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 |
---|---|---|---|---|---|---|---|---|---|
101 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6359 | 0.8017 | 0.7932 | [M:[1.1522, 0.6956], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]] | [M:[[0, 1], [0, -2]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | t^2.087 + 2*t^2.478 + t^3. + 2*t^3.457 + 2*t^3.522 + 2*t^3.978 + 3*t^4.043 + t^4.174 + 2*t^4.565 + 3*t^4.957 + t^5.087 + 2*t^5.478 + 2*t^5.543 + 2*t^5.609 + 2*t^5.935 - t^6. + 3*t^6.13 + t^6.261 + 4*t^6.457 + 4*t^6.522 + 2*t^6.652 + 2*t^6.913 + 2*t^6.978 + 5*t^7.043 + t^7.174 + 4*t^7.435 + 2*t^7.5 + 4*t^7.565 + 2*t^7.63 + 2*t^7.696 + 2*t^7.957 + 4*t^8.022 + 4*t^8.087 + 3*t^8.217 + t^8.348 + 2*t^8.413 - 4*t^8.478 + 4*t^8.609 + 2*t^8.739 + 4*t^8.935 - t^4.5/y - t^6.587/y + t^7.043/y + (2*t^7.565)/y + t^8.087/y + t^8.413/y + (2*t^8.478)/y + (2*t^8.543)/y + (2*t^8.609)/y - t^8.674/y + (4*t^8.935)/y - t^4.5*y - t^6.587*y + t^7.043*y + 2*t^7.565*y + t^8.087*y + t^8.413*y + 2*t^8.478*y + 2*t^8.543*y + 2*t^8.609*y - t^8.674*y + 4*t^8.935*y | t^2.087/g2^2 + t^2.478/g1 + g1*g2*t^2.478 + t^3. + 2*g2*t^3.457 + g1*t^3.522 + t^3.522/(g1*g2) + t^3.978/g1 + g1*g2*t^3.978 + g1^2*t^4.043 + t^4.043/(g1^2*g2^2) + t^4.043/g2 + t^4.174/g2^4 + t^4.565/(g1*g2^2) + (g1*t^4.565)/g2 + t^4.957/g1^2 + g2*t^4.957 + g1^2*g2^2*t^4.957 + t^5.087/g2^2 + t^5.478/g1 + g1*g2*t^5.478 + (2*t^5.543)/g2 + t^5.609/(g1*g2^3) + (g1*t^5.609)/g2^2 + (g2*t^5.935)/g1 + g1*g2^2*t^5.935 - t^6. + t^6.13/(g1^2*g2^4) + t^6.13/g2^3 + (g1^2*t^6.13)/g2^2 + t^6.261/g2^6 + t^6.457/g1^2 + 2*g2*t^6.457 + g1^2*g2^2*t^6.457 + g1*t^6.522 + t^6.522/(g1^3*g2^2) + t^6.522/(g1*g2) + g1^3*g2*t^6.522 + t^6.652/(g1*g2^4) + (g1*t^6.652)/g2^3 + 2*g2^2*t^6.913 + t^6.978/g1 + g1*g2*t^6.978 + 2*g1^2*t^7.043 + (2*t^7.043)/(g1^2*g2^2) + t^7.043/g2 + t^7.174/g2^4 + t^7.435/g1^3 + (g2*t^7.435)/g1 + g1*g2^2*t^7.435 + g1^3*g2^3*t^7.435 + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 + g1^3*t^7.565 + t^7.565/(g1^3*g2^3) + t^7.565/(g1*g2^2) + (g1*t^7.565)/g2 + (2*t^7.63)/g2^3 + t^7.696/(g1*g2^5) + (g1*t^7.696)/g2^4 + t^7.957/g1^2 + g1^2*g2^2*t^7.957 + g1*t^8.022 + t^8.022/(g1^3*g2^2) + t^8.022/(g1*g2) + g1^3*g2*t^8.022 + g1^4*t^8.087 + t^8.087/(g1^4*g2^4) + t^8.087/(g1^2*g2^3) + (g1^2*t^8.087)/g2 + t^8.217/(g1^2*g2^6) + t^8.217/g2^5 + (g1^2*t^8.217)/g2^4 + t^8.348/g2^8 + (g2*t^8.413)/g1^2 + g1^2*g2^3*t^8.413 - (2*t^8.478)/g1 - 2*g1*g2*t^8.478 + t^8.609/(g1^3*g2^4) + t^8.609/(g1*g2^3) + (g1*t^8.609)/g2^2 + (g1^3*t^8.609)/g2 + t^8.739/(g1*g2^6) + (g1*t^8.739)/g2^5 + t^8.935/g1^3 + (g2*t^8.935)/g1 + g1*g2^2*t^8.935 + g1^3*g2^3*t^8.935 - t^4.5/y - t^6.587/(g2^2*y) + t^7.043/(g2*y) + t^7.565/(g1*g2^2*y) + (g1*t^7.565)/(g2*y) + t^8.087/(g2^2*y) + (g2^2*t^8.413)/y + t^8.478/(g1*y) + (g1*g2*t^8.478)/y + (2*t^8.543)/(g2*y) + t^8.609/(g1*g2^3*y) + (g1*t^8.609)/(g2^2*y) - t^8.674/(g2^4*y) + (2*g2*t^8.935)/(g1*y) + (2*g1*g2^2*t^8.935)/y - t^4.5*y - (t^6.587*y)/g2^2 + (t^7.043*y)/g2 + (t^7.565*y)/(g1*g2^2) + (g1*t^7.565*y)/g2 + (t^8.087*y)/g2^2 + g2^2*t^8.413*y + (t^8.478*y)/g1 + g1*g2*t^8.478*y + (2*t^8.543*y)/g2 + (t^8.609*y)/(g1*g2^3) + (g1*t^8.609*y)/g2^2 - (t^8.674*y)/g2^4 + (2*g2*t^8.935*y)/g1 + 2*g1*g2^2*t^8.935*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 |
---|---|---|---|---|---|---|---|---|
160 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6567 | 0.843 | 0.7791 | [M:[1.1525, 0.6949, 0.6728], q:[0.75, 0.4246], qb:[0.4228, 0.4025], phi:[0.5]] | t^2.019 + t^2.085 + t^2.476 + t^2.481 + t^3. + 2*t^3.458 + t^3.519 + t^3.524 + t^3.976 + 2*t^4.037 + t^4.042 + t^4.048 + t^4.103 + t^4.169 + t^4.495 + t^4.5 + t^4.561 + t^4.566 + t^4.952 + t^4.958 + t^4.963 + t^5.019 + t^5.085 + 3*t^5.476 + t^5.481 + t^5.537 + 3*t^5.542 + t^5.603 + t^5.609 + t^5.934 + t^5.939 + t^5.995 - t^6. - t^4.5/y - t^4.5*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
64 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ | 0.6155 | 0.7629 | 0.8067 | [M:[1.1409], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.461 + t^3. + 2*t^3.423 + 2*t^3.539 + t^3.845 + 2*t^3.961 + 3*t^4.077 + 3*t^4.923 + 2*t^5.461 + 2*t^5.884 - t^6. - t^4.5/y - t^4.5*y | detail |