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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6273 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ + ${ }M_{3}M_{9}$ | 0.5983 | 0.7851 | 0.762 | [X:[1.2578], M:[1.237, 0.7422, 1.237, 0.7422, 1.2578, 0.7214, 0.763, 0.763, 0.763], q:[0.3919, 0.3711], qb:[0.3711, 0.8867], phi:[0.4948]] | [X:[[6]], M:[[-10], [-6], [-10], [-6], [6], [-22], [10], [10], [10]], q:[[13], [-3]], qb:[[-3], [9]], phi:[[-4]]] | 1 | {a: 470497/786432, c: 617441/786432, X1: 161/128, M1: 475/384, M2: 95/128, M3: 475/384, M4: 95/128, M5: 161/128, M6: 277/384, M7: 293/384, M8: 293/384, M9: 293/384, q1: 301/768, q2: 95/256, qb1: 95/256, qb2: 227/256, phi1: 95/192} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{6}M_{9}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{9}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{7}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}q_{1}q_{2}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}X_{1}$ | ${}M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}X_{1}$ | 2 | t^2.164 + t^2.227 + 3*t^2.289 + t^2.969 + 2*t^3.711 + 4*t^3.773 + t^3.836 + t^4.328 + t^4.391 + 2*t^4.453 + 2*t^4.516 + 6*t^4.578 + t^5.133 + t^5.195 + 5*t^5.258 + t^5.32 + 2*t^5.875 + 3*t^5.938 + 2*t^6. + 9*t^6.063 + 3*t^6.125 + t^6.492 + t^6.555 + 2*t^6.617 + 4*t^6.68 + 4*t^6.742 + 3*t^6.805 + 9*t^6.867 + t^7.297 + t^7.359 + 4*t^7.422 + 3*t^7.484 + 13*t^7.547 + 5*t^7.609 + t^7.672 + 2*t^8.039 + 3*t^8.102 + t^8.227 - 6*t^8.289 + 13*t^8.352 + 6*t^8.414 + t^8.656 + t^8.719 + 2*t^8.781 + 4*t^8.844 + 3*t^8.906 + 4*t^8.969 - t^4.484/y - t^6.648/y - t^6.773/y + t^7.391/y + (2*t^7.453)/y + (4*t^7.516)/y + (3*t^7.578)/y + t^8.133/y + (2*t^8.195)/y + (3*t^8.258)/y + t^8.32/y - t^8.813/y + (2*t^8.875)/y + (5*t^8.938)/y - t^4.484*y - t^6.648*y - t^6.773*y + t^7.391*y + 2*t^7.453*y + 4*t^7.516*y + 3*t^7.578*y + t^8.133*y + 2*t^8.195*y + 3*t^8.258*y + t^8.32*y - t^8.813*y + 2*t^8.875*y + 5*t^8.938*y | t^2.164/g1^22 + t^2.227/g1^6 + 3*g1^10*t^2.289 + t^2.969/g1^8 + (2*t^3.711)/g1^10 + 4*g1^6*t^3.773 + g1^22*t^3.836 + t^4.328/g1^44 + t^4.391/g1^28 + (2*t^4.453)/g1^12 + 2*g1^4*t^4.516 + 6*g1^20*t^4.578 + t^5.133/g1^30 + t^5.195/g1^14 + 5*g1^2*t^5.258 + g1^18*t^5.32 + (2*t^5.875)/g1^32 + (3*t^5.938)/g1^16 + 2*t^6. + 9*g1^16*t^6.063 + 3*g1^32*t^6.125 + t^6.492/g1^66 + t^6.555/g1^50 + (2*t^6.617)/g1^34 + (4*t^6.68)/g1^18 + (4*t^6.742)/g1^2 + 3*g1^14*t^6.805 + 9*g1^30*t^6.867 + t^7.297/g1^52 + t^7.359/g1^36 + (4*t^7.422)/g1^20 + (3*t^7.484)/g1^4 + 13*g1^12*t^7.547 + 5*g1^28*t^7.609 + g1^44*t^7.672 + (2*t^8.039)/g1^54 + (3*t^8.102)/g1^38 + t^8.227/g1^6 - 6*g1^10*t^8.289 + 13*g1^26*t^8.352 + 6*g1^42*t^8.414 + t^8.656/g1^88 + t^8.719/g1^72 + (2*t^8.781)/g1^56 + (4*t^8.844)/g1^40 + (3*t^8.906)/g1^24 + (4*t^8.969)/g1^8 - t^4.484/(g1^4*y) - t^6.648/(g1^26*y) - (g1^6*t^6.773)/y + t^7.391/(g1^28*y) + (2*t^7.453)/(g1^12*y) + (4*g1^4*t^7.516)/y + (3*g1^20*t^7.578)/y + t^8.133/(g1^30*y) + (2*t^8.195)/(g1^14*y) + (3*g1^2*t^8.258)/y + (g1^18*t^8.32)/y - t^8.813/(g1^48*y) + (2*t^8.875)/(g1^32*y) + (5*t^8.938)/(g1^16*y) - (t^4.484*y)/g1^4 - (t^6.648*y)/g1^26 - g1^6*t^6.773*y + (t^7.391*y)/g1^28 + (2*t^7.453*y)/g1^12 + 4*g1^4*t^7.516*y + 3*g1^20*t^7.578*y + (t^8.133*y)/g1^30 + (2*t^8.195*y)/g1^14 + 3*g1^2*t^8.258*y + g1^18*t^8.32*y - (t^8.813*y)/g1^48 + (2*t^8.875*y)/g1^32 + (5*t^8.938*y)/g1^16 |
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 |
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4708 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{8}$ + ${ }M_{3}M_{7}$ | 0.58 | 0.7521 | 0.7711 | [X:[1.2619], M:[1.2302, 0.7381, 1.2302, 0.7381, 1.2619, 0.7065, 0.7698, 0.7698], q:[0.4007, 0.3691], qb:[0.3691, 0.8928], phi:[0.4921]] | t^2.12 + t^2.214 + 2*t^2.309 + t^2.953 + 3*t^3.691 + 4*t^3.786 + t^3.88 + t^4.239 + t^4.334 + t^4.429 + t^4.524 + 3*t^4.619 + t^5.072 + t^5.167 + 4*t^5.262 + t^5.357 + 3*t^5.81 + 4*t^5.905 + 2*t^6. - t^4.476/y - t^4.476*y | detail |