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 |
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2259 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6152 | 0.7517 | 0.8185 | [M:[1.1833, 0.761, 0.8167, 0.8167, 1.1833, 0.7888, 1.239], q:[0.8028, 0.4363], qb:[0.3805, 0.8028], phi:[0.3944]] | [M:[[-6], [-14], [6], [6], [-6], [-4], [14]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.367 + t^2.45 + t^3.466 + 2*t^3.55 + 2*t^3.717 + t^3.801 + 3*t^4.733 + 3*t^4.817 + t^4.9 + t^5.833 + 3*t^5.916 - t^6. + 2*t^6.084 + 3*t^6.167 + t^6.251 + t^6.932 + t^7.016 + 4*t^7.1 + 3*t^7.183 + 3*t^7.267 + 2*t^7.434 + 2*t^7.518 + t^7.602 + t^8.199 + 3*t^8.283 - 2*t^8.367 - t^8.45 + 3*t^8.534 + 3*t^8.618 + t^8.701 - t^4.183/y - (2*t^6.55)/y + t^7.733/y + (4*t^7.817)/y + (2*t^8.833)/y + (2*t^8.916)/y - t^4.183*y - 2*t^6.55*y + t^7.733*y + 4*t^7.817*y + 2*t^8.833*y + 2*t^8.916*y | (2*t^2.367)/g1^4 + g1^6*t^2.45 + t^3.466/g1^16 + (2*t^3.55)/g1^6 + 2*g1^14*t^3.717 + g1^24*t^3.801 + (3*t^4.733)/g1^8 + 3*g1^2*t^4.817 + g1^12*t^4.9 + t^5.833/g1^20 + (3*t^5.916)/g1^10 - t^6. + 2*g1^10*t^6.084 + 3*g1^20*t^6.167 + g1^30*t^6.251 + t^6.932/g1^32 + t^7.016/g1^22 + (4*t^7.1)/g1^12 + (3*t^7.183)/g1^2 + 3*g1^8*t^7.267 + 2*g1^28*t^7.434 + 2*g1^38*t^7.518 + g1^48*t^7.602 + t^8.199/g1^24 + (3*t^8.283)/g1^14 - (2*t^8.367)/g1^4 - g1^6*t^8.45 + 3*g1^16*t^8.534 + 3*g1^26*t^8.618 + g1^36*t^8.701 - t^4.183/(g1^2*y) - (2*t^6.55)/(g1^6*y) + t^7.733/(g1^8*y) + (4*g1^2*t^7.817)/y + (2*t^8.833)/(g1^20*y) + (2*t^8.916)/(g1^10*y) - (t^4.183*y)/g1^2 - (2*t^6.55*y)/g1^6 + (t^7.733*y)/g1^8 + 4*g1^2*t^7.817*y + (2*t^8.833*y)/g1^20 + (2*t^8.916*y)/g1^10 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1208 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6342 | 0.7862 | 0.8067 | [M:[1.1759, 0.7438, 0.8241, 0.8241, 1.1759, 0.784], q:[0.804, 0.4521], qb:[0.3719, 0.804], phi:[0.392]] | t^2.232 + 2*t^2.352 + t^2.472 + t^3.407 + 2*t^3.528 + t^3.768 + t^3.889 + t^4.463 + 2*t^4.583 + 4*t^4.704 + 3*t^4.824 + t^4.944 + t^5.639 + 3*t^5.759 + 3*t^5.88 - t^4.176/y - t^4.176*y | detail |