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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3268 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6303 | 0.7808 | 0.8072 | [X:[1.6], M:[0.7831, 0.8169, 1.2, 0.4, 0.7915], q:[0.4042, 0.8127], qb:[0.3958, 0.7873], phi:[0.4]] | [X:[[0]], M:[[4], [-4], [0], [0], [2]], q:[[-1], [-3]], qb:[[1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | 0 | t^2.349 + t^2.375 + t^2.4 + t^2.451 + 2*t^3.575 + 2*t^3.6 + t^3.625 + t^4.699 + t^4.724 + 2*t^4.749 + t^4.775 + 3*t^4.8 + t^4.825 + t^4.851 + t^4.901 + 2*t^5.924 + 3*t^5.949 + 3*t^5.975 + t^6.025 + t^6.051 + t^6.076 + t^7.048 + t^7.073 + 2*t^7.099 + 2*t^7.124 + 5*t^7.149 + 3*t^7.175 + 4*t^7.2 - t^7.225 + 2*t^7.251 + t^7.276 + t^7.301 + t^7.352 + 2*t^8.273 + 3*t^8.299 + 4*t^8.324 + t^8.375 + t^8.4 - 2*t^8.451 + t^8.476 + t^8.501 + t^8.527 - t^4.2/y - t^6.549/y - t^6.575/y - t^6.651/y + t^7.724/y + (2*t^7.749)/y + t^7.775/y + t^7.8/y + (2*t^7.825)/y + (2*t^7.851)/y - t^8.899/y + t^8.924/y + (3*t^8.949)/y + (5*t^8.975)/y - t^4.2*y - t^6.549*y - t^6.575*y - t^6.651*y + t^7.724*y + 2*t^7.749*y + t^7.775*y + t^7.8*y + 2*t^7.825*y + 2*t^7.851*y - t^8.899*y + t^8.924*y + 3*t^8.949*y + 5*t^8.975*y | g1^4*t^2.349 + g1^2*t^2.375 + t^2.4 + t^2.451/g1^4 + 2*g1^2*t^3.575 + 2*t^3.6 + t^3.625/g1^2 + g1^8*t^4.699 + g1^6*t^4.724 + 2*g1^4*t^4.749 + g1^2*t^4.775 + 3*t^4.8 + t^4.825/g1^2 + t^4.851/g1^4 + t^4.901/g1^8 + 2*g1^6*t^5.924 + 3*g1^4*t^5.949 + 3*g1^2*t^5.975 + t^6.025/g1^2 + t^6.051/g1^4 + t^6.076/g1^6 + g1^12*t^7.048 + g1^10*t^7.073 + 2*g1^8*t^7.099 + 2*g1^6*t^7.124 + 5*g1^4*t^7.149 + 3*g1^2*t^7.175 + 4*t^7.2 - t^7.225/g1^2 + (2*t^7.251)/g1^4 + t^7.276/g1^6 + t^7.301/g1^8 + t^7.352/g1^12 + 2*g1^10*t^8.273 + 3*g1^8*t^8.299 + 4*g1^6*t^8.324 + g1^2*t^8.375 + t^8.4 - (2*t^8.451)/g1^4 + t^8.476/g1^6 + t^8.501/g1^8 + t^8.527/g1^10 - t^4.2/y - (g1^4*t^6.549)/y - (g1^2*t^6.575)/y - t^6.651/(g1^4*y) + (g1^6*t^7.724)/y + (2*g1^4*t^7.749)/y + (g1^2*t^7.775)/y + t^7.8/y + (2*t^7.825)/(g1^2*y) + (2*t^7.851)/(g1^4*y) - (g1^8*t^8.899)/y + (g1^6*t^8.924)/y + (3*g1^4*t^8.949)/y + (5*g1^2*t^8.975)/y - t^4.2*y - g1^4*t^6.549*y - g1^2*t^6.575*y - (t^6.651*y)/g1^4 + g1^6*t^7.724*y + 2*g1^4*t^7.749*y + g1^2*t^7.775*y + t^7.8*y + (2*t^7.825*y)/g1^2 + (2*t^7.851*y)/g1^4 - g1^8*t^8.899*y + g1^6*t^8.924*y + 3*g1^4*t^8.949*y + 5*g1^2*t^8.975*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 |
---|---|---|---|---|---|---|---|---|
3698 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}X_{2}$ | 0.5693 | 0.6881 | 0.8274 | [X:[1.6, 1.4], M:[1.0, 0.6, 1.2, 0.4, 0.9], q:[0.35, 0.65], qb:[0.45, 0.95], phi:[0.4]] | t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 2*t^3.9 + t^4.2 + 2*t^4.8 + t^5.1 + t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 18219/32000, c: 22019/32000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 6/5, M4: 2/5, M5: 9/10, q1: 7/20, q2: 13/20, qb1: 9/20, qb2: 19/20, phi1: 2/5} |
3699 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6475 | 0.812 | 0.7974 | [X:[1.6], M:[0.7678, 0.8322, 1.2, 0.4, 0.7839, 0.7839], q:[0.4081, 0.8242], qb:[0.3919, 0.7758], phi:[0.4]] | t^2.303 + 2*t^2.352 + t^2.4 + t^2.497 + 2*t^3.552 + 2*t^3.6 + t^4.607 + 2*t^4.655 + 4*t^4.703 + 2*t^4.752 + 3*t^4.8 + 2*t^4.848 + t^4.897 + t^4.993 + 2*t^5.855 + 5*t^5.903 + 4*t^5.952 - t^6. - t^4.2/y - t^4.2*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
2756 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6312 | 0.7837 | 0.8054 | [X:[1.6], M:[0.7866, 0.8134, 1.2, 0.4, 0.7599], q:[0.3866, 0.8267], qb:[0.4134, 0.7733], phi:[0.4]] | t^2.28 + t^2.36 + t^2.4 + t^2.44 + t^3.48 + t^3.52 + 2*t^3.6 + t^3.68 + t^4.559 + t^4.64 + t^4.68 + 2*t^4.72 + t^4.76 + 3*t^4.8 + t^4.84 + t^4.88 + t^5.759 + t^5.8 + t^5.84 + 3*t^5.88 + t^5.92 + 3*t^5.96 - t^6. - t^4.2/y - t^4.2*y | detail |