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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848 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6133 | 0.7914 | 0.7749 | [M:[0.9637, 1.1089, 1.0363, 0.8911, 0.7409], q:[0.7409, 0.2954], qb:[0.4455, 0.4455], phi:[0.5182]] | [M:[[4], [-12], [-4], [12], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -2 | 3*t^2.223 + t^2.673 + 2*t^3.109 + t^3.327 + 2*t^3.559 + t^3.777 + 3*t^4.228 + 6*t^4.446 + 3*t^4.896 + 6*t^5.332 + t^5.346 + t^5.55 + 7*t^5.782 - 2*t^6. + t^6.218 + 2*t^6.233 + 2*t^6.436 + 6*t^6.45 + t^6.654 + 10*t^6.668 + 3*t^6.901 - t^7.104 + 6*t^7.119 + 3*t^7.337 + 8*t^7.554 + 3*t^7.569 + 4*t^7.787 + 12*t^8.005 + t^8.019 - 11*t^8.223 + 3*t^8.441 + 12*t^8.455 + 2*t^8.659 + 4*t^8.673 + t^8.876 + 15*t^8.891 + 2*t^8.906 - t^4.554/y - t^6.777/y + (4*t^7.446)/y - t^7.663/y + (3*t^7.896)/y + (7*t^8.332)/y + (3*t^8.55)/y + (8*t^8.782)/y - t^4.554*y - t^6.777*y + 4*t^7.446*y - t^7.663*y + 3*t^7.896*y + 7*t^8.332*y + 3*t^8.55*y + 8*t^8.782*y | 3*g1*t^2.223 + g1^12*t^2.673 + (2*t^3.109)/g1^4 + t^3.327/g1^12 + 2*g1^7*t^3.559 + t^3.777/g1 + 3*g1^10*t^4.228 + 6*g1^2*t^4.446 + 3*g1^13*t^4.896 + (6*t^5.332)/g1^3 + g1^24*t^5.346 + t^5.55/g1^11 + 7*g1^8*t^5.782 - 2*t^6. + t^6.218/g1^8 + 2*g1^19*t^6.233 + (2*t^6.436)/g1^16 + 6*g1^11*t^6.45 + t^6.654/g1^24 + 10*g1^3*t^6.668 + 3*g1^22*t^6.901 - t^7.104/g1^13 + 6*g1^14*t^7.119 + 3*g1^6*t^7.337 + (8*t^7.554)/g1^2 + 3*g1^25*t^7.569 + 4*g1^17*t^7.787 + 12*g1^9*t^8.005 + g1^36*t^8.019 - 11*g1*t^8.223 + (3*t^8.441)/g1^7 + 12*g1^20*t^8.455 + (2*t^8.659)/g1^15 + 4*g1^12*t^8.673 + t^8.876/g1^23 + 15*g1^4*t^8.891 + 2*g1^31*t^8.906 - t^4.554/(g1^2*y) - t^6.777/(g1*y) + (4*g1^2*t^7.446)/y - t^7.663/(g1^6*y) + (3*g1^13*t^7.896)/y + (7*t^8.332)/(g1^3*y) + (3*t^8.55)/(g1^11*y) + (8*g1^8*t^8.782)/y - (t^4.554*y)/g1^2 - (t^6.777*y)/g1 + 4*g1^2*t^7.446*y - (t^7.663*y)/g1^6 + 3*g1^13*t^7.896*y + (7*t^8.332*y)/g1^3 + (3*t^8.55*y)/g1^11 + 8*g1^8*t^8.782*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 |
---|---|---|---|---|---|---|---|---|
1342 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ | 0.5348 | 0.6935 | 0.7712 | [M:[1.0769, 0.7692, 0.9231, 1.2308, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 4*t^2.308 + 2*t^2.769 + 2*t^3.692 + 2*t^4.154 + 8*t^4.615 + 11*t^5.077 + t^5.538 - t^4.385/y - t^4.385*y | detail | {a: 18801/35152, c: 12189/17576, M1: 14/13, M2: 10/13, M3: 12/13, M4: 16/13, M5: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
1343 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.5939 | 0.7557 | 0.7859 | [M:[0.9644, 1.1068, 1.0356, 0.8932, 0.7411, 1.2589], q:[0.7411, 0.2945], qb:[0.4466, 0.4466], phi:[0.5178]] | 2*t^2.223 + t^2.68 + 2*t^3.107 + t^3.32 + 2*t^3.563 + 2*t^3.777 + 3*t^4.233 + 3*t^4.447 + 2*t^4.903 + 4*t^5.33 + t^5.359 + 5*t^5.786 - t^6. - t^4.553/y - t^4.553*y | detail | |
1341 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.5938 | 0.7813 | 0.76 | [M:[0.9091, 1.2727, 1.0909, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 4*t^2.182 + 4*t^3.273 + 5*t^3.818 + 10*t^4.364 + 15*t^5.455 + 8*t^6. - t^4.636/y - t^4.636*y | detail | {a: 12645/21296, c: 8319/10648, M1: 10/11, M2: 14/11, M3: 12/11, M4: 8/11, M5: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
1345 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6327 | 0.8272 | 0.7649 | [M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]] | 4*t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + 2*t^3.556 + 3*t^4.222 + 10*t^4.444 + 4*t^4.889 + 9*t^5.333 + 2*t^5.556 + 9*t^5.778 - 5*t^6. - t^4.556/y - t^4.556*y | detail | {a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27} |
2038 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6294 | 0.8187 | 0.7688 | [M:[0.9719, 1.0844, 1.0281, 0.9156, 0.743, 0.7992], q:[0.743, 0.2852], qb:[0.4578, 0.4578], phi:[0.5141]] | 3*t^2.229 + t^2.398 + t^2.747 + 2*t^3.084 + t^3.253 + t^3.602 + t^3.771 + 3*t^4.289 + 6*t^4.458 + 3*t^4.627 + t^4.795 + 3*t^4.976 + t^5.145 + 6*t^5.313 + 3*t^5.482 + t^5.494 + t^5.651 + 4*t^5.831 - t^6. - t^4.542/y - t^4.542*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 |
---|---|---|---|---|---|---|---|---|---|
541 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6135 | 0.7921 | 0.7745 | [M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.196 + t^2.249 + t^2.674 + 2*t^3.109 + t^3.326 + t^3.533 + t^3.587 + t^3.751 + t^4.175 + t^4.228 + t^4.282 + 3*t^4.392 + 2*t^4.446 + t^4.499 + 2*t^4.87 + t^4.924 + 4*t^5.305 + t^5.348 + 2*t^5.358 + t^5.522 + 2*t^5.73 + 4*t^5.783 + t^5.836 + t^5.947 - 2*t^6. - t^4.554/y - t^4.554*y | detail |