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 |
---|---|---|---|---|---|---|---|---|---|
54980 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6393 | 0.8004 | 0.7988 | [M:[0.8279, 0.7348, 1.1721, 0.7348, 1.2186, 0.6882], q:[0.8047, 0.3674], qb:[0.4605, 0.8047], phi:[0.3907]] | [M:[[6], [-14], [-6], [-14], [4], [-24]], q:[[1], [-7]], qb:[[13], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.065 + 2*t^2.204 + t^2.484 + t^3.376 + 2*t^3.516 + 2*t^3.656 + t^4.129 + 2*t^4.269 + 3*t^4.409 + t^4.549 + 2*t^4.688 + t^4.828 + t^4.968 + t^5.441 + 4*t^5.581 + 5*t^5.721 + 3*t^5.86 - t^6. + t^6.194 - t^6.279 + 2*t^6.334 + 3*t^6.473 + 5*t^6.613 + 3*t^6.753 + 5*t^6.893 + 5*t^7.032 + 2*t^7.172 - t^7.312 - 2*t^7.451 + t^7.506 - t^7.591 + 4*t^7.646 + 8*t^7.785 + 7*t^7.925 + 3*t^8.065 - 3*t^8.204 + t^8.259 - t^8.344 + 2*t^8.398 - 3*t^8.484 + 3*t^8.538 - 2*t^8.624 + 5*t^8.678 - 2*t^8.763 + 8*t^8.818 + 7*t^8.957 - t^4.172/y - t^6.237/y - (2*t^6.376)/y + (2*t^7.269)/y + t^7.409/y + t^7.549/y + (2*t^7.688)/y + (2*t^7.968)/y + t^8.107/y - t^8.301/y - t^8.441/y + t^8.581/y + (6*t^8.721)/y + (5*t^8.86)/y - t^4.172*y - t^6.237*y - 2*t^6.376*y + 2*t^7.269*y + t^7.409*y + t^7.549*y + 2*t^7.688*y + 2*t^7.968*y + t^8.107*y - t^8.301*y - t^8.441*y + t^8.581*y + 6*t^8.721*y + 5*t^8.86*y | t^2.065/g1^24 + (2*t^2.204)/g1^14 + g1^6*t^2.484 + t^3.376/g1^16 + (2*t^3.516)/g1^6 + 2*g1^4*t^3.656 + t^4.129/g1^48 + (2*t^4.269)/g1^38 + (3*t^4.409)/g1^28 + t^4.549/g1^18 + (2*t^4.688)/g1^8 + g1^2*t^4.828 + g1^12*t^4.968 + t^5.441/g1^40 + (4*t^5.581)/g1^30 + (5*t^5.721)/g1^20 + (3*t^5.86)/g1^10 - t^6. + t^6.194/g1^72 - g1^20*t^6.279 + (2*t^6.334)/g1^62 + (3*t^6.473)/g1^52 + (5*t^6.613)/g1^42 + (3*t^6.753)/g1^32 + (5*t^6.893)/g1^22 + (5*t^7.032)/g1^12 + (2*t^7.172)/g1^2 - g1^8*t^7.312 - 2*g1^18*t^7.451 + t^7.506/g1^64 - g1^28*t^7.591 + (4*t^7.646)/g1^54 + (8*t^7.785)/g1^44 + (7*t^7.925)/g1^34 + (3*t^8.065)/g1^24 - (3*t^8.204)/g1^14 + t^8.259/g1^96 - t^8.344/g1^4 + (2*t^8.398)/g1^86 - 3*g1^6*t^8.484 + (3*t^8.538)/g1^76 - 2*g1^16*t^8.624 + (5*t^8.678)/g1^66 - 2*g1^26*t^8.763 + (8*t^8.818)/g1^56 + (7*t^8.957)/g1^46 - t^4.172/(g1^2*y) - t^6.237/(g1^26*y) - (2*t^6.376)/(g1^16*y) + (2*t^7.269)/(g1^38*y) + t^7.409/(g1^28*y) + t^7.549/(g1^18*y) + (2*t^7.688)/(g1^8*y) + (2*g1^12*t^7.968)/y + (g1^22*t^8.107)/y - t^8.301/(g1^50*y) - t^8.441/(g1^40*y) + t^8.581/(g1^30*y) + (6*t^8.721)/(g1^20*y) + (5*t^8.86)/(g1^10*y) - (t^4.172*y)/g1^2 - (t^6.237*y)/g1^26 - (2*t^6.376*y)/g1^16 + (2*t^7.269*y)/g1^38 + (t^7.409*y)/g1^28 + (t^7.549*y)/g1^18 + (2*t^7.688*y)/g1^8 + 2*g1^12*t^7.968*y + g1^22*t^8.107*y - (t^8.301*y)/g1^50 - (t^8.441*y)/g1^40 + (t^8.581*y)/g1^30 + (6*t^8.721*y)/g1^20 + (5*t^8.86*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
56638 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.551 | 0.676 | 0.8151 | [M:[0.7368, 0.9474, 1.2632, 0.9474, 1.1579, 1.0526], q:[0.7895, 0.4737], qb:[0.2632, 0.7895], phi:[0.4211]] | t^2.211 + 2*t^2.842 + t^3.158 + 2*t^3.474 + 2*t^3.789 + t^4.105 + t^4.421 + t^4.737 + 2*t^5.053 + 3*t^5.684 + t^6. - t^4.263/y - t^4.263*y | detail | {a: 30237/54872, c: 4637/6859, M1: 14/19, M2: 18/19, M3: 24/19, M4: 18/19, M5: 22/19, M6: 20/19, q1: 15/19, q2: 9/19, qb1: 5/19, qb2: 15/19, phi1: 8/19} |
56642 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6514 | 0.8184 | 0.7959 | [M:[0.8197, 0.754, 1.1803, 0.754, 1.2131, 0.7211, 0.8526], q:[0.8033, 0.377], qb:[0.4427, 0.8033], phi:[0.3934]] | t^2.163 + 2*t^2.262 + t^2.459 + t^2.558 + 2*t^3.541 + 2*t^3.639 + t^4.327 + 2*t^4.425 + 3*t^4.524 + t^4.623 + 3*t^4.721 + 3*t^4.82 + t^4.918 + t^5.017 + t^5.116 + 2*t^5.704 + 5*t^5.803 + 2*t^5.901 - t^6. - t^4.18/y - t^4.18*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 |
---|---|---|---|---|---|---|---|---|---|
48134 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6187 | 0.7598 | 0.8142 | [M:[0.8251, 0.7414, 1.1749, 0.7414, 1.2167], q:[0.8042, 0.3707], qb:[0.4544, 0.8042], phi:[0.3916]] | 2*t^2.224 + t^2.475 + t^3.399 + 2*t^3.525 + 2*t^3.65 + t^3.901 + 3*t^4.449 + 2*t^4.7 + t^4.825 + t^4.951 + 2*t^5.623 + 3*t^5.749 + 3*t^5.874 - t^6. - t^4.175/y - t^4.175*y | detail |