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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5448 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6829 | 0.8775 | 0.7783 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7434, 0.7434, 0.8], q:[0.3717, 0.8283], qb:[0.4283, 0.7717], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [2], [2], [0]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -5 | 2*t^2.23 + 5*t^2.4 + 2*t^3.43 + 3*t^4.46 + 10*t^4.63 + 16*t^4.8 + 4*t^5.66 + 8*t^5.83 - 5*t^6. - 2*t^6.17 + 4*t^6.691 + 18*t^6.86 + 28*t^7.03 + 31*t^7.2 - 4*t^7.37 + 6*t^7.891 + 16*t^8.06 + 10*t^8.23 - 32*t^8.4 - 12*t^8.57 + 5*t^8.921 - t^4.2/y - (2*t^6.43)/y - (4*t^6.6)/y + t^7.46/y + (10*t^7.63)/y + (14*t^7.8)/y + (2*t^7.97)/y + t^8.66/y + (2*t^8.83)/y - t^4.2*y - 2*t^6.43*y - 4*t^6.6*y + t^7.46*y + 10*t^7.63*y + 14*t^7.8*y + 2*t^7.97*y + t^8.66*y + 2*t^8.83*y | 2*g1^2*t^2.23 + 5*t^2.4 + 2*g1^2*t^3.43 + 3*g1^4*t^4.46 + 10*g1^2*t^4.63 + 16*t^4.8 + 4*g1^4*t^5.66 + 8*g1^2*t^5.83 - 5*t^6. - (2*t^6.17)/g1^2 + 4*g1^6*t^6.691 + 18*g1^4*t^6.86 + 28*g1^2*t^7.03 + 31*t^7.2 - (4*t^7.37)/g1^2 + 6*g1^6*t^7.891 + 16*g1^4*t^8.06 + 10*g1^2*t^8.23 - 32*t^8.4 - (12*t^8.57)/g1^2 + 5*g1^8*t^8.921 - t^4.2/y - (2*g1^2*t^6.43)/y - (4*t^6.6)/y + (g1^4*t^7.46)/y + (10*g1^2*t^7.63)/y + (14*t^7.8)/y + (2*t^7.97)/(g1^2*y) + (g1^4*t^8.66)/y + (2*g1^2*t^8.83)/y - t^4.2*y - 2*g1^2*t^6.43*y - 4*t^6.6*y + g1^4*t^7.46*y + 10*g1^2*t^7.63*y + 14*t^7.8*y + (2*t^7.97*y)/g1^2 + g1^4*t^8.66*y + 2*g1^2*t^8.83*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 |
---|---|---|---|---|---|---|---|---|---|
3847 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6664 | 0.8485 | 0.7854 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7434, 0.7434], q:[0.3717, 0.8283], qb:[0.4283, 0.7717], phi:[0.4]] | 2*t^2.23 + 4*t^2.4 + 2*t^3.43 + t^3.6 + 3*t^4.46 + 8*t^4.63 + 11*t^4.8 + 4*t^5.66 + 8*t^5.83 - t^6. - t^4.2/y - t^4.2*y | detail |