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 |
---|---|---|---|---|---|---|---|---|---|
2038 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 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]] | [M:[[4], [-12], [-4], [12], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | 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. + 2*t^6.169 + 2*t^6.338 + t^6.349 + t^6.506 + 6*t^6.518 + 11*t^6.687 + 5*t^6.855 + 2*t^7.024 + 3*t^7.036 + t^7.193 + 4*t^7.205 + 5*t^7.373 + 9*t^7.542 + 6*t^7.711 + 3*t^7.723 + 3*t^7.88 + 2*t^7.891 + t^8.048 + 6*t^8.06 - 7*t^8.229 + t^8.241 + 2*t^8.398 + 4*t^8.566 + 9*t^8.578 + 3*t^8.735 + 5*t^8.747 + t^8.904 + 15*t^8.916 - t^4.542/y - t^6.771/y - t^6.94/y + (4*t^7.458)/y + (2*t^7.627)/y + (3*t^7.976)/y + (2*t^8.145)/y + (7*t^8.313)/y + (5*t^8.482)/y + t^8.651/y + (5*t^8.831)/y - t^4.542*y - t^6.771*y - t^6.94*y + 4*t^7.458*y + 2*t^7.627*y + 3*t^7.976*y + 2*t^8.145*y + 7*t^8.313*y + 5*t^8.482*y + t^8.651*y + 5*t^8.831*y | 3*g1*t^2.229 + t^2.398/g1^7 + g1^12*t^2.747 + (2*t^3.084)/g1^4 + t^3.253/g1^12 + g1^7*t^3.602 + t^3.771/g1 + 3*g1^10*t^4.289 + 6*g1^2*t^4.458 + (3*t^4.627)/g1^6 + t^4.795/g1^14 + 3*g1^13*t^4.976 + g1^5*t^5.145 + (6*t^5.313)/g1^3 + (3*t^5.482)/g1^11 + g1^24*t^5.494 + t^5.651/g1^19 + 4*g1^8*t^5.831 - t^6. + (2*t^6.169)/g1^8 + (2*t^6.338)/g1^16 + g1^19*t^6.349 + t^6.506/g1^24 + 6*g1^11*t^6.518 + 11*g1^3*t^6.687 + (5*t^6.855)/g1^5 + (2*t^7.024)/g1^13 + 3*g1^22*t^7.036 + t^7.193/g1^21 + 4*g1^14*t^7.205 + 5*g1^6*t^7.373 + (9*t^7.542)/g1^2 + (6*t^7.711)/g1^10 + 3*g1^25*t^7.723 + (3*t^7.88)/g1^18 + 2*g1^17*t^7.891 + t^8.048/g1^26 + 6*g1^9*t^8.06 - 7*g1*t^8.229 + g1^36*t^8.241 + (2*t^8.398)/g1^7 + (4*t^8.566)/g1^15 + 9*g1^20*t^8.578 + (3*t^8.735)/g1^23 + 5*g1^12*t^8.747 + t^8.904/g1^31 + 15*g1^4*t^8.916 - t^4.542/(g1^2*y) - t^6.771/(g1*y) - t^6.94/(g1^9*y) + (4*g1^2*t^7.458)/y + (2*t^7.627)/(g1^6*y) + (3*g1^13*t^7.976)/y + (2*g1^5*t^8.145)/y + (7*t^8.313)/(g1^3*y) + (5*t^8.482)/(g1^11*y) + t^8.651/(g1^19*y) + (5*g1^8*t^8.831)/y - (t^4.542*y)/g1^2 - (t^6.771*y)/g1 - (t^6.94*y)/g1^9 + 4*g1^2*t^7.458*y + (2*t^7.627*y)/g1^6 + 3*g1^13*t^7.976*y + 2*g1^5*t^8.145*y + (7*t^8.313*y)/g1^3 + (5*t^8.482*y)/g1^11 + (t^8.651*y)/g1^19 + 5*g1^8*t^8.831*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 |
---|---|---|---|---|---|---|---|---|
3106 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6253 | 0.8161 | 0.7662 | [M:[0.9474, 1.1579, 1.0526, 0.8421, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 3*t^2.211 + 2*t^2.526 + 2*t^3.158 + 2*t^3.474 + t^3.789 + 3*t^4.105 + 6*t^4.421 + 6*t^4.737 + 3*t^5.053 + 6*t^5.368 + 7*t^5.684 + t^6. - t^4.579/y - t^4.579*y | detail | {a: 34311/54872, c: 11195/13718, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
3107 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6394 | 0.8382 | 0.7628 | [M:[0.9549, 1.1354, 1.0451, 0.8646, 0.7387, 0.829, 0.8646], q:[0.7387, 0.3064], qb:[0.4323, 0.4323], phi:[0.5226]] | 3*t^2.216 + t^2.487 + 2*t^2.594 + 2*t^3.135 + t^3.513 + t^3.784 + 3*t^4.161 + 6*t^4.432 + 3*t^4.703 + 6*t^4.81 + t^4.974 + 2*t^5.081 + 3*t^5.187 + 6*t^5.352 + 6*t^5.729 - 2*t^6. - t^4.568/y - t^4.568*y | detail | |
3108 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6463 | 0.8485 | 0.7618 | [M:[0.9789, 1.0632, 1.0211, 0.9368, 0.7447, 0.7868, 0.7868], q:[0.7447, 0.2763], qb:[0.4684, 0.4684], phi:[0.5105]] | 3*t^2.234 + 2*t^2.361 + t^2.811 + 2*t^3.063 + t^3.189 + t^3.766 + 3*t^4.342 + 6*t^4.468 + 6*t^4.595 + 3*t^4.721 + 3*t^5.045 + 2*t^5.171 + 6*t^5.297 + 5*t^5.424 + 2*t^5.55 + t^5.621 + t^5.874 - 2*t^6. - t^4.532/y - t^4.532*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.554/y - t^4.554*y | detail |