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 |
---|---|---|---|---|---|---|---|---|---|
46910 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6497 | 0.8094 | 0.8027 | [M:[0.7774, 1.166, 0.834, 0.834, 0.7774], q:[0.834, 0.3887], qb:[0.4453, 0.7774], phi:[0.3887]] | [M:[[2], [3], [-3], [-3], [2]], q:[[-3], [1]], qb:[[-4], [2]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 3*t^2.332 + 2*t^2.502 + t^3.498 + t^3.668 + 2*t^3.838 + 6*t^4.664 + 7*t^4.834 + 3*t^5.004 + t^5.83 + 6*t^6.17 + 4*t^6.34 + 9*t^6.996 + 10*t^7.166 + 7*t^7.336 + 4*t^7.506 + 3*t^7.676 - 7*t^8.332 + 2*t^8.502 + 11*t^8.672 + 6*t^8.842 - t^4.166/y - (3*t^6.498)/y - t^6.668/y + (4*t^7.664)/y + (9*t^7.834)/y + t^8.004/y - (3*t^8.83)/y - t^4.166*y - 3*t^6.498*y - t^6.668*y + 4*t^7.664*y + 9*t^7.834*y + t^8.004*y - 3*t^8.83*y | 3*g1^2*t^2.332 + (2*t^2.502)/g1^3 + g1^3*t^3.498 + t^3.668/g1^2 + (2*t^3.838)/g1^7 + 6*g1^4*t^4.664 + (7*t^4.834)/g1 + (3*t^5.004)/g1^6 + g1^5*t^5.83 + (6*t^6.17)/g1^5 + (4*t^6.34)/g1^10 + 9*g1^6*t^6.996 + 10*g1*t^7.166 + (7*t^7.336)/g1^4 + (4*t^7.506)/g1^9 + (3*t^7.676)/g1^14 - 7*g1^2*t^8.332 + (2*t^8.502)/g1^3 + (11*t^8.672)/g1^8 + (6*t^8.842)/g1^13 - (g1*t^4.166)/y - (3*g1^3*t^6.498)/y - t^6.668/(g1^2*y) + (4*g1^4*t^7.664)/y + (9*t^7.834)/(g1*y) + t^8.004/(g1^6*y) - (3*g1^5*t^8.83)/y - g1*t^4.166*y - 3*g1^3*t^6.498*y - (t^6.668*y)/g1^2 + 4*g1^4*t^7.664*y + (9*t^7.834*y)/g1 + (t^8.004*y)/g1^6 - 3*g1^5*t^8.83*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 |
---|---|---|---|---|---|---|---|---|
55082 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.67 | 0.8476 | 0.7904 | [M:[0.7719, 1.1579, 0.8421, 0.8421, 0.7719, 0.7018], q:[0.8421, 0.386], qb:[0.4561, 0.7719], phi:[0.386]] | t^2.105 + 3*t^2.316 + 2*t^2.526 + t^3.474 + t^3.684 + t^3.895 + t^4.211 + 3*t^4.421 + 8*t^4.632 + 7*t^4.842 + 3*t^5.053 + t^5.579 + 2*t^5.789 + t^6. - t^4.158/y - t^4.158*y | detail | {a: 1935/2888, c: 306/361, M1: 44/57, M2: 22/19, M3: 16/19, M4: 16/19, M5: 44/57, M6: 40/57, q1: 16/19, q2: 22/57, qb1: 26/57, qb2: 44/57, phi1: 22/57} |
53014 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6676 | 0.8409 | 0.7939 | [M:[0.7732, 1.1598, 0.8402, 0.8402, 0.7732, 0.7732], q:[0.8402, 0.3866], qb:[0.4536, 0.7732], phi:[0.3866]] | 4*t^2.32 + 2*t^2.521 + t^3.479 + 2*t^3.882 + 10*t^4.639 + 9*t^4.84 + 3*t^5.041 + 2*t^5.799 - 3*t^6. - t^4.16/y - t^4.16*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 |
---|---|---|---|---|---|---|---|---|---|
46637 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.632 | 0.7786 | 0.8118 | [M:[0.7817, 1.1726, 0.8274, 0.8274], q:[0.8274, 0.3909], qb:[0.4366, 0.7817], phi:[0.3909]] | 2*t^2.345 + 2*t^2.482 + t^3.518 + 2*t^3.655 + 2*t^3.792 + 3*t^4.69 + 5*t^4.827 + 3*t^4.965 + t^6. - t^4.173/y - t^4.173*y | detail |