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 |
---|---|---|---|---|---|---|---|---|---|
46642 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5452 | 0.6976 | 0.7815 | [M:[0.8786, 1.1214, 0.8786, 0.8786], q:[0.9017, 0.659], qb:[0.2197, 0.4624], phi:[0.4393]] | [M:[[-4], [4], [-4], [-4]], q:[[5], [-3]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | -2 | t^2.046 + 5*t^2.636 + t^3.364 + 3*t^4.093 + 6*t^4.682 + 13*t^5.272 + t^5.41 - 2*t^6. + 3*t^6.139 - 2*t^6.59 + 10*t^6.728 + 12*t^7.318 + t^7.457 + 25*t^7.907 - 7*t^8.046 + 6*t^8.185 - 19*t^8.636 + 10*t^8.775 - t^4.318/y - (3*t^6.954)/y + (8*t^7.682)/y + (10*t^8.272)/y + t^8.41/y - t^4.318*y - 3*t^6.954*y + 8*t^7.682*y + 10*t^8.272*y + t^8.41*y | g1^6*t^2.046 + (5*t^2.636)/g1^4 + g1^4*t^3.364 + 3*g1^12*t^4.093 + 6*g1^2*t^4.682 + (13*t^5.272)/g1^8 + g1^10*t^5.41 - 2*t^6. + 3*g1^18*t^6.139 - (2*t^6.59)/g1^10 + 10*g1^8*t^6.728 + (12*t^7.318)/g1^2 + g1^16*t^7.457 + (25*t^7.907)/g1^12 - 7*g1^6*t^8.046 + 6*g1^24*t^8.185 - (19*t^8.636)/g1^4 + 10*g1^14*t^8.775 - t^4.318/(g1^2*y) - (3*t^6.954)/(g1^6*y) + (8*g1^2*t^7.682)/y + (10*t^8.272)/(g1^8*y) + (g1^10*t^8.41)/y - (t^4.318*y)/g1^2 - (3*t^6.954*y)/g1^6 + 8*g1^2*t^7.682*y + (10*t^8.272*y)/g1^8 + g1^10*t^8.41*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 |
---|---|---|---|---|---|---|---|---|
48135 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.5565 | 0.7168 | 0.7763 | [M:[0.8686, 1.1314, 0.8686, 0.8686, 0.8686], q:[0.9143, 0.6514], qb:[0.2171, 0.48], phi:[0.4343]] | t^2.091 + 6*t^2.606 + 3*t^4.183 + 7*t^4.697 + 19*t^5.212 - 7*t^6. - t^4.303/y - t^4.303*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 |
---|---|---|---|---|---|---|---|---|---|
46197 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.566 | 0.7275 | 0.778 | [M:[0.8593, 0.9861, 0.7047, 1.0139], q:[0.7712, 0.7991], qb:[0.2148, 0.4962], phi:[0.4297]] | t^2.114 + t^2.133 + 3*t^2.578 + t^2.958 + t^3.042 + t^3.802 + t^4.228 + t^4.247 + 2*t^4.266 + 3*t^4.692 + 4*t^4.711 + t^5.072 + t^5.091 + 6*t^5.156 + t^5.175 + 2*t^5.536 + 2*t^5.62 + 2*t^5.916 + t^5.935 - 3*t^6. - t^4.289/y - t^4.289*y | detail |