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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6905 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}X_{1}$ + ${ }M_{5}M_{9}$ | 0.5921 | 0.7359 | 0.8045 | [X:[1.3237], M:[0.6763, 1.1079, 0.8202, 1.036, 0.964, 1.1798, 1.1079, 0.6763, 1.036], q:[0.777, 0.5467], qb:[0.6331, 0.259], phi:[0.446]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20], [12], [-36], [4]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{8}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{9}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}M_{9}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{9}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.029 + t^2.417 + 2*t^3.108 + 2*t^3.324 + t^3.54 + t^3.755 + t^4.014 + t^4.058 + t^4.23 + t^4.446 + t^4.619 + t^4.834 + 2*t^5.137 + 2*t^5.353 + 2*t^5.525 + t^5.568 + t^5.741 + t^5.957 - 3*t^6. + t^6.043 + t^6.087 + t^6.173 + t^6.216 + 3*t^6.432 + 5*t^6.647 - t^6.691 + 3*t^6.863 - t^6.907 + t^7.036 + t^7.079 + 2*t^7.166 + t^7.252 + t^7.338 + 2*t^7.381 + 3*t^7.554 + t^7.726 + t^7.77 + 3*t^7.942 - 3*t^8.029 + t^8.072 + t^8.115 + 2*t^8.158 - t^8.201 + t^8.245 + 2*t^8.374 - 3*t^8.417 + 3*t^8.46 + t^8.59 + t^8.633 + 4*t^8.676 + 2*t^8.849 - t^8.935 - t^4.338/y - t^6.367/y + t^7.014/y + t^7.23/y - t^7.662/y + (2*t^8.137)/y + t^8.309/y + (2*t^8.353)/y - t^8.396/y + (2*t^8.525)/y + t^8.568/y + (2*t^8.741)/y + t^8.784/y + t^8.957/y - t^4.338*y - t^6.367*y + t^7.014*y + t^7.23*y - t^7.662*y + 2*t^8.137*y + t^8.309*y + 2*t^8.353*y - t^8.396*y + 2*t^8.525*y + t^8.568*y + 2*t^8.741*y + t^8.784*y + t^8.957*y | t^2.029/g1^36 + g1^34*t^2.417 + 2*g1^4*t^3.108 + 2*g1^12*t^3.324 + g1^20*t^3.54 + g1^28*t^3.755 + t^4.014/g1^18 + t^4.058/g1^72 + t^4.23/g1^10 + t^4.446/g1^2 + g1^60*t^4.619 + g1^68*t^4.834 + (2*t^5.137)/g1^32 + (2*t^5.353)/g1^24 + 2*g1^38*t^5.525 + t^5.568/g1^16 + g1^46*t^5.741 + g1^54*t^5.957 - 3*t^6. + t^6.043/g1^54 + t^6.087/g1^108 + g1^62*t^6.173 + g1^8*t^6.216 + 3*g1^16*t^6.432 + 5*g1^24*t^6.647 - t^6.691/g1^30 + 3*g1^32*t^6.863 - t^6.907/g1^22 + g1^94*t^7.036 + g1^40*t^7.079 + (2*t^7.166)/g1^68 + g1^102*t^7.252 + t^7.338/g1^6 + (2*t^7.381)/g1^60 + 3*g1^2*t^7.554 + g1^64*t^7.726 + g1^10*t^7.77 + 3*g1^72*t^7.942 - (3*t^8.029)/g1^36 + t^8.072/g1^90 + t^8.115/g1^144 + 2*g1^80*t^8.158 - g1^26*t^8.201 + t^8.245/g1^28 + 2*g1^88*t^8.374 - 3*g1^34*t^8.417 + (3*t^8.46)/g1^20 + g1^96*t^8.59 + g1^42*t^8.633 + (4*t^8.676)/g1^12 + 2*g1^50*t^8.849 - t^8.935/g1^58 - t^4.338/(g1^6*y) - t^6.367/(g1^42*y) + t^7.014/(g1^18*y) + t^7.23/(g1^10*y) - (g1^6*t^7.662)/y + (2*t^8.137)/(g1^32*y) + (g1^30*t^8.309)/y + (2*t^8.353)/(g1^24*y) - t^8.396/(g1^78*y) + (2*g1^38*t^8.525)/y + t^8.568/(g1^16*y) + (2*g1^46*t^8.741)/y + t^8.784/(g1^8*y) + (g1^54*t^8.957)/y - (t^4.338*y)/g1^6 - (t^6.367*y)/g1^42 + (t^7.014*y)/g1^18 + (t^7.23*y)/g1^10 - g1^6*t^7.662*y + (2*t^8.137*y)/g1^32 + g1^30*t^8.309*y + (2*t^8.353*y)/g1^24 - (t^8.396*y)/g1^78 + 2*g1^38*t^8.525*y + (t^8.568*y)/g1^16 + 2*g1^46*t^8.741*y + (t^8.784*y)/g1^8 + g1^54*t^8.957*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 |
---|---|---|---|---|---|---|---|---|---|
5414 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}X_{1}$ | 0.5954 | 0.7414 | 0.8031 | [X:[1.3288], M:[0.6712, 1.1096, 0.8173, 1.0365, 0.9635, 1.1827, 1.1096, 0.6712], q:[0.7774, 0.5514], qb:[0.6313, 0.2591], phi:[0.4452]] | t^2.014 + t^2.432 + t^2.89 + t^3.11 + 2*t^3.329 + t^3.548 + t^3.767 + t^4.007 + t^4.027 + t^4.226 + t^4.445 + t^4.644 + t^4.863 + t^4.904 + t^5.123 + t^5.322 + 2*t^5.342 + t^5.541 + t^5.562 + t^5.76 + t^5.781 + t^5.979 - 2*t^6. - t^4.336/y - t^4.336*y | detail |