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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60093 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.3948 | 1.6351 | 0.8531 | [X:[], M:[1.1779, 0.8, 1.1779], q:[0.3998, 0.3998], qb:[0.4223, 0.3781], phi:[0.4]] | [X:[], M:[[1, 0, 1], [0, 0, 0], [-1, -1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.33 + 2*t^2.4 + 4*t^3.53 + 2*t^3.67 + 3*t^4.67 + 6*t^4.73 + t^4.74 + 5*t^4.8 + 3*t^4.87 + 7*t^5.87 + 8*t^5.93 + t^5.94 + 5*t^6.07 - t^6.13 + 5*t^7. + 21*t^7.07 + 11*t^7.13 + 3*t^7.14 + 18*t^7.2 - t^7.26 + 5*t^7.27 + 2*t^7.33 + t^7.4 + 10*t^8.2 + 25*t^8.27 + 11*t^8.33 + t^8.34 + 7*t^8.4 - t^8.46 + 3*t^8.47 + t^8.53 - t^4.2/y - t^5.4/y - (2*t^6.53)/y - (2*t^6.6)/y + t^7.67/y + (5*t^8.87)/y - t^4.2*y - t^5.4*y - 2*t^6.53*y - 2*t^6.6*y + t^7.67*y + 5*t^8.87*y | t^2.33/(g1*g2) + g1*g3*t^2.33 + 2*t^2.4 + (2*t^3.53)/(g1*g2) + 2*g1*g3*t^3.53 + g1*g2*t^3.67 + t^3.67/(g1*g3) + t^4.67/(g1^2*g2^2) + (g3*t^4.67)/g2 + g1^2*g3^2*t^4.67 + (3*t^4.73)/(g1*g2) + 3*g1*g3*t^4.73 + g2*g3^2*t^4.74 + 3*t^4.8 + t^4.8/(g1*g2^2*g3^2) + (g1*t^4.8)/(g2*g3) + g1*g2*t^4.87 + t^4.87/(g1*g3) + g2^2*g3*t^4.87 + (2*t^5.87)/(g1^2*g2^2) + (3*g3*t^5.87)/g2 + 2*g1^2*g3^2*t^5.87 + (4*t^5.93)/(g1*g2) + 4*g1*g3*t^5.93 + g2*g3^2*t^5.94 - 2*t^6. + t^6./(g1*g2^2*g3^2) + (g1*t^6.)/(g2*g3) + 2*g1*g2*t^6.07 + (2*t^6.07)/(g1*g3) + g2^2*g3*t^6.07 - (g2*t^6.13)/g3 + t^7./(g1^3*g2^3) + (g3*t^7.)/(g1*g2^2) + (g1*g3^2*t^7.)/g2 + g3^3*t^7. + g1^3*g3^3*t^7. + (6*t^7.07)/(g1^2*g2^2) + (7*g3*t^7.07)/g2 + (g3^2*t^7.07)/g1 + 6*g1^2*g3^2*t^7.07 + g1*g2*g3^3*t^7.07 + (4*t^7.13)/(g1*g2) + (g1^2*t^7.13)/g2 + t^7.13/(g1^2*g2^3*g3^2) + t^7.13/(g2^2*g3) + 4*g1*g3*t^7.13 + 3*g2*g3^2*t^7.14 + 6*t^7.2 + g1^3*t^7.2 + t^7.2/(g1^3*g2^3*g3^3) + (3*t^7.2)/(g1*g2^2*g3^2) + (2*t^7.2)/(g1^2*g2*g3) + (3*g1*t^7.2)/(g2*g3) + 2*g1^2*g2*g3*t^7.2 - t^7.26/(g2*g3^2) + g1*g2*t^7.27 + t^7.27/(g1*g3) + 3*g2^2*g3*t^7.27 + g1^2*g2^2*t^7.33 + t^7.33/(g1^2*g3^2) + g2^3*t^7.4 + (2*t^8.2)/(g1^3*g2^3) + (3*g3*t^8.2)/(g1*g2^2) + (3*g1*g3^2*t^8.2)/g2 + 2*g1^3*g3^3*t^8.2 + (6*t^8.27)/(g1^2*g2^2) + (9*g3*t^8.27)/g2 + (2*g3^2*t^8.27)/g1 + 6*g1^2*g3^2*t^8.27 + 2*g1*g2*g3^3*t^8.27 + (2*t^8.33)/(g1*g2) + (2*g1^2*t^8.33)/g2 + (2*t^8.33)/(g1^2*g2^3*g3^2) + (3*t^8.33)/(g2^2*g3) + 2*g1*g3*t^8.33 + g2*g3^2*t^8.34 - t^8.4 + t^8.4/(g1*g2^2*g3^2) + (2*t^8.4)/(g1^2*g2*g3) + (g1*t^8.4)/(g2*g3) + (g2*g3*t^8.4)/g1 + 2*g1^2*g2*g3*t^8.4 + g1*g2^2*g3^2*t^8.4 - t^8.46/(g2*g3^2) + g1*g2*t^8.47 + t^8.47/(g1*g3) + g2^2*g3*t^8.47 + g1^2*g2^2*t^8.53 + t^8.53/(g1^2*g3^2) - (g2*t^8.53)/g3 - t^4.2/y - t^5.4/y - t^6.53/(g1*g2*y) - (g1*g3*t^6.53)/y - (2*t^6.6)/y + (g3*t^7.67)/(g2*y) + t^8.87/(g1^2*g2^2*y) + (3*g3*t^8.87)/(g2*y) + (g1^2*g3^2*t^8.87)/y - t^4.2*y - t^5.4*y - (t^6.53*y)/(g1*g2) - g1*g3*t^6.53*y - 2*t^6.6*y + (g3*t^7.67*y)/g2 + (t^8.87*y)/(g1^2*g2^2) + (3*g3*t^8.87*y)/g2 + g1^2*g3^2*t^8.87*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57448 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4107 | 1.662 | 0.8488 | [M:[1.1779, 0.8], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | t^2.334 + 4*t^2.4 + 2*t^3.534 + 2*t^3.6 + t^3.666 + t^4.668 + 5*t^4.734 + 2*t^4.767 + 12*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 8*t^5.934 + 2*t^5.967 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |