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 |
---|---|---|---|---|---|---|---|---|---|
55322 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.6919 | 0.8476 | 0.8162 | [M:[1.0153, 1.0031, 0.9847, 0.9908, 0.9969, 1.0092], q:[0.4954, 0.4893], qb:[0.5015, 0.5199], phi:[0.4985]] | [M:[[10], [2], [-10], [-6], [-2], [6]], q:[[-3], [-7]], qb:[[1], [13]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$ | ${}$ | -2 | t^2.954 + t^2.972 + 2*t^2.991 + t^3.028 + t^3.046 + t^3.064 + t^4.431 + t^4.449 + 2*t^4.468 + t^4.486 + t^4.505 + t^4.523 + t^4.541 + t^4.56 + t^4.615 + 2*t^5.945 + t^5.963 + 2*t^5.982 - 2*t^6. + t^6.018 + 2*t^6.037 + 2*t^6.055 + t^6.092 + t^6.11 + t^6.129 + t^7.385 + t^7.404 + 3*t^7.422 + 2*t^7.44 + 4*t^7.459 + t^7.477 + 2*t^7.495 + 2*t^7.514 + 3*t^7.532 + 2*t^7.551 + t^7.569 + 2*t^7.587 + 3*t^7.606 + t^7.642 + t^7.661 + t^7.679 + t^8.862 + t^8.881 + 2*t^8.899 + t^8.917 + 4*t^8.936 - 4*t^8.991 - t^4.495/y - t^7.486/y + t^7.505/y + t^8.926/y + (2*t^8.945)/y + (2*t^8.963)/y + (2*t^8.982)/y - t^4.495*y - t^7.486*y + t^7.505*y + t^8.926*y + 2*t^8.945*y + 2*t^8.963*y + 2*t^8.982*y | t^2.954/g1^10 + t^2.972/g1^6 + (2*t^2.991)/g1^2 + g1^6*t^3.028 + g1^10*t^3.046 + g1^14*t^3.064 + t^4.431/g1^15 + t^4.449/g1^11 + (2*t^4.468)/g1^7 + t^4.486/g1^3 + g1*t^4.505 + g1^5*t^4.523 + g1^9*t^4.541 + g1^13*t^4.56 + g1^25*t^4.615 + (2*t^5.945)/g1^12 + t^5.963/g1^8 + (2*t^5.982)/g1^4 - 2*t^6. + g1^4*t^6.018 + 2*g1^8*t^6.037 + 2*g1^12*t^6.055 + g1^20*t^6.092 + g1^24*t^6.11 + g1^28*t^6.129 + t^7.385/g1^25 + t^7.404/g1^21 + (3*t^7.422)/g1^17 + (2*t^7.44)/g1^13 + (4*t^7.459)/g1^9 + t^7.477/g1^5 + (2*t^7.495)/g1 + 2*g1^3*t^7.514 + 3*g1^7*t^7.532 + 2*g1^11*t^7.551 + g1^15*t^7.569 + 2*g1^19*t^7.587 + 3*g1^23*t^7.606 + g1^31*t^7.642 + g1^35*t^7.661 + g1^39*t^7.679 + t^8.862/g1^30 + t^8.881/g1^26 + (2*t^8.899)/g1^22 + t^8.917/g1^18 + (4*t^8.936)/g1^14 - (4*t^8.991)/g1^2 - t^4.495/(g1*y) - t^7.486/(g1^3*y) + (g1*t^7.505)/y + t^8.926/(g1^16*y) + (2*t^8.945)/(g1^12*y) + (2*t^8.963)/(g1^8*y) + (2*t^8.982)/(g1^4*y) - (t^4.495*y)/g1 - (t^7.486*y)/g1^3 + g1*t^7.505*y + (t^8.926*y)/g1^16 + (2*t^8.945*y)/g1^12 + (2*t^8.963*y)/g1^8 + (2*t^8.982*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
56958 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6916 | 0.8487 | 0.8149 | [M:[0.991, 0.9982, 1.009, 1.0054, 1.0018, 0.9946, 0.991], q:[0.5027, 0.5063], qb:[0.4991, 0.4883], phi:[0.5009]] | t^2.962 + 2*t^2.973 + t^2.984 + 2*t^3.005 + t^3.016 + t^4.433 + t^4.465 + t^4.476 + t^4.487 + t^4.497 + t^4.508 + 2*t^4.519 + t^4.53 + t^4.54 + t^5.924 + 2*t^5.935 + 3*t^5.946 + t^5.957 + 2*t^5.968 + 4*t^5.978 + t^5.989 - 3*t^6. - t^4.503/y - t^4.503*y | detail | |
56960 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ | 0.6931 | 0.8496 | 0.8159 | [M:[1.0303, 1.0061, 0.9697, 0.9818, 0.9939, 1.0182, 0.9818], q:[0.4909, 0.4788], qb:[0.503, 0.5394], phi:[0.497]] | t^2.909 + 2*t^2.945 + 2*t^2.982 + t^3.091 + t^3.127 + t^4.363 + t^4.4 + 2*t^4.436 + t^4.473 + t^4.509 + t^4.546 + t^4.582 + t^4.618 + t^4.728 + t^5.854 + 4*t^5.891 + 3*t^5.927 + t^5.964 - 3*t^6. - t^4.491/y - t^4.491*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 |
---|---|---|---|---|---|---|---|---|---|
46927 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.7143 | 0.8808 | 0.8109 | [M:[0.9724, 1.0548, 1.0276, 0.8356, 0.9452, 0.8628], q:[0.4178, 0.6098], qb:[0.5274, 0.5546], phi:[0.4726]] | t^2.507 + t^2.588 + 2*t^2.836 + t^2.917 + t^3.083 + t^3.246 + t^3.924 + t^4.253 + t^4.335 + t^4.501 + t^4.582 + t^4.664 + t^4.745 + t^4.829 + t^4.911 + t^5.013 + t^5.077 + t^5.095 + t^5.177 + 2*t^5.342 + 2*t^5.424 + t^5.505 + 3*t^5.671 + 2*t^5.753 + t^5.834 + t^5.918 - 3*t^6. - t^4.418/y - t^4.418*y | detail |