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 |
|---|---|---|---|---|---|---|---|---|---|
| 57323 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.1157 | 1.2303 | 0.9068 | [X:[1.5413], M:[0.9173], q:[0.8853, 0.416], qb:[0.8853, 0.4373], phi:[0.2293]] | [X:[[0, 2]], M:[[0, -4]], q:[[-1, 1], [0, 4]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | -1 | t^2.064 + t^2.56 + t^2.752 + t^3.904 + t^3.936 + t^3.968 + t^4.128 + 2*t^4.624 + t^4.816 + t^5.12 + 2*t^5.312 + t^5.504 + t^5.808 + t^5.84 + t^5.968 - t^6. + t^6.192 + t^6.464 + t^6.496 + t^6.528 + t^6.656 + 2*t^6.688 + t^6.72 + t^6.88 + 2*t^7.184 - t^7.344 + 2*t^7.376 - t^7.408 + t^7.568 + t^7.68 + t^7.808 + t^7.84 + 3*t^7.872 + t^7.904 + t^7.936 + 2*t^8.064 + 2*t^8.256 + t^8.368 + t^8.4 + 2*t^8.528 - t^8.56 + t^8.592 - 2*t^8.752 + t^8.944 + t^8.064/y^2 - t^8.752/y^2 - t^3.688/y - t^4.376/y - t^5.752/y - t^6.248/y - (2*t^6.44)/y - t^7.128/y - t^7.592/y + t^7.624/y - t^7.656/y - (2*t^8.504)/y - t^8.808/y + t^8.968/y - t^3.688*y - t^4.376*y - t^5.752*y - t^6.248*y - 2*t^6.44*y - t^7.128*y - t^7.592*y + t^7.624*y - t^7.656*y - 2*t^8.504*y - t^8.808*y + t^8.968*y + t^8.064*y^2 - t^8.752*y^2 | t^2.064/g2^3 + g2^5*t^2.56 + t^2.752/g2^4 + g1*g2^4*t^3.904 + g2^3*t^3.936 + (g2^2*t^3.968)/g1 + t^4.128/g2^6 + 2*g2^2*t^4.624 + t^4.816/g2^7 + g2^10*t^5.12 + 2*g2*t^5.312 + t^5.504/g2^8 + g2^9*t^5.808 + (g2^8*t^5.84)/g1 + g1*g2*t^5.968 - t^6. + t^6.192/g2^9 + g1*g2^9*t^6.464 + g2^8*t^6.496 + (g2^7*t^6.528)/g1 + g1*t^6.656 + (2*t^6.688)/g2 + t^6.72/(g1*g2^2) + t^6.88/g2^10 + 2*g2^7*t^7.184 - (g1*t^7.344)/g2 + (2*t^7.376)/g2^2 - t^7.408/(g1*g2^3) + t^7.568/g2^11 + g2^15*t^7.68 + g1^2*g2^8*t^7.808 + g1*g2^7*t^7.84 + 3*g2^6*t^7.872 + (g2^5*t^7.904)/g1 + (g2^4*t^7.936)/g1^2 + (2*t^8.064)/g2^3 + (2*t^8.256)/g2^12 + g2^14*t^8.368 + (g2^13*t^8.4)/g1 + 2*g1*g2^6*t^8.528 - g2^5*t^8.56 + (g2^4*t^8.592)/g1 - (2*t^8.752)/g2^4 + t^8.944/g2^13 + t^8.064/(g2^3*y^2) - t^8.752/(g2^4*y^2) - t^3.688/(g2*y) - t^4.376/(g2^2*y) - t^5.752/(g2^4*y) - (g2^4*t^6.248)/y - (2*t^6.44)/(g2^5*y) - t^7.128/(g2^6*y) - (g1*g2^3*t^7.592)/y + (g2^2*t^7.624)/y - (g2*t^7.656)/(g1*y) - (2*t^8.504)/(g2^8*y) - (g2^9*t^8.808)/y + (g1*g2*t^8.968)/y - (t^3.688*y)/g2 - (t^4.376*y)/g2^2 - (t^5.752*y)/g2^4 - g2^4*t^6.248*y - (2*t^6.44*y)/g2^5 - (t^7.128*y)/g2^6 - g1*g2^3*t^7.592*y + g2^2*t^7.624*y - (g2*t^7.656*y)/g1 - (2*t^8.504*y)/g2^8 - g2^9*t^8.808*y + g1*g2*t^8.968*y + (t^8.064*y^2)/g2^3 - (t^8.752*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58047 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 0.9965 | 1.1126 | 0.8957 | [X:[1.4286, 1.4286], M:[1.1429], q:[0.8571, 0.1905], qb:[0.8571, 0.381], phi:[0.2857]] | t^2.57 + t^3.14 + 2*t^3.43 + t^3.71 + 3*t^4.29 + t^4.57 + 2*t^5.14 + t^5.71 - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 5469/5488, c: 3053/2744, X1: 10/7, X2: 10/7, M1: 8/7, q1: 6/7, q2: 4/21, qb1: 6/7, qb2: 8/21, phi1: 2/7} |
| 58048 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ | 1.1027 | 1.2277 | 0.8982 | [X:[1.5], M:[1.0], q:[0.875, 0.3333], qb:[0.875, 0.4167], phi:[0.25]] | 2*t^2.25 + t^3. + t^3.62 + t^3.75 + t^3.88 + 4*t^4.5 + 4*t^5.25 + t^5.38 + 2*t^5.88 + t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 9033/8192, c: 10057/8192, X1: 3/2, M1: 1, q1: 7/8, q2: 1/3, qb1: 7/8, qb2: 5/12, phi1: 1/4} |
| 58052 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.1364 | 1.2704 | 0.8945 | [X:[1.5424], M:[0.9151, 0.6864], q:[0.8856, 0.4182], qb:[0.8856, 0.4379], phi:[0.2288]] | 2*t^2.06 + t^2.57 + t^2.75 + t^3.91 + t^3.97 + 3*t^4.12 + 3*t^4.63 + 2*t^4.8 + t^5.14 + 2*t^5.31 + t^5.49 + t^5.82 + t^5.85 + 2*t^5.97 - 2*t^6. - t^3.69/y - t^4.37/y - (2*t^5.75)/y - t^3.69*y - t^4.37*y - 2*t^5.75*y | detail | |
| 58054 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.1365 | 1.2715 | 0.8938 | [X:[1.5415], M:[0.9169, 0.6738], q:[0.8888, 0.4164], qb:[0.882, 0.4374], phi:[0.2292]] | t^2.02 + t^2.06 + t^2.56 + t^2.75 + t^3.9 + t^3.94 + t^4.04 + t^4.08 + t^4.13 + t^4.58 + 2*t^4.62 + t^4.77 + t^4.81 + t^5.12 + 2*t^5.31 + t^5.5 + t^5.81 + t^5.85 + t^5.92 + 2*t^5.96 - t^6. - t^3.69/y - t^4.38/y - t^5.71/y - t^5.75/y - t^3.69*y - t^4.38*y - t^5.71*y - t^5.75*y | detail | |
| 58051 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.1363 | 1.2702 | 0.8946 | [X:[1.5429], M:[0.9141, 0.6859], q:[0.8766, 0.4192], qb:[0.8948, 0.4381], phi:[0.2285]] | 2*t^2.06 + t^2.57 + t^2.74 + 2*t^3.94 + 2*t^4.11 + t^4.12 + 3*t^4.63 + 2*t^4.8 + t^5.14 + 2*t^5.31 + t^5.48 + 2*t^5.83 + t^6. - t^3.69/y - t^4.37/y - (2*t^5.74)/y - t^3.69*y - t^4.37*y - 2*t^5.74*y | detail | |
| 58050 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1149 | 1.2277 | 0.9081 | [X:[1.5488], M:[0.9024], q:[0.9126, 0.4309], qb:[0.8618, 0.4411], phi:[0.2256]] | t^2.03 + t^2.62 + t^2.71 + t^3.88 + t^3.97 + 2*t^4.06 + 2*t^4.65 + t^4.74 + t^5.23 + 2*t^5.32 + t^5.41 + 2*t^5.91 - t^3.68/y - t^4.35/y - t^5.71/y - t^3.68*y - t^4.35*y - t^5.71*y | detail | |
| 58045 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8703 | 0.9399 | 0.926 | [X:[1.6158, 1.4237], M:[0.7685], q:[1.5254, 0.5649], qb:[0.2824, 0.4746], phi:[0.1921]] | t^2.31 + t^2.54 + t^3.12 + 2*t^4.27 + t^4.61 + 2*t^4.85 + t^5.08 + t^5.42 + t^5.66 - 2*t^6. - t^3.58/y - t^4.15/y - t^5.88/y - t^3.58*y - t^4.15*y - t^5.88*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47880 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.1092 | 1.2232 | 0.9068 | [X:[1.5292], q:[0.8823, 0.3918], qb:[0.8823, 0.4313], phi:[0.2354]] | t^2.118 + t^2.469 + t^3.175 + t^3.822 + t^3.882 + t^3.941 + t^4.237 + 2*t^4.588 + t^4.939 + 2*t^5.294 + 2*t^5.645 + t^5.704 + t^5.941 - t^6. - t^3.706/y - t^4.412/y - t^5.825/y - t^3.706*y - t^4.412*y - t^5.825*y | detail |