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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2443 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6981 | 0.857 | 0.8145 | [M:[0.948, 1.0173, 1.052, 0.9133, 0.948, 1.0867, 0.948], q:[0.5087, 0.5433], qb:[0.4393, 0.5433], phi:[0.4913]] | [M:[[-6], [2], [6], [-10], [-6], [10], [-6]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}$ | -4 | 3*t^2.844 + 2*t^2.948 + t^3.052 + t^3.26 + t^4.11 + t^4.318 + 2*t^4.422 + t^4.526 + 2*t^4.63 + 3*t^4.734 + 4*t^5.688 + 5*t^5.792 + 4*t^5.896 - 4*t^6. + t^6.104 + t^6.208 - t^6.312 + t^6.52 + 3*t^6.954 + 2*t^7.058 + t^7.162 + 5*t^7.266 + 5*t^7.37 + t^7.474 + 7*t^7.578 + 5*t^7.682 - 2*t^7.786 + 3*t^7.994 + t^8.22 + t^8.428 + 6*t^8.532 + 6*t^8.636 + 10*t^8.74 - 4*t^8.844 - 8*t^8.948 - t^4.474/y - (2*t^7.318)/y + (2*t^7.63)/y + (3*t^8.688)/y + (6*t^8.792)/y + (4*t^8.896)/y - t^4.474*y - 2*t^7.318*y + 2*t^7.63*y + 3*t^8.688*y + 6*t^8.792*y + 4*t^8.896*y | (3*t^2.844)/g1^6 + (2*t^2.948)/g1^2 + g1^2*t^3.052 + g1^10*t^3.26 + t^4.11/g1^15 + t^4.318/g1^7 + (2*t^4.422)/g1^3 + g1*t^4.526 + 2*g1^5*t^4.63 + 3*g1^9*t^4.734 + (4*t^5.688)/g1^12 + (5*t^5.792)/g1^8 + (4*t^5.896)/g1^4 - 4*t^6. + g1^4*t^6.104 + g1^8*t^6.208 - g1^12*t^6.312 + g1^20*t^6.52 + (3*t^6.954)/g1^21 + (2*t^7.058)/g1^17 + t^7.162/g1^13 + (5*t^7.266)/g1^9 + (5*t^7.37)/g1^5 + t^7.474/g1 + 7*g1^3*t^7.578 + 5*g1^7*t^7.682 - 2*g1^11*t^7.786 + 3*g1^19*t^7.994 + t^8.22/g1^30 + t^8.428/g1^22 + (6*t^8.532)/g1^18 + (6*t^8.636)/g1^14 + (10*t^8.74)/g1^10 - (4*t^8.844)/g1^6 - (8*t^8.948)/g1^2 - t^4.474/(g1*y) - (2*t^7.318)/(g1^7*y) + (2*g1^5*t^7.63)/y + (3*t^8.688)/(g1^12*y) + (6*t^8.792)/(g1^8*y) + (4*t^8.896)/(g1^4*y) - (t^4.474*y)/g1 - (2*t^7.318*y)/g1^7 + 2*g1^5*t^7.63*y + (3*t^8.688*y)/g1^12 + (6*t^8.792*y)/g1^8 + (4*t^8.896*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1381 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6941 | 0.85 | 0.8166 | [M:[0.9667, 1.0111, 1.0333, 0.9445, 0.9667, 1.0555], q:[0.5056, 0.5278], qb:[0.4611, 0.5278], phi:[0.4944]] | 2*t^2.9 + 2*t^2.967 + t^3.033 + t^3.1 + t^3.167 + t^4.25 + t^4.383 + 2*t^4.45 + t^4.517 + 2*t^4.583 + 3*t^4.65 + t^5.8 + 3*t^5.867 + 3*t^5.933 - 2*t^6. - t^4.483/y - t^4.483*y | detail |