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 |
---|---|---|---|---|---|---|---|---|---|
59445 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.3922 | 1.5648 | 0.8897 | [X:[1.4286], M:[0.6905, 0.9762], q:[0.4401, 0.7259], qb:[0.5837, 0.536], phi:[0.2857]] | [X:[[0, 0]], M:[[-1, 1], [-1, 1]], q:[[-1, -1], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -4 | t^2.07 + t^2.57 + 2*t^2.93 + 2*t^3.79 + t^3.93 + t^4.14 + t^4.29 + 3*t^4.64 + 2*t^4.79 + 2*t^5. + 3*t^5.5 + t^5.64 + t^5.68 + t^5.82 + 4*t^5.86 + t^5.97 - 4*t^6. - t^6.14 + t^6.21 + 3*t^6.36 + t^6.5 + 3*t^6.53 + t^6.68 + 6*t^6.71 + t^6.82 - t^7. + 2*t^7.07 - t^7.18 + 4*t^7.21 + 2*t^7.36 + 2*t^7.39 + t^7.4 + t^7.54 + 9*t^7.57 + t^7.68 + 4*t^7.71 - t^7.75 + t^7.82 - 2*t^7.89 + 4*t^7.93 - 2*t^8.04 - t^8.07 - t^8.18 + t^8.21 + 2*t^8.25 + t^8.29 + t^8.4 + 11*t^8.43 + t^8.54 + 4*t^8.57 + 2*t^8.6 + t^8.71 - 2*t^8.75 + 8*t^8.79 - t^8.9 - 10*t^8.93 + t^8.57/y^2 - t^8.93/y^2 - t^3.86/y - t^4.71/y - t^5.93/y - t^6.43/y - (3*t^6.79)/y - t^7.29/y - (2*t^7.64)/y + t^8./y - t^8.5/y - t^8.64/y - t^3.86*y - t^4.71*y - t^5.93*y - t^6.43*y - 3*t^6.79*y - t^7.29*y - 2*t^7.64*y + t^8.*y - t^8.5*y - t^8.64*y + t^8.57*y^2 - t^8.93*y^2 | (g2*t^2.07)/g1 + t^2.57 + (2*g2*t^2.93)/g1 + (2*g2*t^3.79)/g1 + (g1*t^3.93)/g2 + (g2^2*t^4.14)/g1^2 + t^4.29 + (3*g2*t^4.64)/g1 + (2*g1*t^4.79)/g2 + (2*g2^2*t^5.)/g1^2 + (3*g2*t^5.5)/g1 + (g1*t^5.64)/g2 + t^5.68/(g1^3*g2^3) + g1^2*g2^4*t^5.82 + (4*g2^2*t^5.86)/g1^2 + g1^4*g2^2*t^5.97 - 4*t^6. - (g1^2*t^6.14)/g2^2 + (g2^3*t^6.21)/g1^3 + (3*g2*t^6.36)/g1 + (g1*t^6.5)/g2 + (3*t^6.53)/(g1^3*g2^3) + g1^2*g2^4*t^6.68 + (6*g2^2*t^6.71)/g1^2 + g1^4*g2^2*t^6.82 - (g1^2*t^7.)/g2^2 + (2*g2^3*t^7.07)/g1^3 - g1^3*g2^3*t^7.18 + (4*g2*t^7.21)/g1 + (2*g1*t^7.36)/g2 + (2*t^7.39)/(g1^3*g2^3) + g2^6*t^7.4 + g1^2*g2^4*t^7.54 + (9*g2^2*t^7.57)/g1^2 + g1^4*g2^2*t^7.68 + 4*t^7.71 - t^7.75/(g1^4*g2^2) + g1^6*t^7.82 - (2*t^7.89)/(g1^2*g2^4) + (4*g2^3*t^7.93)/g1^3 - 2*g1^3*g2^3*t^8.04 - (g2*t^8.07)/g1 - g1^5*g2*t^8.18 + (g1*t^8.21)/g2 + (2*t^8.25)/(g1^3*g2^3) + (g2^4*t^8.29)/g1^4 + g1^2*g2^4*t^8.4 + (11*g2^2*t^8.43)/g1^2 + g1^4*g2^2*t^8.54 + 4*t^8.57 + (2*t^8.6)/(g1^4*g2^2) + (g1^2*t^8.71)/g2^2 - (3*t^8.75)/(g1^2*g2^4) + g1*g2^5*t^8.75 + (8*g2^3*t^8.79)/g1^3 - g1^3*g2^3*t^8.9 - (10*g2*t^8.93)/g1 + t^8.57/y^2 - (g2*t^8.93)/(g1*y^2) - t^3.86/y - t^4.71/y - (g2*t^5.93)/(g1*y) - t^6.43/y - (3*g2*t^6.79)/(g1*y) - t^7.29/y - (2*g2*t^7.64)/(g1*y) + (g2^2*t^8.)/(g1^2*y) - (g2*t^8.5)/(g1*y) - (g1*t^8.64)/(g2*y) - t^3.86*y - t^4.71*y - (g2*t^5.93*y)/g1 - t^6.43*y - (3*g2*t^6.79*y)/g1 - t^7.29*y - (2*g2*t^7.64*y)/g1 + (g2^2*t^8.*y)/g1^2 - (g2*t^8.5*y)/g1 - (g1*t^8.64*y)/g2 + t^8.57*y^2 - (g2*t^8.93*y^2)/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 |
---|---|---|---|---|---|---|---|---|
61113 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.4128 | 1.6053 | 0.8801 | [X:[1.4286], M:[0.6881, 0.9738, 0.6881], q:[0.4401, 0.7258], qb:[0.5861, 0.5338], phi:[0.2857]] | 2*t^2.06 + t^2.57 + 2*t^2.92 + 2*t^3.78 + 3*t^4.13 + t^4.29 + 4*t^4.64 + 2*t^4.79 + 4*t^4.99 + 3*t^5.49 + t^5.65 + t^5.67 + t^5.82 + 6*t^5.84 + t^5.97 - 5*t^6. - t^3.86/y - t^4.71/y - (2*t^5.92)/y - t^3.86*y - t^4.71*y - 2*t^5.92*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 |
---|---|---|---|---|---|---|---|---|---|
57489 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3908 | 1.5608 | 0.8911 | [X:[1.4286], M:[0.7093], q:[0.4405, 0.7262], qb:[0.5646, 0.5545], phi:[0.2857]] | t^2.13 + t^2.57 + t^2.98 + t^3.02 + 2*t^3.84 + t^3.87 + t^4.26 + t^4.29 + 3*t^4.7 + 2*t^4.73 + t^5.11 + t^5.14 + 2*t^5.56 + 2*t^5.59 + t^5.68 + t^5.88 + t^5.91 + 2*t^5.97 - 3*t^6. - t^3.86/y - t^4.71/y - t^5.98/y - t^3.86*y - t^4.71*y - t^5.98*y | detail |