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 |
|---|---|---|---|---|---|---|---|---|---|
| 57290 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ | 1.1035 | 1.2191 | 0.9052 | [X:[1.5251, 1.4064], M:[0.5936], q:[0.3866, 0.9802], qb:[0.7823, 0.4262], phi:[0.2374]] | [X:[[0, 4], [0, 5]], M:[[0, -5]], q:[[-1, 10], [-1, 5]], qb:[[1, -3], [1, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{2}$ | -2 | t^2.137 + t^2.438 + t^3.151 + t^3.507 + t^3.863 + t^4.219 + t^4.274 + 2*t^4.575 + t^4.877 + 2*t^5.288 + t^5.589 + 2*t^5.616 + t^5.945 + 2*t^5.973 - 2*t^6. + 2*t^6.301 + t^6.411 + 2*t^6.657 + t^6.712 + 4*t^7.014 - t^7.069 + t^7.315 + 2*t^7.37 + t^7.425 + 4*t^7.726 - t^7.781 + t^8.027 + 2*t^8.055 + 2*t^8.082 + t^8.383 + 2*t^8.411 + t^8.438 - 2*t^8.466 + t^8.548 + 2*t^8.74 + 2*t^8.767 + t^8.794 - 2*t^8.822 + t^8.137/y^2 - t^8.849/y^2 - t^3.712/y - t^4.425/y - t^5.849/y - t^6.151/y - t^6.562/y - t^6.863/y - t^7.219/y - t^7.931/y - t^7.986/y + t^8.644/y - t^8.699/y + t^8.945/y - t^3.712*y - t^4.425*y - t^5.849*y - t^6.151*y - t^6.562*y - t^6.863*y - t^7.219*y - t^7.931*y - t^7.986*y + t^8.644*y - t^8.699*y + t^8.945*y + t^8.137*y^2 - t^8.849*y^2 | t^2.137/g2^6 + g2^10*t^2.438 + g2^8*t^3.151 + g2^7*t^3.507 + g2^6*t^3.863 + g2^5*t^4.219 + t^4.274/g2^12 + 2*g2^4*t^4.575 + g2^20*t^4.877 + 2*g2^2*t^5.288 + g2^18*t^5.589 + (g1^3*t^5.616)/g2^5 + (g2^24*t^5.616)/g1^3 + g2^17*t^5.945 + (g1^3*t^5.973)/g2^6 + (g2^23*t^5.973)/g1^3 - 2*t^6. + 2*g2^16*t^6.301 + t^6.411/g2^18 + 2*g2^15*t^6.657 + t^6.712/g2^2 + 4*g2^14*t^7.014 - t^7.069/g2^3 + g2^30*t^7.315 + 2*g2^13*t^7.37 + t^7.425/g2^4 + 4*g2^12*t^7.726 - t^7.781/g2^5 + g2^28*t^8.027 + g1^3*g2^5*t^8.055 + (g2^34*t^8.055)/g1^3 + 2*g2^11*t^8.082 + g2^27*t^8.383 + g1^3*g2^4*t^8.411 + (g2^33*t^8.411)/g1^3 + g2^10*t^8.438 - (g1^3*t^8.466)/g2^13 - (g2^16*t^8.466)/g1^3 + t^8.548/g2^24 + 2*g2^26*t^8.74 + g1^3*g2^3*t^8.767 + (g2^32*t^8.767)/g1^3 + g2^9*t^8.794 - (g1^3*t^8.822)/g2^14 - (g2^15*t^8.822)/g1^3 + t^8.137/(g2^6*y^2) - t^8.849/(g2^8*y^2) - t^3.712/(g2^2*y) - t^4.425/(g2^4*y) - t^5.849/(g2^8*y) - (g2^8*t^6.151)/y - t^6.562/(g2^10*y) - (g2^6*t^6.863)/y - (g2^5*t^7.219)/y - (g2^3*t^7.931)/y - t^7.986/(g2^14*y) + (g2*t^8.644)/y - t^8.699/(g2^16*y) + (g2^17*t^8.945)/y - (t^3.712*y)/g2^2 - (t^4.425*y)/g2^4 - (t^5.849*y)/g2^8 - g2^8*t^6.151*y - (t^6.562*y)/g2^10 - g2^6*t^6.863*y - g2^5*t^7.219*y - g2^3*t^7.931*y - (t^7.986*y)/g2^14 + g2*t^8.644*y - (t^8.699*y)/g2^16 + g2^17*t^8.945*y + (t^8.137*y^2)/g2^6 - (t^8.849*y^2)/g2^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57829 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.1097 | 1.2244 | 0.9063 | [X:[1.5409, 1.4261], M:[0.5739, 0.9183], q:[0.407, 0.9809], qb:[0.7896, 0.4452], phi:[0.2296]] | t^2.07 + t^2.56 + t^2.75 + t^3.59 + t^3.93 + t^4.13 + t^4.28 + 2*t^4.62 + t^4.82 + t^5.11 + 2*t^5.31 + t^5.51 + 2*t^5.73 - 2*t^6. - t^3.69/y - t^4.38/y - t^5.75/y - t^3.69*y - t^4.38*y - t^5.75*y | detail | |
| 57832 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1.1239 | 1.2566 | 0.8944 | [X:[1.528, 1.41], M:[0.59, 0.708], q:[0.3903, 0.9803], qb:[0.7837, 0.4297], phi:[0.236]] | 2*t^2.12 + t^2.46 + t^3.17 + t^3.52 + t^4.23 + 3*t^4.25 + 3*t^4.58 + t^4.92 + 3*t^5.29 + t^5.63 + 2*t^5.64 + t^5.65 + t^5.98 + 2*t^5.99 - 3*t^6. - t^3.71/y - t^4.42/y - (2*t^5.83)/y - t^3.71*y - t^4.42*y - 2*t^5.83*y | detail | |
| 57831 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.1186 | 1.2421 | 0.9006 | [X:[1.5351, 1.4189], M:[0.5811, 0.8135], q:[0.3995, 0.9806], qb:[0.7869, 0.4383], phi:[0.2324]] | t^2.09 + t^2.44 + t^2.51 + t^3.21 + t^3.91 + t^4.18 + t^4.26 + t^4.53 + 2*t^4.61 + t^4.88 + t^4.95 + t^5.03 + 2*t^5.3 + 2*t^5.69 + t^5.72 - 2*t^6. - t^3.7/y - t^4.39/y - t^5.79/y - t^3.7*y - t^4.39*y - t^5.79*y | detail | |
| 57828 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.0892 | 1.1894 | 0.9158 | [X:[1.5421, 1.4277], M:[0.5723, 1.1447], q:[0.4086, 0.9809], qb:[0.7901, 0.4468], phi:[0.2289]] | t^2.06 + t^3.25 + t^3.43 + t^3.6 + t^3.94 + t^4.12 + t^4.28 + t^4.63 + 2*t^5.31 + t^5.49 + 2*t^5.74 - 2*t^6. - t^3.69/y - t^4.37/y - t^5.75/y - t^3.69*y - t^4.37*y - t^5.75*y | detail | |
| 57824 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.099 | 1.2087 | 0.9092 | [X:[1.5407, 1.4259], M:[0.5741], q:[0.3764, 0.9506], qb:[0.8198, 0.4753], phi:[0.2297]] | t^2.07 + t^2.56 + t^3.24 + t^3.59 + t^3.93 + t^4.13 + t^4.28 + 2*t^4.62 + t^5.11 + 2*t^5.31 + t^5.45 + 2*t^5.8 - t^6. - t^3.69/y - t^4.38/y - t^5.76/y - t^3.69*y - t^4.38*y - t^5.76*y | detail | |
| 57827 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.1035 | 1.2187 | 0.9055 | [X:[1.5261, 1.4077], M:[0.5923], q:[0.3856, 0.9779], qb:[0.7851, 0.4297], phi:[0.2369]] | t^2.13 + t^2.45 + t^3.16 + t^3.51 + t^3.87 + t^4.22 + t^4.26 + 2*t^4.58 + t^4.89 + 2*t^5.29 + 2*t^5.6 + t^5.64 + 2*t^5.96 - t^6. - t^3.71/y - t^4.42/y - t^5.84/y - t^3.71*y - t^4.42*y - t^5.84*y | detail | |
| 57826 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.1034 | 1.2174 | 0.9064 | [X:[1.5294, 1.4118], M:[0.5882], q:[0.3922, 0.9804], qb:[0.7843, 0.4314], phi:[0.2353]] | t^2.12 + t^2.47 + t^3.18 + t^3.53 + t^3.88 + 2*t^4.24 + 2*t^4.59 + t^4.94 + 2*t^5.29 + 3*t^5.65 + t^6. - t^3.71/y - t^4.41/y - t^5.82/y - t^3.71*y - t^4.41*y - t^5.82*y | detail | {a: 86739/78608, c: 47849/39304, X1: 26/17, X2: 24/17, M1: 10/17, q1: 20/51, q2: 50/51, qb1: 40/51, qb2: 22/51, phi1: 4/17} |
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 |