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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6111 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{9}$ | 0.676 | 0.8635 | 0.7829 | [M:[1.0386, 0.8805, 1.1195, 0.7996, 1.2004, 0.7187, 0.8015, 0.7206, 1.1195], q:[0.5212, 0.4403], qb:[0.3594, 0.7601], phi:[0.4798]] | [M:[[-38], [14], [-14], [-10], [10], [-34], [40], [16], [-14]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{9}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{9}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{8}M_{9}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{9}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.156 + t^2.162 + t^2.399 + t^2.405 + t^2.879 + t^3.116 + 2*t^3.358 + t^3.601 + 2*t^4.081 + t^4.312 + t^4.318 + 2*t^4.324 + t^4.555 + 2*t^4.561 + 2*t^4.566 + t^4.798 + t^4.803 + t^4.809 + t^5.035 + t^5.04 + t^5.272 + 2*t^5.278 + t^5.283 + 2*t^5.515 + 3*t^5.52 + 2*t^5.757 + 3*t^5.763 + t^5.994 - 2*t^6. + t^6.006 + t^6.231 + 3*t^6.237 - t^6.243 + t^6.468 + 3*t^6.474 + 3*t^6.48 + 3*t^6.485 + t^6.711 + 4*t^6.717 + 2*t^6.722 + 3*t^6.728 + 4*t^6.96 + 2*t^6.965 + 2*t^6.971 + t^7.191 + t^7.197 + t^7.202 + t^7.208 + t^7.214 + t^7.428 + 2*t^7.434 + 4*t^7.439 + t^7.445 + 2*t^7.671 + 3*t^7.676 + 5*t^7.682 + 2*t^7.913 + 2*t^7.919 + 4*t^7.925 + t^8.151 + 3*t^8.167 + t^8.388 + 4*t^8.393 - t^8.399 - 3*t^8.405 + t^8.41 + t^8.625 + 3*t^8.63 + 6*t^8.636 + 2*t^8.642 + 2*t^8.647 + t^8.867 + 4*t^8.873 + 4*t^8.879 + 3*t^8.884 + 5*t^8.89 - t^4.439/y - t^6.595/y - t^6.601/y - t^6.844/y + t^7.081/y + t^7.324/y + (3*t^7.561)/y + t^7.566/y - t^7.798/y + t^7.803/y + (2*t^8.035)/y + t^8.04/y + t^8.272/y + (3*t^8.278)/y + (2*t^8.283)/y + (3*t^8.515)/y + (3*t^8.52)/y - t^8.752/y + (2*t^8.757)/y + (2*t^8.763)/y + t^8.994/y - t^4.439*y - t^6.595*y - t^6.601*y - t^6.844*y + t^7.081*y + t^7.324*y + 3*t^7.561*y + t^7.566*y - t^7.798*y + t^7.803*y + 2*t^8.035*y + t^8.04*y + t^8.272*y + 3*t^8.278*y + 2*t^8.283*y + 3*t^8.515*y + 3*t^8.52*y - t^8.752*y + 2*t^8.757*y + 2*t^8.763*y + t^8.994*y | t^2.156/g1^34 + g1^16*t^2.162 + t^2.399/g1^10 + g1^40*t^2.405 + t^2.879/g1^12 + t^3.116/g1^38 + (2*t^3.358)/g1^14 + g1^10*t^3.601 + 2*g1^8*t^4.081 + t^4.312/g1^68 + t^4.318/g1^18 + 2*g1^32*t^4.324 + t^4.555/g1^44 + 2*g1^6*t^4.561 + 2*g1^56*t^4.566 + t^4.798/g1^20 + g1^30*t^4.803 + g1^80*t^4.809 + t^5.035/g1^46 + g1^4*t^5.04 + t^5.272/g1^72 + (2*t^5.278)/g1^22 + g1^28*t^5.283 + (2*t^5.515)/g1^48 + 3*g1^2*t^5.52 + (2*t^5.757)/g1^24 + 3*g1^26*t^5.763 + t^5.994/g1^50 - 2*t^6. + g1^50*t^6.006 + t^6.231/g1^76 + (3*t^6.237)/g1^26 - g1^24*t^6.243 + t^6.468/g1^102 + (3*t^6.474)/g1^52 + (3*t^6.48)/g1^2 + 3*g1^48*t^6.485 + t^6.711/g1^78 + (4*t^6.717)/g1^28 + 2*g1^22*t^6.722 + 3*g1^72*t^6.728 + (4*t^6.96)/g1^4 + 2*g1^46*t^6.965 + 2*g1^96*t^6.971 + t^7.191/g1^80 + t^7.197/g1^30 + g1^20*t^7.202 + g1^70*t^7.208 + g1^120*t^7.214 + t^7.428/g1^106 + (2*t^7.434)/g1^56 + (4*t^7.439)/g1^6 + g1^44*t^7.445 + (2*t^7.671)/g1^82 + (3*t^7.676)/g1^32 + 5*g1^18*t^7.682 + (2*t^7.913)/g1^58 + (2*t^7.919)/g1^8 + 4*g1^42*t^7.925 + t^8.151/g1^84 + 3*g1^66*t^8.167 + t^8.388/g1^110 + (4*t^8.393)/g1^60 - t^8.399/g1^10 - 3*g1^40*t^8.405 + g1^90*t^8.41 + t^8.625/g1^136 + (3*t^8.63)/g1^86 + (6*t^8.636)/g1^36 + 2*g1^14*t^8.642 + 2*g1^64*t^8.647 + t^8.867/g1^112 + (4*t^8.873)/g1^62 + (4*t^8.879)/g1^12 + 3*g1^38*t^8.884 + 5*g1^88*t^8.89 - t^4.439/(g1^6*y) - t^6.595/(g1^40*y) - (g1^10*t^6.601)/y - (g1^34*t^6.844)/y + (g1^8*t^7.081)/y + (g1^32*t^7.324)/y + (3*g1^6*t^7.561)/y + (g1^56*t^7.566)/y - t^7.798/(g1^20*y) + (g1^30*t^7.803)/y + (2*t^8.035)/(g1^46*y) + (g1^4*t^8.04)/y + t^8.272/(g1^72*y) + (3*t^8.278)/(g1^22*y) + (2*g1^28*t^8.283)/y + (3*t^8.515)/(g1^48*y) + (3*g1^2*t^8.52)/y - t^8.752/(g1^74*y) + (2*t^8.757)/(g1^24*y) + (2*g1^26*t^8.763)/y + t^8.994/(g1^50*y) - (t^4.439*y)/g1^6 - (t^6.595*y)/g1^40 - g1^10*t^6.601*y - g1^34*t^6.844*y + g1^8*t^7.081*y + g1^32*t^7.324*y + 3*g1^6*t^7.561*y + g1^56*t^7.566*y - (t^7.798*y)/g1^20 + g1^30*t^7.803*y + (2*t^8.035*y)/g1^46 + g1^4*t^8.04*y + (t^8.272*y)/g1^72 + (3*t^8.278*y)/g1^22 + 2*g1^28*t^8.283*y + (3*t^8.515*y)/g1^48 + 3*g1^2*t^8.52*y - (t^8.752*y)/g1^74 + (2*t^8.757*y)/g1^24 + 2*g1^26*t^8.763*y + (t^8.994*y)/g1^50 |
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 |
---|---|---|---|---|---|---|---|---|---|
4579 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.687 | 0.8822 | 0.7787 | [M:[1.051, 0.8759, 1.1241, 0.8029, 1.1971, 0.7299, 0.7884, 0.7154], q:[0.511, 0.438], qb:[0.3649, 0.7591], phi:[0.4817]] | t^2.146 + t^2.19 + t^2.365 + t^2.409 + t^2.628 + t^2.89 + t^3.153 + t^3.372 + t^3.591 + 2*t^4.073 + 2*t^4.292 + t^4.336 + t^4.379 + 2*t^4.511 + 2*t^4.555 + t^4.598 + t^4.73 + 2*t^4.774 + 2*t^4.817 + t^4.993 + 2*t^5.037 + t^5.08 + 2*t^5.256 + 2*t^5.299 + t^5.343 + 3*t^5.518 + t^5.562 + 2*t^5.737 + 2*t^5.781 + t^5.956 - t^6. - t^4.445/y - t^4.445*y | detail |