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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5515 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{9}$ | 0.6721 | 0.8336 | 0.8063 | [X:[1.3552], M:[1.0308, 1.0965, 1.1622, 0.9692, 0.6448, 0.8378, 0.7721, 0.9692, 0.8378], q:[0.7741, 0.3881], qb:[0.5811, 0.4497], phi:[0.4517]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-32], [22], [-14]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{7}$, ${ }M_{6}$, ${ }M_{9}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.316 + 2*t^2.513 + 2*t^2.908 + t^3.29 + t^3.671 + t^3.869 + t^4.053 + t^4.066 + t^4.263 + t^4.448 + t^4.632 + 2*t^4.83 + t^4.842 + 3*t^5.027 + 2*t^5.224 + 3*t^5.421 + 2*t^5.803 + 2*t^5.815 + t^5.988 - 3*t^6. + 2*t^6.185 + t^6.197 + t^6.369 + 2*t^6.382 - t^6.394 + 2*t^6.567 + 3*t^6.579 + t^6.764 + t^6.776 + t^6.949 + 3*t^6.961 + 2*t^7.146 + t^7.17 + 4*t^7.343 + t^7.355 + 5*t^7.54 + t^7.725 + 4*t^7.737 + t^7.922 + 3*t^7.934 + t^8.107 + t^8.119 + 2*t^8.131 + t^8.304 + 2*t^8.329 + 3*t^8.501 - 5*t^8.513 + t^8.686 + 3*t^8.698 + 2*t^8.723 + 2*t^8.883 + 4*t^8.895 - 6*t^8.908 - t^4.355/y - t^6.671/y - t^6.869/y - t^7.263/y + t^7.448/y + (2*t^7.83)/y + t^7.842/y + t^8.027/y + t^8.039/y + (2*t^8.224)/y + (4*t^8.421)/y + t^8.606/y + (2*t^8.803)/y + t^8.815/y - t^4.355*y - t^6.671*y - t^6.869*y - t^7.263*y + t^7.448*y + 2*t^7.83*y + t^7.842*y + t^8.027*y + t^8.039*y + 2*t^8.224*y + 4*t^8.421*y + t^8.606*y + 2*t^8.803*y + t^8.815*y | t^2.316/g1^32 + (2*t^2.513)/g1^14 + 2*g1^22*t^2.908 + t^3.29/g1^4 + t^3.671/g1^30 + t^3.869/g1^12 + t^4.053/g1^56 + g1^6*t^4.066 + g1^24*t^4.263 + t^4.448/g1^20 + t^4.632/g1^64 + (2*t^4.83)/g1^46 + g1^16*t^4.842 + (3*t^5.027)/g1^28 + (2*t^5.224)/g1^10 + 3*g1^8*t^5.421 + (2*t^5.803)/g1^18 + 2*g1^44*t^5.815 + t^5.988/g1^62 - 3*t^6. + (2*t^6.185)/g1^44 + g1^18*t^6.197 + t^6.369/g1^88 + (2*t^6.382)/g1^26 - g1^36*t^6.394 + (2*t^6.567)/g1^70 + (3*t^6.579)/g1^8 + t^6.764/g1^52 + g1^10*t^6.776 + t^6.949/g1^96 + (3*t^6.961)/g1^34 + (2*t^7.146)/g1^78 + g1^46*t^7.17 + (4*t^7.343)/g1^60 + g1^2*t^7.355 + (5*t^7.54)/g1^42 + t^7.725/g1^86 + (4*t^7.737)/g1^24 + t^7.922/g1^68 + (3*t^7.934)/g1^6 + t^8.107/g1^112 + t^8.119/g1^50 + 2*g1^12*t^8.131 + t^8.304/g1^94 + 2*g1^30*t^8.329 + (3*t^8.501)/g1^76 - (5*t^8.513)/g1^14 + t^8.686/g1^120 + (3*t^8.698)/g1^58 + 2*g1^66*t^8.723 + (2*t^8.883)/g1^102 + (4*t^8.895)/g1^40 - 6*g1^22*t^8.908 - (g1^2*t^4.355)/y - t^6.671/(g1^30*y) - t^6.869/(g1^12*y) - (g1^24*t^7.263)/y + t^7.448/(g1^20*y) + (2*t^7.83)/(g1^46*y) + (g1^16*t^7.842)/y + t^8.027/(g1^28*y) + (g1^34*t^8.039)/y + (2*t^8.224)/(g1^10*y) + (4*g1^8*t^8.421)/y + t^8.606/(g1^36*y) + (2*t^8.803)/(g1^18*y) + (g1^44*t^8.815)/y - g1^2*t^4.355*y - (t^6.671*y)/g1^30 - (t^6.869*y)/g1^12 - g1^24*t^7.263*y + (t^7.448*y)/g1^20 + (2*t^7.83*y)/g1^46 + g1^16*t^7.842*y + (t^8.027*y)/g1^28 + g1^34*t^8.039*y + (2*t^8.224*y)/g1^10 + 4*g1^8*t^8.421*y + (t^8.606*y)/g1^36 + (2*t^8.803*y)/g1^18 + g1^44*t^8.815*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3983 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$ | 0.6583 | 0.809 | 0.8137 | [X:[1.3528], M:[1.0396, 1.0981, 1.1566, 0.9604, 0.6472, 0.8434, 0.7849, 0.9604], q:[0.7745, 0.3821], qb:[0.5783, 0.4613], phi:[0.4509]] | t^2.355 + t^2.53 + 2*t^2.881 + t^3.294 + t^3.47 + t^3.707 + t^3.883 + t^4.059 + t^4.121 + t^4.234 + t^4.472 + t^4.709 + t^4.823 + t^4.885 + t^5.06 + 2*t^5.236 + t^5.411 + 2*t^5.762 + 2*t^5.824 - 2*t^6. - t^4.353/y - t^4.353*y | detail |