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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3910 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6829 | 0.8775 | 0.7783 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7434, 0.8, 0.7434], q:[0.3717, 0.8283], qb:[0.4283, 0.7717], phi:[0.4]] | [X:[[0, 0]], M:[[1, 1], [-1, -1], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [-2, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{8}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -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 | t^2.23/g1^2 + (g2*t^2.23)/g1 + 3*t^2.4 + t^2.4/(g1*g2) + g1*g2*t^2.4 + t^3.43/g1^2 + (g2*t^3.43)/g1 + t^4.46/g1^4 + (g2*t^4.46)/g1^3 + (g2^2*t^4.46)/g1^2 + (4*t^4.63)/g1^2 + t^4.63/(g1^3*g2) + (4*g2*t^4.63)/g1 + g2^2*t^4.63 + 8*t^4.8 + t^4.8/(g1^2*g2^2) + (3*t^4.8)/(g1*g2) + 3*g1*g2*t^4.8 + g1^2*g2^2*t^4.8 + t^5.66/g1^4 + (2*g2*t^5.66)/g1^3 + (g2^2*t^5.66)/g1^2 + (3*t^5.83)/g1^2 + t^5.83/(g1^3*g2) + (3*g2*t^5.83)/g1 + g2^2*t^5.83 - 3*t^6. - t^6./(g1*g2) - g1*g2*t^6. - g1^2*t^6.17 - (g1*t^6.17)/g2 + t^6.691/g1^6 + (g2*t^6.691)/g1^5 + (g2^2*t^6.691)/g1^4 + (g2^3*t^6.691)/g1^3 + (5*t^6.86)/g1^4 + t^6.86/(g1^5*g2) + (6*g2*t^6.86)/g1^3 + (5*g2^2*t^6.86)/g1^2 + (g2^3*t^6.86)/g1 + (9*t^7.03)/g1^2 + t^7.03/(g1^4*g2^2) + (4*t^7.03)/(g1^3*g2) + (9*g2*t^7.03)/g1 + 4*g2^2*t^7.03 + g1*g2^3*t^7.03 + 11*t^7.2 + t^7.2/(g1^3*g2^3) + (3*t^7.2)/(g1^2*g2^2) + (6*t^7.2)/(g1*g2) + 6*g1*g2*t^7.2 + 3*g1^2*g2^2*t^7.2 + g1^3*g2^3*t^7.2 - 2*g1^2*t^7.37 - (2*g1*t^7.37)/g2 + t^7.891/g1^6 + (2*g2*t^7.891)/g1^5 + (2*g2^2*t^7.891)/g1^4 + (g2^3*t^7.891)/g1^3 + (4*t^8.06)/g1^4 + t^8.06/(g1^5*g2) + (6*g2*t^8.06)/g1^3 + (4*g2^2*t^8.06)/g1^2 + (g2^3*t^8.06)/g1 + (2*t^8.23)/g1^2 + t^8.23/(g1^4*g2^2) + (2*t^8.23)/(g1^3*g2) + (2*g2*t^8.23)/g1 + 2*g2^2*t^8.23 + g1*g2^3*t^8.23 - 14*t^8.4 - t^8.4/(g1^2*g2^2) - (8*t^8.4)/(g1*g2) - 8*g1*g2*t^8.4 - g1^2*g2^2*t^8.4 - 5*g1^2*t^8.57 - t^8.57/g2^2 - (5*g1*t^8.57)/g2 - g1^3*g2*t^8.57 + t^8.921/g1^8 + (g2*t^8.921)/g1^7 + (g2^2*t^8.921)/g1^6 + (g2^3*t^8.921)/g1^5 + (g2^4*t^8.921)/g1^4 - t^4.2/y - t^6.43/(g1^2*y) - (g2*t^6.43)/(g1*y) - (2*t^6.6)/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y + (g2*t^7.46)/(g1^3*y) + (4*t^7.63)/(g1^2*y) + t^7.63/(g1^3*g2*y) + (4*g2*t^7.63)/(g1*y) + (g2^2*t^7.63)/y + (6*t^7.8)/y + (4*t^7.8)/(g1*g2*y) + (4*g1*g2*t^7.8)/y + (g1^2*t^7.97)/y + (g1*t^7.97)/(g2*y) + (g2*t^8.66)/(g1^3*y) + t^8.83/(g1^2*y) + (g2*t^8.83)/(g1*y) - t^4.2*y - (t^6.43*y)/g1^2 - (g2*t^6.43*y)/g1 - 2*t^6.6*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y + (g2*t^7.46*y)/g1^3 + (4*t^7.63*y)/g1^2 + (t^7.63*y)/(g1^3*g2) + (4*g2*t^7.63*y)/g1 + g2^2*t^7.63*y + 6*t^7.8*y + (4*t^7.8*y)/(g1*g2) + 4*g1*g2*t^7.8*y + g1^2*t^7.97*y + (g1*t^7.97*y)/g2 + (g2*t^8.66*y)/g1^3 + (t^8.83*y)/g1^2 + (g2*t^8.83*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|---|
3419 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6642 | 0.8417 | 0.7891 | [X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.8, 0.7599, 0.8], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]] | t^2.28 + t^2.36 + 3*t^2.4 + t^2.44 + t^3.48 + t^3.52 + t^3.68 + t^4.559 + t^4.64 + 3*t^4.68 + 2*t^4.72 + 3*t^4.76 + 8*t^4.8 + 3*t^4.84 + t^4.88 + t^5.759 + t^5.8 + t^5.84 + 3*t^5.88 + 3*t^5.92 + t^5.96 - 3*t^6. - t^4.2/y - t^4.2*y | detail |