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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47884 | SU3adj1nf2 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ + $ \phi_1^2q_2\tilde{q}_2$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | [X:[[0, 0, 2]], M:[[0, 0, -4]], q:[[-1, 0, 4], [0, -1, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$\phi_1^3$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ X_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^6$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1^2q_2$ | $\phi_1^4q_1\tilde{q}_1$ | -2 | t^2.64 + 3*t^3.36 + t^3.53 + 5*t^4.24 + t^5.12 + t^5.29 + 2*t^5.47 - 2*t^6. + t^6.17 + 6*t^6.36 + 6*t^6.71 + t^6.88 + t^7.05 + 14*t^7.59 + 3*t^7.76 + t^7.93 - 6*t^8.12 + 14*t^8.47 + t^8.64 + t^8.81 + 6*t^8.83 + t^8.64/y^2 - t^3.88/y - t^4.76/y - t^6.53/y - (2*t^7.24)/y - (2*t^7.41)/y - (4*t^8.12)/y - t^8.29/y - t^3.88*y - t^4.76*y - t^6.53*y - 2*t^7.24*y - 2*t^7.41*y - 4*t^8.12*y - t^8.29*y + t^8.64*y^2 | t^2.64/g3^3 + (g1*g3^2*t^3.36)/g2 + g3^3*t^3.36 + (g2*g3^4*t^3.36)/g1 + t^3.53/g3^4 + (g1*g3*t^4.24)/g2 + 3*g3^2*t^4.24 + (g2*g3^3*t^4.24)/g1 + g3*t^5.12 + t^5.29/g3^6 + (g1^2*g2*t^5.47)/g3 + (g3^9*t^5.47)/(g1^2*g2) - 2*t^6. + t^6.17/g3^7 + (g1^3*t^6.36)/g3^3 + (g1^2*g2*t^6.36)/g3^2 + (g1*g2^2*t^6.36)/g3 + (g3^7*t^6.36)/(g1*g2^2) + (g3^8*t^6.36)/(g1^2*g2) + (g3^9*t^6.36)/g1^3 + (g1^2*g3^4*t^6.71)/g2^2 + (g1*g3^5*t^6.71)/g2 + 2*g3^6*t^6.71 + (g2*g3^7*t^6.71)/g1 + (g2^2*g3^8*t^6.71)/g1^2 + t^6.88/g3 + t^7.05/g3^8 + (g1^2*g3^3*t^7.59)/g2^2 + (4*g1*g3^4*t^7.59)/g2 + 4*g3^5*t^7.59 + (4*g2*g3^6*t^7.59)/g1 + (g2^2*g3^7*t^7.59)/g1^2 + (3*t^7.76)/g3^2 + t^7.93/g3^9 - (g1^3*t^8.12)/g3^5 - (g1^2*g2*t^8.12)/g3^4 - (g1*g2^2*t^8.12)/g3^3 - (g3^5*t^8.12)/(g1*g2^2) - (g3^6*t^8.12)/(g1^2*g2) - (g3^7*t^8.12)/g1^3 + (g1^2*g3^2*t^8.47)/g2^2 + (3*g1*g3^3*t^8.47)/g2 + 6*g3^4*t^8.47 + (3*g2*g3^5*t^8.47)/g1 + (g2^2*g3^6*t^8.47)/g1^2 + t^8.64/g3^3 + t^8.81/g3^10 + g1^3*g3*t^8.83 + g1^2*g2*g3^2*t^8.83 + g1*g2^2*g3^3*t^8.83 + (g3^11*t^8.83)/(g1*g2^2) + (g3^12*t^8.83)/(g1^2*g2) + (g3^13*t^8.83)/g1^3 + t^8.64/(g3^3*y^2) - t^3.88/(g3*y) - t^4.76/(g3^2*y) - t^6.53/(g3^4*y) - (g1*g3*t^7.24)/(g2*y) - (g2*g3^3*t^7.24)/(g1*y) - (2*t^7.41)/(g3^5*y) - (g1*t^8.12)/(g2*y) - (2*g3*t^8.12)/y - (g2*g3^2*t^8.12)/(g1*y) - t^8.29/(g3^6*y) - (t^3.88*y)/g3 - (t^4.76*y)/g3^2 - (t^6.53*y)/g3^4 - (g1*g3*t^7.24*y)/g2 - (g2*g3^3*t^7.24*y)/g1 - (2*t^7.41*y)/g3^5 - (g1*t^8.12*y)/g2 - 2*g3*t^8.12*y - (g2*g3^2*t^8.12*y)/g1 - (t^8.29*y)/g3^6 + (t^8.64*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|---|
47868 | SU3adj1nf2 | $M_1q_1\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.4552 | 1.6423 | 0.8861 | [X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]] | t^2.85 + t^2.93 + t^2.96 + 2*t^3.04 + t^3.92 + 3*t^4.03 + t^4.14 + t^4.9 + 2*t^5.01 + t^5.12 + 2*t^5.49 + 2*t^5.6 + t^5.69 + t^5.78 + t^5.8 + t^5.87 + t^5.89 + t^5.91 + 2*t^5.98 - 2*t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y | detail |