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 |
---|---|---|---|---|---|---|---|---|---|
847 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.5979 | 0.7809 | 0.7657 | [M:[0.9223, 1.2331, 1.0777, 0.7669, 0.7669], q:[0.7306, 0.3471], qb:[0.3471, 0.4197], phi:[0.5389]] | [M:[[4], [-12], [-4], [12], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1 | t^2.083 + 3*t^2.301 + 3*t^3.233 + t^3.451 + 2*t^3.699 + 2*t^3.917 + t^4.135 + t^4.166 + 3*t^4.383 + 6*t^4.601 + 3*t^5.316 + 9*t^5.534 + 3*t^5.752 + t^6. + 4*t^6.218 + t^6.248 + 3*t^6.436 + 4*t^6.466 + 6*t^6.684 + 10*t^6.902 + 3*t^6.932 + 2*t^7.15 + 3*t^7.368 + 3*t^7.399 + t^7.586 + 5*t^7.617 + 17*t^7.834 + 8*t^8.052 - 5*t^8.083 + t^8.27 - 5*t^8.301 + t^8.331 + 6*t^8.518 + 4*t^8.549 + 6*t^8.736 + 8*t^8.767 + 10*t^8.985 - t^4.617/y - t^6.917/y + (4*t^7.383)/y + (3*t^7.601)/y - t^7.85/y + (4*t^8.316)/y + (10*t^8.534)/y + (3*t^8.752)/y + (2*t^8.782)/y - t^4.617*y - t^6.917*y + 4*t^7.383*y + 3*t^7.601*y - t^7.85*y + 4*t^8.316*y + 10*t^8.534*y + 3*t^8.752*y + 2*t^8.782*y | t^2.083/g1^10 + 3*g1^12*t^2.301 + (3*t^3.233)/g1^4 + g1^18*t^3.451 + (2*t^3.699)/g1^12 + 2*g1^10*t^3.917 + g1^32*t^4.135 + t^4.166/g1^20 + 3*g1^2*t^4.383 + 6*g1^24*t^4.601 + (3*t^5.316)/g1^14 + 9*g1^8*t^5.534 + 3*g1^30*t^5.752 + t^6. + 4*g1^22*t^6.218 + t^6.248/g1^30 + 3*g1^44*t^6.436 + (4*t^6.466)/g1^8 + 6*g1^14*t^6.684 + 10*g1^36*t^6.902 + (3*t^6.932)/g1^16 + 2*g1^6*t^7.15 + 3*g1^28*t^7.368 + (3*t^7.399)/g1^24 + g1^50*t^7.586 + (5*t^7.617)/g1^2 + 17*g1^20*t^7.834 + 8*g1^42*t^8.052 - (5*t^8.083)/g1^10 + g1^64*t^8.27 - 5*g1^12*t^8.301 + t^8.331/g1^40 + 6*g1^34*t^8.518 + (4*t^8.549)/g1^18 + 6*g1^56*t^8.736 + 8*g1^4*t^8.767 + 10*g1^26*t^8.985 - t^4.617/(g1^2*y) - (g1^10*t^6.917)/y + (4*g1^2*t^7.383)/y + (3*g1^24*t^7.601)/y - t^7.85/(g1^6*y) + (4*t^8.316)/(g1^14*y) + (10*g1^8*t^8.534)/y + (3*g1^30*t^8.752)/y + (2*t^8.782)/(g1^22*y) - (t^4.617*y)/g1^2 - g1^10*t^6.917*y + 4*g1^2*t^7.383*y + 3*g1^24*t^7.601*y - (t^7.85*y)/g1^6 + (4*t^8.316*y)/g1^14 + 10*g1^8*t^8.534*y + 3*g1^30*t^8.752*y + (2*t^8.782*y)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
1344 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6186 | 0.8205 | 0.7539 | [M:[0.923, 1.2309, 1.077, 0.7691, 0.7691, 0.6924], q:[0.7308, 0.3462], qb:[0.3462, 0.4229], phi:[0.5385]] | 2*t^2.077 + 3*t^2.307 + 3*t^3.231 + t^3.461 + 2*t^3.693 + t^3.923 + t^4.153 + 3*t^4.154 + 6*t^4.385 + 6*t^4.615 + 6*t^5.308 + 10*t^5.538 + 3*t^5.768 + 2*t^5.77 + t^6. - t^4.615/y - t^4.615*y | detail | |
2032 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6122 | 0.8041 | 0.7613 | [M:[0.9289, 1.2134, 1.0711, 0.7866, 0.7866, 0.8201], q:[0.7322, 0.3389], qb:[0.3389, 0.4477], phi:[0.5356]] | t^2.034 + 3*t^2.36 + t^2.46 + 3*t^3.213 + 2*t^3.64 + 2*t^3.966 + t^4.067 + t^4.293 + 3*t^4.393 + t^4.494 + 6*t^4.72 + 3*t^4.82 + t^4.921 + 3*t^5.247 + 8*t^5.573 + 3*t^5.674 + t^6. - t^4.607/y - t^4.607*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 |
---|---|---|---|---|---|---|---|---|---|
541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6135 | 0.7921 | 0.7745 | [M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.196 + t^2.249 + t^2.674 + 2*t^3.109 + t^3.326 + t^3.533 + t^3.587 + t^3.751 + t^4.175 + t^4.228 + t^4.282 + 3*t^4.392 + 2*t^4.446 + t^4.499 + 2*t^4.87 + t^4.924 + 4*t^5.305 + t^5.348 + 2*t^5.358 + t^5.522 + 2*t^5.73 + 4*t^5.783 + t^5.836 + t^5.947 - 2*t^6. - t^4.554/y - t^4.554*y | detail |