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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1510 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_3^2$ + $ M_5M_6$ | 0.71 | 0.8716 | 0.8146 | [X:[], M:[1.0, 0.8862, 1.0, 0.8862, 1.0569, 0.9431], q:[0.5284, 0.4716], qb:[0.4716, 0.6422], phi:[0.4716]] | [X:[], M:[[0], [-4], [0], [-4], [2], [-2]], q:[[1], [-1]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2M_6$, $ M_4M_6$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | $M_1M_3$ | -3 | 2*t^2.66 + 2*t^2.83 + 2*t^3. + t^3.51 + 3*t^4.24 + 2*t^4.41 + t^4.59 + 2*t^4.76 + t^4.93 + t^5.27 + 3*t^5.32 + 2*t^5.49 + 6*t^5.66 + 2*t^5.83 - 3*t^6. + 4*t^6.9 + t^7.02 + 9*t^7.07 + 8*t^7.24 + t^7.41 + 2*t^7.59 + 2*t^7.76 + 4*t^7.98 + t^8.1 + 3*t^8.15 + 2*t^8.27 + 6*t^8.32 + 9*t^8.49 + t^8.78 - 6*t^8.83 - t^4.41/y - (2*t^7.07)/y - t^7.24/y + t^7.59/y + (2*t^7.76)/y + t^8.32/y + (4*t^8.49)/y + (5*t^8.66)/y + (4*t^8.83)/y - t^4.41*y - 2*t^7.07*y - t^7.24*y + t^7.59*y + 2*t^7.76*y + t^8.32*y + 4*t^8.49*y + 5*t^8.66*y + 4*t^8.83*y | (2*t^2.66)/g1^4 + (2*t^2.83)/g1^2 + 2*t^3. + g1^6*t^3.51 + (3*t^4.24)/g1^3 + (2*t^4.41)/g1 + g1*t^4.59 + 2*g1^3*t^4.76 + g1^5*t^4.93 + g1^9*t^5.27 + (3*t^5.32)/g1^8 + (2*t^5.49)/g1^6 + (6*t^5.66)/g1^4 + (2*t^5.83)/g1^2 - 3*t^6. + (4*t^6.9)/g1^7 + g1^12*t^7.02 + (9*t^7.07)/g1^5 + (8*t^7.24)/g1^3 + t^7.41/g1 + 2*g1*t^7.59 + 2*g1^3*t^7.76 + (4*t^7.98)/g1^12 + g1^7*t^8.1 + (3*t^8.15)/g1^10 + 2*g1^9*t^8.27 + (6*t^8.32)/g1^8 + (9*t^8.49)/g1^6 + g1^15*t^8.78 - (6*t^8.83)/g1^2 - t^4.41/(g1*y) - (2*t^7.07)/(g1^5*y) - t^7.24/(g1^3*y) + (g1*t^7.59)/y + (2*g1^3*t^7.76)/y + t^8.32/(g1^8*y) + (4*t^8.49)/(g1^6*y) + (5*t^8.66)/(g1^4*y) + (4*t^8.83)/(g1^2*y) - (t^4.41*y)/g1 - (2*t^7.07*y)/g1^5 - (t^7.24*y)/g1^3 + g1*t^7.59*y + 2*g1^3*t^7.76*y + (t^8.32*y)/g1^8 + (4*t^8.49*y)/g1^6 + (5*t^8.66*y)/g1^4 + (4*t^8.83*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
971 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_3^2$ | 0.7051 | 0.8629 | 0.8172 | [X:[], M:[1.0, 0.9027, 1.0, 0.9027, 1.0486], q:[0.5243, 0.4757], qb:[0.4757, 0.6216], phi:[0.4757]] | 2*t^2.71 + t^2.85 + 2*t^3. + t^3.15 + t^3.44 + 3*t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + t^4.86 + t^5.16 + 3*t^5.42 + 4*t^5.71 + 2*t^5.85 - 2*t^6. - t^4.43/y - t^4.43*y | detail |