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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6365 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ + ${ }M_{8}M_{9}$ | 0.6921 | 0.8823 | 0.7845 | [M:[0.885, 0.715, 0.7575, 0.8425, 1.1575, 0.7575, 0.8425, 1.2425, 0.7575], q:[0.7575, 0.3575], qb:[0.485, 0.8], phi:[0.4]] | [M:[[2], [-2], [-1], [1], [-1], [-1], [1], [1], [-1]], q:[[-1], [-1]], qb:[[2], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{6}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{9}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{9}$, ${ }M_{9}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{9}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{9}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.145 + 2*t^2.273 + t^2.4 + 2*t^2.527 + t^2.655 + t^3.345 + t^4.11 + t^4.29 + 2*t^4.418 + 5*t^4.545 + 5*t^4.673 + 5*t^4.8 + 5*t^4.927 + 4*t^5.055 + t^5.182 + t^5.31 + t^5.49 + t^5.618 + 2*t^5.745 + t^5.873 - 3*t^6. - t^6.127 + t^6.435 + t^6.51 + 2*t^6.563 + 2*t^6.637 + 6*t^6.69 + t^6.765 + 9*t^6.818 + 9*t^6.945 + 12*t^7.073 + 11*t^7.2 + 9*t^7.327 + 8*t^7.455 + 6*t^7.582 + t^7.635 + t^7.71 + t^7.763 + t^7.837 + 4*t^7.89 + t^7.965 + 3*t^8.018 - 3*t^8.145 + t^8.22 - 6*t^8.273 - 6*t^8.4 - 10*t^8.527 + t^8.58 - 5*t^8.655 + 2*t^8.708 - t^8.782 + 6*t^8.835 + t^8.91 + 10*t^8.963 - t^4.2/y - t^6.345/y - (2*t^6.473)/y - t^6.6/y - t^6.727/y - t^6.855/y + (2*t^7.418)/y + (3*t^7.545)/y + (5*t^7.673)/y + (6*t^7.8)/y + (6*t^7.927)/y + (3*t^8.055)/y + (2*t^8.182)/y - (3*t^8.745)/y - t^8.873/y - t^4.2*y - t^6.345*y - 2*t^6.473*y - t^6.6*y - t^6.727*y - t^6.855*y + 2*t^7.418*y + 3*t^7.545*y + 5*t^7.673*y + 6*t^7.8*y + 6*t^7.927*y + 3*t^8.055*y + 2*t^8.182*y - 3*t^8.745*y - t^8.873*y | t^2.145/g1^2 + (2*t^2.273)/g1 + t^2.4 + 2*g1*t^2.527 + g1^2*t^2.655 + t^3.345/g1^2 + g1^4*t^4.11 + t^4.29/g1^4 + (2*t^4.418)/g1^3 + (5*t^4.545)/g1^2 + (5*t^4.673)/g1 + 5*t^4.8 + 5*g1*t^4.927 + 4*g1^2*t^5.055 + g1^3*t^5.182 + g1^4*t^5.31 + t^5.49/g1^4 + t^5.618/g1^3 + (2*t^5.745)/g1^2 + t^5.873/g1 - 3*t^6. - g1*t^6.127 + t^6.435/g1^6 + g1^4*t^6.51 + (2*t^6.563)/g1^5 + 2*g1^5*t^6.637 + (6*t^6.69)/g1^4 + g1^6*t^6.765 + (9*t^6.818)/g1^3 + (9*t^6.945)/g1^2 + (12*t^7.073)/g1 + 11*t^7.2 + 9*g1*t^7.327 + 8*g1^2*t^7.455 + 6*g1^3*t^7.582 + t^7.635/g1^6 + g1^4*t^7.71 + t^7.763/g1^5 + g1^5*t^7.837 + (4*t^7.89)/g1^4 + g1^6*t^7.965 + (3*t^8.018)/g1^3 - (3*t^8.145)/g1^2 + g1^8*t^8.22 - (6*t^8.273)/g1 - 6*t^8.4 - 10*g1*t^8.527 + t^8.58/g1^8 - 5*g1^2*t^8.655 + (2*t^8.708)/g1^7 - g1^3*t^8.782 + (6*t^8.835)/g1^6 + g1^4*t^8.91 + (10*t^8.963)/g1^5 - t^4.2/y - t^6.345/(g1^2*y) - (2*t^6.473)/(g1*y) - t^6.6/y - (g1*t^6.727)/y - (g1^2*t^6.855)/y + (2*t^7.418)/(g1^3*y) + (3*t^7.545)/(g1^2*y) + (5*t^7.673)/(g1*y) + (6*t^7.8)/y + (6*g1*t^7.927)/y + (3*g1^2*t^8.055)/y + (2*g1^3*t^8.182)/y - (3*t^8.745)/(g1^2*y) - t^8.873/(g1*y) - t^4.2*y - (t^6.345*y)/g1^2 - (2*t^6.473*y)/g1 - t^6.6*y - g1*t^6.727*y - g1^2*t^6.855*y + (2*t^7.418*y)/g1^3 + (3*t^7.545*y)/g1^2 + (5*t^7.673*y)/g1 + 6*t^7.8*y + 6*g1*t^7.927*y + 3*g1^2*t^8.055*y + 2*g1^3*t^8.182*y - (3*t^8.745*y)/g1^2 - (t^8.873*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|---|
4759 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{6}M_{8}$ | 0.6735 | 0.8485 | 0.7937 | [M:[0.8784, 0.7216, 0.7608, 0.8392, 1.1608, 0.7608, 0.8392, 1.2392], q:[0.7608, 0.3608], qb:[0.4784, 0.8], phi:[0.4]] | t^2.165 + t^2.282 + t^2.4 + 2*t^2.518 + t^2.635 + t^3.365 + t^3.718 + t^4.07 + t^4.33 + t^4.447 + 3*t^4.565 + 4*t^4.682 + 3*t^4.8 + 4*t^4.918 + 4*t^5.035 + t^5.153 + t^5.27 + t^5.53 + 2*t^5.765 + 2*t^5.882 - 2*t^6. - t^4.2/y - t^4.2*y | detail |