*g1^3*g2^5*t^8.38 + (6*t^8.55)/g2^14 + (4*t^8.69)/g2^3 + 6*g2^8*t^8.83 + 3*g1^3*t^8.86 + (3*t^8.86)/(g1^3*g2^22) - (g2*t^4.1)/y - (g2^2*t^5.21)/y - (2*g2^3*t^6.31)/y - t^6.79/(g2^2*y) - t^7.27/(g2^7*y) - (g2^4*t^7.42)/y + (2*t^7.9)/(g2*y) + (2*t^8.38)/(g2^6*y) - (2*g2^5*t^8.52)/y + (2*t^8.86)/(g2^11*y) - g2*t^4.1*y - g2^2*t^5.21*y - 2*g2^3*t^6.31*y - (t^6.79*y)/g2^2 - (t^7.27*y)/g2^7 - g2^4*t^7.42*y + (2*t^7.9*y)/g2 + (2*t^8.38*y)/g2^6 - 2*g2^5*t^8.52*y + (2*t^8.86*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59378 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.2323 | 1.4369 | 0.8576 | [X:[1.4545], M:[0.9091], q:[0.7576, 0.2121], qb:[0.5152, 0.3333], phi:[0.3636]] | 2*t^2.18 + 2*t^2.73 + 2*t^3.27 + 2*t^3.82 + 5*t^4.36 + 2*t^4.64 + 5*t^4.91 + 2*t^5.18 + 6*t^5.45 + 2*t^5.73 + 5*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 6561/5324, c: 3825/2662, X1: 16/11, M1: 10/11, q1: 25/33, q2: 7/33, qb1: 17/33, qb2: 1/3, phi1: 4/11} |
| 59390 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.2413 | 1.4513 | 0.8553 | [X:[1.4393], M:[0.9206, 0.8785], q:[0.7741, 0.2134], qb:[0.5062, 0.3473], phi:[0.3598]] | 2*t^2.16 + t^2.64 + 2*t^2.76 + t^3.24 + 2*t^3.84 + 4*t^4.32 + t^4.44 + 2*t^4.68 + 2*t^4.79 + 5*t^4.92 + 2*t^5.16 + t^5.27 + 3*t^5.4 + 3*t^5.52 + 2*t^5.76 + t^5.87 + 3*t^6. - t^4.08/y - t^5.16/y - t^4.08*y - t^5.16*y | detail | |
| 58773 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1288 | 1.3214 | 0.8543 | [X:[1.3692], M:[0.9731], q:[0.9731, 0.3423], qb:[0.3423, 0.2885], phi:[0.3423]] | 2*t^2.05 + 2*t^2.92 + t^3.08 + 2*t^3.78 + 3*t^3.95 + 4*t^4.11 + 2*t^4.81 + 5*t^4.97 + t^5.13 + t^5.68 + 7*t^5.84 + 5*t^6. - t^4.03/y - t^5.05/y - t^4.03*y - t^5.05*y | detail | |
| 60580 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.2273 | 1.4318 | 0.8571 | [X:[1.4545], M:[0.9091], q:[0.7273, 0.1818], qb:[0.5455, 0.3636], phi:[0.3636]] | 2*t^2.18 + 2*t^2.73 + 2*t^3.27 + 2*t^3.82 + 6*t^4.36 + 7*t^4.91 + 8*t^5.45 + 7*t^6. - t^4.09/y - t^5.18/y - t^4.09*y - t^5.18*y | detail | {a: 27/22, c: 63/44, X1: 16/11, M1: 10/11, q1: 8/11, q2: 2/11, qb1: 6/11, qb2: 4/11, phi1: 4/11} |
| 58979 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ | 1.1915 | 1.402 | 0.8498 | [X:[1.497], M:[0.8773], q:[0.7954, 0.2924], qb:[0.4561, 0.2106], phi:[0.3742]] | 2*t^2.25 + 2*t^2.63 + t^3.02 + t^3.37 + 3*t^3.75 + t^4.14 + 5*t^4.49 + 6*t^4.88 + 7*t^5.26 + t^5.61 + 2*t^5.65 + 6*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47909 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4751 | 1.6878 | 0.874 | [M:[0.9839], q:[0.4918, 0.4918], qb:[0.5082, 0.476], phi:[0.3387]] | t^2.032 + 2*t^2.904 + t^2.952 + 2*t^3. + 2*t^3.92 + 2*t^4.016 + t^4.064 + 4*t^4.936 + t^4.984 + 4*t^5.032 + t^5.397 + 2*t^5.443 + t^5.493 + 3*t^5.807 + 2*t^5.855 + 4*t^5.904 + 4*t^5.952 - 3*t^6. - t^4.016/y - t^5.032/y - t^4.016*y - t^5.032*y | detail |