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 |
---|---|---|---|---|---|---|---|---|---|
58045 | SU3adj1nf2 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 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]] | [X:[[2], [3]], M:[[-4]], q:[[-1], [4]], qb:[[2], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | 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^6.24 + 3*t^6.81 + t^6.92 + t^7.15 + 4*t^7.39 + t^7.63 + t^7.73 + t^7.97 + t^8.2 - t^8.31 + t^8.78 - t^8.88 + t^7.73/y^2 - t^8.88/y^2 - t^3.58/y - t^4.15/y - t^5.88/y - t^6.12/y - t^6.46/y - t^6.69/y + t^7.85/y - t^8.19/y - t^8.42/y - t^8.76/y - t^3.58*y - t^4.15*y - t^5.88*y - t^6.12*y - t^6.46*y - t^6.69*y + t^7.85*y - t^8.19*y - t^8.42*y - t^8.76*y + t^7.73*y^2 - t^8.88*y^2 | t^2.31/g1^4 + g1^6*t^2.54 + g1^5*t^3.12 + 2*g1^3*t^4.27 + t^4.61/g1^8 + 2*g1^2*t^4.85 + g1^12*t^5.08 + g1*t^5.42 + g1^11*t^5.66 - 2*t^6. + g1^10*t^6.24 + 3*g1^9*t^6.81 + t^6.92/g1^12 + t^7.15/g1^2 + 4*g1^8*t^7.39 + g1^18*t^7.63 + t^7.73/g1^3 + g1^7*t^7.97 + g1^17*t^8.2 - t^8.31/g1^4 + g1^16*t^8.78 - t^8.88/g1^5 + t^7.73/(g1^3*y^2) - t^8.88/(g1^5*y^2) - t^3.58/(g1*y) - t^4.15/(g1^2*y) - t^5.88/(g1^5*y) - (g1^5*t^6.12)/y - t^6.46/(g1^6*y) - (g1^4*t^6.69)/y + (g1^2*t^7.85)/y - t^8.19/(g1^9*y) - (g1*t^8.42)/y - t^8.76/(g1^10*y) - (t^3.58*y)/g1 - (t^4.15*y)/g1^2 - (t^5.88*y)/g1^5 - g1^5*t^6.12*y - (t^6.46*y)/g1^6 - g1^4*t^6.69*y + g1^2*t^7.85*y - (t^8.19*y)/g1^9 - g1*t^8.42*y - (t^8.76*y)/g1^10 + (t^7.73*y^2)/g1^3 - (t^8.88*y^2)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
60953 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.8758 | 0.9448 | 0.9269 | [X:[1.6318, 1.4477], M:[0.7364, 0.9205], q:[1.5174, 0.597], qb:[0.2985, 0.4826], phi:[0.1841]] | t^2.21 + t^2.69 + t^2.76 + 2*t^4.34 + t^4.42 + 2*t^4.9 + t^4.97 + t^5.37 + t^5.45 + t^5.52 - 2*t^6. - t^3.55/y - t^4.1/y - t^5.76/y - t^3.55*y - t^4.1*y - t^5.76*y | detail | |
61031 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.8673 | 0.9298 | 0.9328 | [X:[1.6364, 1.4545], M:[0.7273], q:[1.5152, 0.6061], qb:[0.303, 0.4848], phi:[0.1818]] | t^2.18 + t^2.73 + t^3.27 + 3*t^4.36 + 2*t^4.91 + 2*t^5.45 - t^6. - t^3.55/y - t^4.09/y - t^5.73/y - t^3.55*y - t^4.09*y - t^5.73*y | detail | {a: 18471/21296, c: 9901/10648, X1: 18/11, X2: 16/11, M1: 8/11, q1: 50/33, q2: 20/33, qb1: 10/33, qb2: 16/33, phi1: 2/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^3.688/y - t^4.376/y - t^5.752/y - t^3.688*y - t^4.376*y - t^5.752*y | detail |