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 |
---|---|---|---|---|---|---|---|---|---|
60043 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3781 | 1.6053 | 0.8584 | [X:[], M:[1.1821, 1.1821], q:[0.4239, 0.388], qb:[0.394, 0.394], phi:[0.4]] | [X:[], M:[[1, 2], [2, 1]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.35 + t^2.4 + 4*t^3.55 + t^3.6 + 2*t^3.65 + 3*t^4.69 + 6*t^4.75 + 2*t^4.8 + 2*t^4.85 + t^4.91 + 7*t^5.89 + 8*t^5.95 + 2*t^6.05 + 4*t^7.04 + 20*t^7.09 + 14*t^7.15 + 9*t^7.2 + 2*t^7.25 + 4*t^7.31 + t^7.42 + 10*t^8.24 + 24*t^8.29 + 6*t^8.35 + 6*t^8.4 + 2*t^8.45 + 3*t^8.51 - t^4.2/y - t^5.4/y - (2*t^6.55)/y - t^6.6/y + t^7.69/y - (2*t^7.75)/y - t^7.8/y + (5*t^8.89)/y - t^4.2*y - t^5.4*y - 2*t^6.55*y - t^6.6*y + t^7.69*y - 2*t^7.75*y - t^7.8*y + 5*t^8.89*y | g1^2*g2*t^2.35 + g1*g2^2*t^2.35 + t^2.4 + 2*g1^2*g2*t^3.55 + 2*g1*g2^2*t^3.55 + t^3.6 + t^3.65/(g1*g2^2) + t^3.65/(g1^2*g2) + g1^4*g2^2*t^4.69 + g1^3*g2^3*t^4.69 + g1^2*g2^4*t^4.69 + 3*g1^2*g2*t^4.75 + 3*g1*g2^2*t^4.75 + 2*t^4.8 + t^4.85/(g1*g2^2) + t^4.85/(g1^2*g2) + t^4.91/(g1^3*g2^3) + 2*g1^4*g2^2*t^5.89 + 3*g1^3*g2^3*t^5.89 + 2*g1^2*g2^4*t^5.89 + 4*g1^2*g2*t^5.95 + 4*g1*g2^2*t^5.95 + t^6.05/(g1*g2^2) + t^6.05/(g1^2*g2) + g1^6*g2^3*t^7.04 + g1^5*g2^4*t^7.04 + g1^4*g2^5*t^7.04 + g1^3*g2^6*t^7.04 + 6*g1^4*g2^2*t^7.09 + 8*g1^3*g2^3*t^7.09 + 6*g1^2*g2^4*t^7.09 + g1^3*t^7.15 + 6*g1^2*g2*t^7.15 + 6*g1*g2^2*t^7.15 + g2^3*t^7.15 + 5*t^7.2 + (2*g1*t^7.2)/g2 + (2*g2*t^7.2)/g1 + t^7.25/(g1*g2^2) + t^7.25/(g1^2*g2) + t^7.31/(g1^2*g2^4) + (2*t^7.31)/(g1^3*g2^3) + t^7.31/(g1^4*g2^2) + t^7.42/(g1^6*g2^6) + 2*g1^6*g2^3*t^8.24 + 3*g1^5*g2^4*t^8.24 + 3*g1^4*g2^5*t^8.24 + 2*g1^3*g2^6*t^8.24 + 7*g1^4*g2^2*t^8.29 + 10*g1^3*g2^3*t^8.29 + 7*g1^2*g2^4*t^8.29 + 3*g1^2*g2*t^8.35 + 3*g1*g2^2*t^8.35 + 2*t^8.4 + (2*g1*t^8.4)/g2 + (2*g2*t^8.4)/g1 + t^8.45/(g1*g2^2) + t^8.45/(g1^2*g2) + t^8.51/(g1^2*g2^4) + t^8.51/(g1^3*g2^3) + t^8.51/(g1^4*g2^2) - t^4.2/y - t^5.4/y - (g1^2*g2*t^6.55)/y - (g1*g2^2*t^6.55)/y - t^6.6/y + (g1^3*g2^3*t^7.69)/y - (g1^2*g2*t^7.75)/y - (g1*g2^2*t^7.75)/y - t^7.8/y + (g1^4*g2^2*t^8.89)/y + (3*g1^3*g2^3*t^8.89)/y + (g1^2*g2^4*t^8.89)/y - t^4.2*y - t^5.4*y - g1^2*g2*t^6.55*y - g1*g2^2*t^6.55*y - t^6.6*y + g1^3*g2^3*t^7.69*y - g1^2*g2*t^7.75*y - g1*g2^2*t^7.75*y - t^7.8*y + g1^4*g2^2*t^8.89*y + 3*g1^3*g2^3*t^8.89*y + g1^2*g2^4*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
61086 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.3611 | 1.5748 | 0.8643 | [X:[], M:[1.1801, 1.2024, 1.1976], q:[0.4117, 0.3942], qb:[0.4082, 0.3859], phi:[0.4]] | t^2.34 + t^2.4 + 2*t^3.54 + 2*t^3.59 + t^3.6 + 2*t^3.61 + t^3.66 + t^4.68 + 3*t^4.74 + t^4.79 + 2*t^4.8 + 2*t^4.81 + t^4.85 + t^4.86 + 2*t^5.88 + t^5.93 + 4*t^5.94 + t^5.95 + 2*t^5.99 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
---|---|---|---|---|---|---|---|---|---|
57444 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.3941 | 1.6328 | 0.8538 | [M:[1.1802], q:[0.412, 0.394], qb:[0.4079, 0.3861], phi:[0.4]] | t^2.34 + t^2.394 + t^2.4 + t^2.406 + 2*t^3.54 + t^3.594 + t^3.6 + t^3.606 + t^3.66 + t^4.681 + t^4.735 + 3*t^4.74 + t^4.746 + t^4.789 + 2*t^4.794 + 3*t^4.8 + 3*t^4.806 + t^4.811 + t^4.854 + t^4.86 + 2*t^5.881 + 2*t^5.935 + 4*t^5.94 + 2*t^5.946 + t^5.989 + 2*t^5.994 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |