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 |
---|---|---|---|---|---|---|---|---|---|
60490 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.988 | 1.1954 | 0.8265 | [X:[1.5276, 1.4724, 1.5276, 1.4724], M:[0.9724, 0.7085], q:[0.227, 0.2822], qb:[0.2454, 0.2454], phi:[0.5]] | [X:[[0, -1], [0, 1], [0, -1], [0, 1]], M:[[0, 1], [3, 1]], q:[[-1, 1], [-1, -1]], qb:[[1, 0], [1, 0]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{4}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{3}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$ | -3 | t^2.13 + 3*t^2.92 + t^3. + t^3.08 + 3*t^3.71 + t^4.25 + 4*t^4.42 + t^4.5 + 4*t^4.58 + 3*t^5.04 + t^5.13 + 4*t^5.21 + t^5.37 + 8*t^5.83 + t^5.92 - 3*t^6. - t^6.08 + t^6.38 + 5*t^6.54 + 8*t^6.63 + 9*t^6.71 - 3*t^6.79 + t^7.04 + 3*t^7.17 + t^7.25 + 15*t^7.33 + 9*t^7.42 + 12*t^7.5 + t^7.58 + 3*t^7.67 + 8*t^7.96 + 6*t^8.13 - 3*t^8.21 + 2*t^8.29 - t^8.37 - 3*t^8.46 + t^8.5 - t^8.54 + 5*t^8.67 + 15*t^8.75 + 17*t^8.83 - 11*t^8.92 - t^4.5/y - t^6./y - t^6.63/y - t^7.42/y + t^7.5/y + t^7.58/y + (3*t^8.04)/y + t^8.21/y + t^8.37/y - t^8.75/y + (6*t^8.83)/y - (2*t^8.92)/y - t^4.5*y - t^6.*y - t^6.63*y - t^7.42*y + t^7.5*y + t^7.58*y + 3*t^8.04*y + t^8.21*y + t^8.37*y - t^8.75*y + 6*t^8.83*y - 2*t^8.92*y | g1^3*g2*t^2.13 + 3*g2*t^2.92 + t^3. + t^3.08/g2 + 2*g1^3*t^3.71 + (g2*t^3.71)/g1^3 + g1^6*g2^2*t^4.25 + 4*g2*t^4.42 + t^4.5 + (4*t^4.58)/g2 + 3*g1^3*g2^2*t^5.04 + g1^3*g2*t^5.13 + 3*g1^3*t^5.21 + (g2*t^5.21)/g1^3 + t^5.37/(g1^3*g2) + 2*g1^6*g2*t^5.83 + 6*g2^2*t^5.83 + g2*t^5.92 - 3*t^6. - t^6.08/g2 + g1^9*g2^3*t^6.38 + 4*g1^3*g2^2*t^6.54 + (g2^3*t^6.54)/g1^3 + 5*g1^3*g2*t^6.63 + (3*g2^2*t^6.63)/g1^3 + 8*g1^3*t^6.71 + (g2*t^6.71)/g1^3 - (3*t^6.79)/g1^3 + t^7.04/(g1^3*g2^3) + 3*g1^6*g2^3*t^7.17 + g1^6*g2^2*t^7.25 + 3*g1^6*g2*t^7.33 + 12*g2^2*t^7.33 + 3*g1^6*t^7.42 + 5*g2*t^7.42 + (g2^2*t^7.42)/g1^6 + 12*t^7.5 + t^7.58/g2 + (3*t^7.67)/g2^2 + 2*g1^9*g2^2*t^7.96 + 6*g1^3*g2^3*t^7.96 + g1^3*g2^2*t^8.04 - (g2^3*t^8.04)/g1^3 + 3*g1^3*g2*t^8.13 + (3*g2^2*t^8.13)/g1^3 - 3*g1^3*t^8.21 + (2*g1^3*t^8.29)/g2 - t^8.37/(g1^3*g2) - (3*t^8.46)/(g1^3*g2^2) + g1^12*g2^4*t^8.5 - t^8.54/(g1^3*g2^3) + 4*g1^6*g2^3*t^8.67 + g2^4*t^8.67 + 5*g1^6*g2^2*t^8.75 + 10*g2^3*t^8.75 + 8*g1^6*g2*t^8.83 + 9*g2^2*t^8.83 + 4*g1^6*t^8.92 - 16*g2*t^8.92 + (g2^2*t^8.92)/g1^6 - t^4.5/y - t^6./y - (g1^3*g2*t^6.63)/y - (g2*t^7.42)/y + t^7.5/y + t^7.58/(g2*y) + (3*g1^3*g2^2*t^8.04)/y + (g1^3*t^8.21)/y + t^8.37/(g1^3*g2*y) - (g1^6*g2^2*t^8.75)/y + (2*g1^6*g2*t^8.83)/y + (4*g2^2*t^8.83)/y - (2*g2*t^8.92)/y - t^4.5*y - t^6.*y - g1^3*g2*t^6.63*y - g2*t^7.42*y + t^7.5*y + (t^7.58*y)/g2 + 3*g1^3*g2^2*t^8.04*y + g1^3*t^8.21*y + (t^8.37*y)/(g1^3*g2) - g1^6*g2^2*t^8.75*y + 2*g1^6*g2*t^8.83*y + 4*g2^2*t^8.83*y - 2*g2*t^8.92*y |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
57513 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$ | 0.989 | 1.1977 | 0.8257 | [X:[1.5489, 1.4942, 1.5058, 1.4511], M:[0.9511, 0.7091], q:[0.2272, 0.2819], qb:[0.224, 0.267], phi:[0.5]] | t^2.13 + 2*t^2.85 + t^2.98 + t^3. + t^3.02 + t^3.64 + t^3.71 + t^3.77 + t^4.25 + 2*t^4.35 + 2*t^4.48 + t^4.5 + 2*t^4.52 + 2*t^4.65 + 2*t^4.98 + t^5.11 + t^5.13 + 2*t^5.14 + t^5.21 + t^5.27 + t^5.37 + 3*t^5.71 + t^5.77 + 2*t^5.84 + t^5.85 + t^5.87 + t^5.9 + t^5.97 - 3*t^6. - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |