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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[0, 1]], 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 |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | 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. - 2*t^6.116 + 2*t^6.307 + 4*t^6.423 + 4*t^6.539 + 3*t^6.845 + 2*t^6.961 + 2*t^7.077 + 2*t^7.268 + 6*t^7.384 + 2*t^7.5 + 2*t^7.616 + t^7.691 + 2*t^7.807 + 5*t^7.923 + 2*t^8.039 + 5*t^8.155 + 2*t^8.345 - 4*t^8.461 - 4*t^8.577 + 3*t^8.768 + 4*t^8.884 - t^4.5/y + t^7.077/y + (2*t^8.461)/y + (4*t^8.884)/y - t^4.5*y + t^7.077*y + 2*t^8.461*y + 4*t^8.884*y | t^2.461/g1 + g1*g2*t^2.461 + t^3. + 2*g2*t^3.423 + g1*t^3.539 + t^3.539/(g1*g2) + g2^2*t^3.845 + t^3.961/g1 + g1*g2*t^3.961 + g1^2*t^4.077 + t^4.077/(g1^2*g2^2) + t^4.077/g2 + t^4.923/g1^2 + g2*t^4.923 + g1^2*g2^2*t^4.923 + t^5.461/g1 + g1*g2*t^5.461 + (g2*t^5.884)/g1 + g1*g2^2*t^5.884 - t^6. - t^6.116/(g1*g2^2) - (g1*t^6.116)/g2 + (g2^2*t^6.307)/g1 + g1*g2^3*t^6.307 + t^6.423/g1^2 + 2*g2*t^6.423 + g1^2*g2^2*t^6.423 + g1*t^6.539 + t^6.539/(g1^3*g2^2) + t^6.539/(g1*g2) + g1^3*g2*t^6.539 + 3*g2^2*t^6.845 + t^6.961/g1 + g1*g2*t^6.961 + g1^2*t^7.077 + t^7.077/(g1^2*g2^2) + 2*g2^3*t^7.268 + t^7.384/g1^3 + (2*g2*t^7.384)/g1 + 2*g1*g2^2*t^7.384 + g1^3*g2^3*t^7.384 + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 + g1^3*t^7.616 + t^7.616/(g1^3*g2^3) + g2^4*t^7.691 + (g2^2*t^7.807)/g1 + g1*g2^3*t^7.807 + (2*t^7.923)/g1^2 + g2*t^7.923 + 2*g1^2*g2^2*t^7.923 + t^8.039/(g1^3*g2^2) + g1^3*g2*t^8.039 + g1^4*t^8.155 + t^8.155/(g1^4*g2^4) + t^8.155/(g1^2*g2^3) + t^8.155/g2^2 + (g1^2*t^8.155)/g2 + (g2*t^8.345)/g1^2 + g1^2*g2^3*t^8.345 - (2*t^8.461)/g1 - 2*g1*g2*t^8.461 - g1^2*t^8.577 - t^8.577/(g1^2*g2^2) - (2*t^8.577)/g2 + (g2^2*t^8.768)/g1^2 + g2^3*t^8.768 + g1^2*g2^4*t^8.768 + t^8.884/g1^3 + (g2*t^8.884)/g1 + g1*g2^2*t^8.884 + g1^3*g2^3*t^8.884 - t^4.5/y + t^7.077/(g2*y) + t^8.461/(g1*y) + (g1*g2*t^8.461)/y + (2*g2*t^8.884)/(g1*y) + (2*g1*g2^2*t^8.884)/y - t^4.5*y + (t^7.077*y)/g2 + (t^8.461*y)/g1 + g1*g2*t^8.461*y + (2*g2*t^8.884*y)/g1 + 2*g1*g2^2*t^8.884*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 |
---|---|---|---|---|---|---|---|---|
103 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6363 | 0.8038 | 0.7916 | [M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.4275, 0.392], phi:[0.5]] | t^2.032 + t^2.458 + t^2.468 + t^3. + 2*t^3.426 + t^3.532 + t^3.542 + t^3.852 + t^3.958 + 2*t^4.065 + t^4.074 + t^4.083 + t^4.491 + t^4.5 + t^4.917 + t^4.926 + t^4.935 + t^5.032 + 3*t^5.458 + t^5.468 + t^5.565 + t^5.574 + 2*t^5.884 + t^5.893 + t^5.991 - t^6. - t^4.5/y - t^4.5*y | detail | |
101 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6359 | 0.8017 | 0.7932 | [M:[1.1522, 0.6956], q:[0.75, 0.4239], qb:[0.4239, 0.4022], phi:[0.5]] | 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. - t^4.5/y - t^4.5*y | detail | |
99 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.6011 | 0.7381 | 0.8144 | [M:[1.154, 1.154], q:[0.75, 0.4419], qb:[0.404, 0.404], phi:[0.5]] | t^2.424 + t^3. + 4*t^3.462 + t^3.576 + 3*t^3.924 + 2*t^4.038 + t^4.151 + t^4.849 + t^5.424 + 2*t^5.886 - 4*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 |
---|---|---|---|---|---|---|---|---|---|
1668 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 0.6817 | 0.8108 | 0.8408 | [M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]] | t^2.32 + t^2.604 + 2*t^3.243 + t^3.965 + 2*t^4.118 + t^4.25 + 2*t^4.403 + 3*t^4.555 + t^4.639 + t^4.924 + t^5.209 + 2*t^5.562 - 5*t^6. - t^4.16/y - t^4.16*y | detail |