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 |
---|---|---|---|---|---|---|---|---|---|
57748 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9904 | 1.0535 | 0.9401 | [X:[1.598, 1.397], M:[1.005], q:[0.4305, 1.2345], qb:[0.5645, 0.5645], phi:[0.201]] | [X:[[0, 2], [0, 3]], M:[[0, -5]], q:[[-1, 5], [-1, 1]], qb:[[1, 0], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | t^2.98 + t^3.02 + t^3.59 + 2*t^4.19 + 2*t^5.4 + 2*t^5.68 + t^5.97 - 3*t^6. + t^6.03 + t^6.57 + 2*t^6.89 + 3*t^7.18 - 2*t^7.49 + 2*t^7.78 + 3*t^7.81 - 2*t^8.1 + 3*t^8.38 + 2*t^8.41 + 2*t^8.67 - 2*t^8.7 + t^8.95 - 2*t^8.98 + t^7.81/y^2 - t^3.6/y - t^4.21/y - t^6.59/y - t^6.62/y - t^7.22/y - (2*t^7.79)/y - t^3.6*y - t^4.21*y - t^6.59*y - t^6.62*y - t^7.22*y - 2*t^7.79*y + t^7.81*y^2 | g2^5*t^2.98 + t^3.02/g2^5 + g2^4*t^3.59 + 2*g2^3*t^4.19 + 2*g2*t^5.4 + (g1^3*t^5.68)/g2 + (g2^12*t^5.68)/g1^3 + g2^10*t^5.97 - 3*t^6. + t^6.03/g2^10 + g2^9*t^6.57 + (g1^3*t^6.89)/g2^3 + (g2^10*t^6.89)/g1^3 + 3*g2^8*t^7.18 - (g1^3*t^7.49)/g2^4 - (g2^9*t^7.49)/g1^3 + 2*g2^7*t^7.78 + (3*t^7.81)/g2^3 - (g1^3*t^8.1)/g2^5 - (g2^8*t^8.1)/g1^3 + 3*g2^6*t^8.38 + (2*t^8.41)/g2^4 + g1^3*g2^4*t^8.67 + (g2^17*t^8.67)/g1^3 - (g1^3*t^8.7)/g2^6 - (g2^7*t^8.7)/g1^3 + g2^15*t^8.95 - 2*g2^5*t^8.98 + t^7.81/(g2^3*y^2) - t^3.6/(g2*y) - t^4.21/(g2^2*y) - (g2^4*t^6.59)/y - t^6.62/(g2^6*y) - t^7.22/(g2^7*y) - (2*g2^2*t^7.79)/y - (t^3.6*y)/g2 - (t^4.21*y)/g2^2 - g2^4*t^6.59*y - (t^6.62*y)/g2^6 - (t^7.22*y)/g2^7 - 2*g2^2*t^7.79*y + (t^7.81*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
58585 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}M_{2}$ | 0.9934 | 1.0667 | 0.9312 | [X:[1.5768, 1.3652], M:[1.0579, 0.9421], q:[0.4005, 1.2469], qb:[0.5416, 0.5416], phi:[0.2116]] | 2*t^2.83 + t^3.46 + 2*t^4.1 + 2*t^5.37 + 2*t^5.51 + 3*t^5.65 - 4*t^6. - t^3.63/y - t^4.27/y - t^3.63*y - t^4.27*y | detail | |
59028 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 0.9925 | 1.0519 | 0.9435 | [X:[1.6196, 1.4293], M:[0.9511, 0.9511], q:[0.4611, 1.2219], qb:[0.5879, 0.5879], phi:[0.1902]] | 2*t^2.85 + t^3.72 + 2*t^4.29 + 2*t^5.43 + 3*t^5.71 + 2*t^5.86 - 4*t^6. - t^3.57/y - t^4.14/y - t^3.57*y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
47942 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.1311 | 1.2662 | 0.8933 | [X:[1.5234], M:[0.6981], q:[0.407, 0.8669], qb:[0.8948, 0.4015], phi:[0.2383]] | t^2.094 + t^2.145 + t^2.426 + t^3.14 + t^3.805 + t^3.855 + t^4.189 + t^4.239 + t^4.289 + t^4.52 + 2*t^4.57 + t^4.851 + t^5.235 + 2*t^5.285 + t^5.566 + 2*t^5.758 + 2*t^5.808 + t^5.899 + t^5.95 - 2*t^6. - t^3.715/y - t^4.43/y - t^5.809/y - t^5.86/y - t^3.715*y - t^4.43*y - t^5.809*y - t^5.86*y | detail |