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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6356 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6484 | 0.8521 | 0.761 | [M:[0.9279, 1.0, 1.1869, 0.741, 1.259, 0.777, 0.741, 0.8131, 0.7049], q:[0.5721, 0.5], qb:[0.241, 0.759], phi:[0.482]] | [M:[[-8], [0], [-7], [-1], [1], [3], [-1], [7], [-5]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{9}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{9}^{2}$, ${ }M_{4}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{8}M_{9}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{9}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{9}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -3 | t^2.115 + 2*t^2.223 + t^2.331 + t^2.439 + t^2.784 + 2*t^2.892 + t^3. + t^3.993 + t^4.23 + 2*t^4.338 + 5*t^4.446 + 3*t^4.554 + 4*t^4.662 + t^4.77 + 2*t^4.878 + t^4.899 + 3*t^5.007 + 6*t^5.115 + 4*t^5.223 + 3*t^5.331 + t^5.439 + t^5.567 + 2*t^5.676 + 3*t^5.784 + t^5.892 - 3*t^6. + t^6.324 + t^6.345 + t^6.433 + t^6.453 + 4*t^6.561 + 6*t^6.669 + 6*t^6.777 + 8*t^6.885 + 5*t^6.993 + t^7.013 + 5*t^7.101 + 3*t^7.122 + 2*t^7.21 + 7*t^7.23 + 2*t^7.318 + 12*t^7.338 + 9*t^7.446 + 7*t^7.554 + 4*t^7.662 + t^7.682 + 3*t^7.77 + 3*t^7.79 + t^7.878 + 6*t^7.899 + 8*t^8.007 + 2*t^8.115 - 4*t^8.223 - 6*t^8.331 + t^8.351 - 5*t^8.439 + 3*t^8.459 - 2*t^8.547 + 5*t^8.567 + t^8.655 + 6*t^8.676 + t^8.764 + 2*t^8.784 + 2*t^8.872 + t^8.892 - t^4.446/y - t^6.561/y - t^6.669/y - t^6.777/y - t^7.23/y + t^7.338/y + (2*t^7.446)/y + (4*t^7.554)/y + (3*t^7.662)/y + t^7.77/y + t^7.899/y + (4*t^8.007)/y + (7*t^8.115)/y + (6*t^8.223)/y + (4*t^8.331)/y + t^8.439/y + t^8.676/y + t^8.784/y - t^4.446*y - t^6.561*y - t^6.669*y - t^6.777*y - t^7.23*y + t^7.338*y + 2*t^7.446*y + 4*t^7.554*y + 3*t^7.662*y + t^7.77*y + t^7.899*y + 4*t^8.007*y + 7*t^8.115*y + 6*t^8.223*y + 4*t^8.331*y + t^8.439*y + t^8.676*y + t^8.784*y | t^2.115/g1^5 + (2*t^2.223)/g1 + g1^3*t^2.331 + g1^7*t^2.439 + t^2.784/g1^8 + (2*t^2.892)/g1^4 + t^3. + g1^9*t^3.993 + t^4.23/g1^10 + (2*t^4.338)/g1^6 + (5*t^4.446)/g1^2 + 3*g1^2*t^4.554 + 4*g1^6*t^4.662 + g1^10*t^4.77 + 2*g1^14*t^4.878 + t^4.899/g1^13 + (3*t^5.007)/g1^9 + (6*t^5.115)/g1^5 + (4*t^5.223)/g1 + 3*g1^3*t^5.331 + g1^7*t^5.439 + t^5.567/g1^16 + (2*t^5.676)/g1^12 + (3*t^5.784)/g1^8 + t^5.892/g1^4 - 3*t^6. + g1^12*t^6.324 + t^6.345/g1^15 + g1^16*t^6.433 + t^6.453/g1^11 + (4*t^6.561)/g1^7 + (6*t^6.669)/g1^3 + 6*g1*t^6.777 + 8*g1^5*t^6.885 + 5*g1^9*t^6.993 + t^7.013/g1^18 + 5*g1^13*t^7.101 + (3*t^7.122)/g1^14 + 2*g1^17*t^7.21 + (7*t^7.23)/g1^10 + 2*g1^21*t^7.318 + (12*t^7.338)/g1^6 + (9*t^7.446)/g1^2 + 7*g1^2*t^7.554 + 4*g1^6*t^7.662 + t^7.682/g1^21 + 3*g1^10*t^7.77 + (3*t^7.79)/g1^17 + g1^14*t^7.878 + (6*t^7.899)/g1^13 + (8*t^8.007)/g1^9 + (2*t^8.115)/g1^5 - (4*t^8.223)/g1 - 6*g1^3*t^8.331 + t^8.351/g1^24 - 5*g1^7*t^8.439 + (3*t^8.459)/g1^20 - 2*g1^11*t^8.547 + (5*t^8.567)/g1^16 + g1^15*t^8.655 + (6*t^8.676)/g1^12 + g1^19*t^8.764 + (2*t^8.784)/g1^8 + 2*g1^23*t^8.872 + t^8.892/g1^4 - t^4.446/(g1^2*y) - t^6.561/(g1^7*y) - t^6.669/(g1^3*y) - (g1*t^6.777)/y - t^7.23/(g1^10*y) + t^7.338/(g1^6*y) + (2*t^7.446)/(g1^2*y) + (4*g1^2*t^7.554)/y + (3*g1^6*t^7.662)/y + (g1^10*t^7.77)/y + t^7.899/(g1^13*y) + (4*t^8.007)/(g1^9*y) + (7*t^8.115)/(g1^5*y) + (6*t^8.223)/(g1*y) + (4*g1^3*t^8.331)/y + (g1^7*t^8.439)/y + t^8.676/(g1^12*y) + t^8.784/(g1^8*y) - (t^4.446*y)/g1^2 - (t^6.561*y)/g1^7 - (t^6.669*y)/g1^3 - g1*t^6.777*y - (t^7.23*y)/g1^10 + (t^7.338*y)/g1^6 + (2*t^7.446*y)/g1^2 + 4*g1^2*t^7.554*y + 3*g1^6*t^7.662*y + g1^10*t^7.77*y + (t^7.899*y)/g1^13 + (4*t^8.007*y)/g1^9 + (7*t^8.115*y)/g1^5 + (6*t^8.223*y)/g1 + 4*g1^3*t^8.331*y + g1^7*t^8.439*y + (t^8.676*y)/g1^12 + (t^8.784*y)/g1^8 |
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 |
---|---|---|---|---|---|---|---|---|---|
4762 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}^{2}$ | 0.628 | 0.8135 | 0.772 | [M:[0.9348, 1.0, 1.1929, 0.7418, 1.2582, 0.7745, 0.7418, 0.8071], q:[0.5652, 0.5], qb:[0.2418, 0.7582], phi:[0.4837]] | 2*t^2.226 + t^2.323 + t^2.421 + t^2.804 + 2*t^2.902 + t^3. + t^3.872 + t^3.97 + 4*t^4.451 + 2*t^4.549 + 4*t^4.647 + t^4.745 + 2*t^4.842 + t^5.03 + 5*t^5.128 + 4*t^5.226 + 3*t^5.323 + t^5.421 + t^5.609 + 2*t^5.707 + 3*t^5.804 + t^5.902 - 3*t^6. - t^4.451/y - t^4.451*y | detail |