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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3139 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.6315 | 0.779 | 0.8106 | [X:[1.6066], M:[0.8198, 0.7538, 1.1802, 0.3934, 0.8198, 1.2132, 0.8198], q:[0.3934, 0.7868], qb:[0.4264, 0.8198], phi:[0.3934]] | [X:[[1]], M:[[3], [-7], [-3], [-1], [3], [2], [3]], q:[[-1], [-2]], qb:[[4], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{2}$ | ${}$ | -4 | t^2.261 + 3*t^2.459 + 4*t^3.64 + t^3.739 + t^4.523 + 3*t^4.721 + t^4.82 + 6*t^4.919 + 2*t^5.901 - 4*t^6. + 10*t^6.099 + 3*t^6.198 + t^6.784 + 3*t^6.982 - t^7.081 + 6*t^7.279 + 12*t^7.378 + t^7.477 + 2*t^8.162 - 4*t^8.261 + 3*t^8.36 - 12*t^8.459 + 17*t^8.558 + 6*t^8.657 - t^4.18/y - t^6.442/y - (2*t^6.64)/y + (5*t^7.721)/y + (4*t^7.919)/y - t^8.703/y + (2*t^8.901)/y - t^4.18*y - t^6.442*y - 2*t^6.64*y + 5*t^7.721*y + 4*t^7.919*y - t^8.703*y + 2*t^8.901*y | t^2.261/g1^7 + 3*g1^3*t^2.459 + 4*g1^2*t^3.64 + g1^7*t^3.739 + t^4.523/g1^14 + (3*t^4.721)/g1^4 + g1*t^4.82 + 6*g1^6*t^4.919 + (2*t^5.901)/g1^5 - 4*t^6. + 10*g1^5*t^6.099 + 3*g1^10*t^6.198 + t^6.784/g1^21 + (3*t^6.982)/g1^11 - t^7.081/g1^6 + 6*g1^4*t^7.279 + 12*g1^9*t^7.378 + g1^14*t^7.477 + (2*t^8.162)/g1^12 - (4*t^8.261)/g1^7 + (3*t^8.36)/g1^2 - 12*g1^3*t^8.459 + 17*g1^8*t^8.558 + 6*g1^13*t^8.657 - t^4.18/(g1*y) - t^6.442/(g1^8*y) - (2*g1^2*t^6.64)/y + (5*t^7.721)/(g1^4*y) + (4*g1^6*t^7.919)/y - t^8.703/(g1^15*y) + (2*t^8.901)/(g1^5*y) - (t^4.18*y)/g1 - (t^6.442*y)/g1^8 - 2*g1^2*t^6.64*y + (5*t^7.721*y)/g1^4 + 4*g1^6*t^7.919*y - (t^8.703*y)/g1^15 + (2*t^8.901*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|---|
2072 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6165 | 0.7522 | 0.8196 | [X:[1.6096], M:[0.8288, 0.7328, 1.1712, 0.3904, 0.8288, 1.2192], q:[0.3904, 0.7808], qb:[0.4384, 0.8288], phi:[0.3904]] | t^2.198 + 2*t^2.486 + t^3.514 + 4*t^3.658 + t^3.802 + t^4.397 + 2*t^4.685 + t^4.829 + 3*t^4.973 + t^5.712 + 2*t^5.856 - 2*t^6. - t^4.171/y - t^4.171*y | detail |