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 |
---|---|---|---|---|---|---|---|---|---|
47901 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4535 | 1.6383 | 0.8872 | [X:[1.3429], M:[0.9857], q:[0.5072, 0.5072], qb:[0.5072, 0.5072], phi:[0.3286]] | [X:[[0, 0, 2]], M:[[0, 0, -3]], q:[[-1, 0, 3], [0, -1, 3]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -2 | 2*t^2.957 + 3*t^3.043 + 5*t^4.029 + 4*t^5.014 + 4*t^5.55 + 3*t^5.914 - 2*t^6. + 6*t^6.086 + 4*t^6.536 + 3*t^6.986 + 15*t^7.072 + 4*t^7.521 + 2*t^7.971 + 22*t^8.057 - 8*t^8.507 + 12*t^8.593 + 4*t^8.871 - 2*t^8.957 + t^8.957/y^2 - t^3.986/y - t^4.971/y - (2*t^6.943)/y - (3*t^7.029)/y - (2*t^7.928)/y - (3*t^8.014)/y + t^8.914/y - t^3.986*y - t^4.971*y - 2*t^6.943*y - 3*t^7.029*y - 2*t^7.928*y - 3*t^8.014*y + t^8.914*y + t^8.957*y^2 | (2*t^2.957)/g3^3 + g3^3*t^3.043 + (g1*g3^3*t^3.043)/g2 + (g2*g3^3*t^3.043)/g1 + 3*g3^2*t^4.029 + (g1*g3^2*t^4.029)/g2 + (g2*g3^2*t^4.029)/g1 + 2*g3*t^5.014 + (g1*g3*t^5.014)/g2 + (g2*g3*t^5.014)/g1 + (g1^2*g2*t^5.55)/g3 + (g1*g2^2*t^5.55)/g3 + (g3^8*t^5.55)/(g1*g2^2) + (g3^8*t^5.55)/(g1^2*g2) + (3*t^5.914)/g3^6 - 2*t^6. + 2*g3^6*t^6.086 + (g1^2*g3^6*t^6.086)/g2^2 + (g1*g3^6*t^6.086)/g2 + (g2*g3^6*t^6.086)/g1 + (g2^2*g3^6*t^6.086)/g1^2 + (g1^2*g2*t^6.536)/g3^2 + (g1*g2^2*t^6.536)/g3^2 + (g3^7*t^6.536)/(g1*g2^2) + (g3^7*t^6.536)/(g1^2*g2) + (3*t^6.986)/g3 + 5*g3^5*t^7.072 + (g1^2*g3^5*t^7.072)/g2^2 + (4*g1*g3^5*t^7.072)/g2 + (4*g2*g3^5*t^7.072)/g1 + (g2^2*g3^5*t^7.072)/g1^2 + (g1^3*t^7.521)/g3^3 + (g2^3*t^7.521)/g3^3 + (g3^6*t^7.521)/g1^3 + (g3^6*t^7.521)/g2^3 + (2*t^7.971)/g3^2 + 8*g3^4*t^8.057 + (2*g1^2*g3^4*t^8.057)/g2^2 + (5*g1*g3^4*t^8.057)/g2 + (5*g2*g3^4*t^8.057)/g1 + (2*g2^2*g3^4*t^8.057)/g1^2 - (g1^3*t^8.507)/g3^4 - (g1^2*g2*t^8.507)/g3^4 - (g1*g2^2*t^8.507)/g3^4 - (g2^3*t^8.507)/g3^4 - (g3^5*t^8.507)/g1^3 - (g3^5*t^8.507)/g2^3 - (g3^5*t^8.507)/(g1*g2^2) - (g3^5*t^8.507)/(g1^2*g2) + g1^3*g3^2*t^8.593 + 2*g1^2*g2*g3^2*t^8.593 + 2*g1*g2^2*g3^2*t^8.593 + g2^3*g3^2*t^8.593 + (g3^11*t^8.593)/g1^3 + (g3^11*t^8.593)/g2^3 + (2*g3^11*t^8.593)/(g1*g2^2) + (2*g3^11*t^8.593)/(g1^2*g2) + (4*t^8.871)/g3^9 - (2*t^8.957)/g3^3 + t^8.957/(g3^3*y^2) - t^3.986/(g3*y) - t^4.971/(g3^2*y) - (2*t^6.943)/(g3^4*y) - (g3^2*t^7.029)/y - (g1*g3^2*t^7.029)/(g2*y) - (g2*g3^2*t^7.029)/(g1*y) - (2*t^7.928)/(g3^5*y) - (g3*t^8.014)/y - (g1*g3*t^8.014)/(g2*y) - (g2*g3*t^8.014)/(g1*y) + t^8.914/(g3^6*y) - (t^3.986*y)/g3 - (t^4.971*y)/g3^2 - (2*t^6.943*y)/g3^4 - g3^2*t^7.029*y - (g1*g3^2*t^7.029*y)/g2 - (g2*g3^2*t^7.029*y)/g1 - (2*t^7.928*y)/g3^5 - g3*t^8.014*y - (g1*g3*t^8.014*y)/g2 - (g2*g3*t^8.014*y)/g1 + (t^8.914*y)/g3^6 + (t^8.957*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|
57424 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4578 | 1.6423 | 0.8876 | [X:[1.3613], M:[0.958, 0.9215], q:[0.5027, 0.5393], qb:[0.5393, 0.5027], phi:[0.3193]] | t^2.764 + 2*t^2.874 + t^3.016 + t^3.126 + t^3.974 + 3*t^4.084 + t^4.194 + t^4.932 + 2*t^5.042 + t^5.152 + t^5.529 + 2*t^5.592 + 2*t^5.638 + 2*t^5.702 + 3*t^5.748 + t^5.781 + t^5.89 - 2*t^6. - t^3.958/y - t^4.916/y - t^3.958*y - t^4.916*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 |
---|---|---|---|---|---|---|---|---|---|
47868 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6423 | 0.8861 | [X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]] | t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |