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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1710 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7078 | 0.8723 | 0.8115 | [M:[0.7377, 0.7377, 0.7377], q:[0.8156, 0.4467], qb:[0.6311, 0.6311], phi:[0.3689]] | [M:[[-4, -4], [-4, -4], [-4, -4]], q:[[1, 1], [3, 3]], qb:[[4, 0], [0, 4]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$ | ${}$ | -6 | 4*t^2.213 + 2*t^3.234 + 4*t^4.34 + 10*t^4.426 + 3*t^4.893 + 6*t^5.447 - 6*t^6. + 3*t^6.467 + 8*t^6.553 + 20*t^6.639 + 7*t^7.107 + 5*t^7.574 + 10*t^7.66 - 21*t^8.213 + 7*t^8.68 + 12*t^8.766 + 35*t^8.853 - t^4.107/y - (4*t^6.32)/y + (6*t^7.426)/y + (4*t^7.893)/y + (8*t^8.447)/y - (10*t^8.533)/y - t^4.107*y - 4*t^6.32*y + 6*t^7.426*y + 4*t^7.893*y + 8*t^8.447*y - 10*t^8.533*y | (4*t^2.213)/(g1^4*g2^4) + g1^7*g2^3*t^3.234 + g1^3*g2^7*t^3.234 + 2*g1^5*g2*t^4.34 + 2*g1*g2^5*t^4.34 + (10*t^4.426)/(g1^8*g2^8) + (g1^6*t^4.893)/g2^2 + g1^2*g2^2*t^4.893 + (g2^6*t^4.893)/g1^2 + (3*g1^3*t^5.447)/g2 + (3*g2^3*t^5.447)/g1 - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^14*g2^6*t^6.467 + g1^10*g2^10*t^6.467 + g1^6*g2^14*t^6.467 + (4*g1*t^6.553)/g2^3 + (4*g2*t^6.553)/g1^3 + (20*t^6.639)/(g1^12*g2^12) + (3*g1^2*t^7.107)/g2^6 + t^7.107/(g1^2*g2^2) + (3*g2^2*t^7.107)/g1^6 + 2*g1^12*g2^4*t^7.574 + g1^8*g2^8*t^7.574 + 2*g1^4*g2^12*t^7.574 + (5*t^7.66)/(g1*g2^5) + (5*t^7.66)/(g1^5*g2) + g1^13*g2*t^8.127 - g1^9*g2^5*t^8.127 - g1^5*g2^9*t^8.127 + g1*g2^13*t^8.127 - (3*t^8.213)/g1^8 - (3*t^8.213)/g2^8 - (15*t^8.213)/(g1^4*g2^4) + 3*g1^10*g2^2*t^8.68 + g1^6*g2^6*t^8.68 + 3*g1^2*g2^10*t^8.68 + (6*t^8.766)/(g1^3*g2^7) + (6*t^8.766)/(g1^7*g2^3) + (35*t^8.853)/(g1^16*g2^16) - t^4.107/(g1^2*g2^2*y) - (4*t^6.32)/(g1^6*g2^6*y) + (6*t^7.426)/(g1^8*g2^8*y) + (4*g1^2*g2^2*t^7.893)/y + (4*g1^3*t^8.447)/(g2*y) + (4*g2^3*t^8.447)/(g1*y) - (10*t^8.533)/(g1^10*g2^10*y) - (t^4.107*y)/(g1^2*g2^2) - (4*t^6.32*y)/(g1^6*g2^6) + (6*t^7.426*y)/(g1^8*g2^8) + 4*g1^2*g2^2*t^7.893*y + (4*g1^3*t^8.447*y)/g2 + (4*g2^3*t^8.447*y)/g1 - (10*t^8.533*y)/(g1^10*g2^10) |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
94 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6885 | 0.8369 | 0.8227 | [M:[0.7483, 0.7483], q:[0.8129, 0.4388], qb:[0.6259, 0.6259], phi:[0.3741]] | 3*t^2.245 + 2*t^3.194 + t^3.755 + 4*t^4.316 + 6*t^4.49 + 3*t^4.878 + 4*t^5.439 - 3*t^6. - t^4.122/y - t^4.122*y | detail |