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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55815 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1q_3\tilde{q}_3$ + $ M_2\phi_1^2$ | 0.8898 | 1.0944 | 0.8131 | [X:[], M:[0.7703, 0.8446], q:[0.6149, 0.6149, 0.6149], qb:[0.6149, 0.6149, 0.6149], phi:[0.5777]] | [X:[], M:[[0, -4, -4, 0], [0, 6, 6, 0]], q:[[-1, 4, 4, 0], [1, 0, 0, 0], [0, 4, 4, -1]], qb:[[0, 4, 0, 0], [0, 0, 4, 0], [0, 0, 0, 1]], phi:[[0, -3, -3, 0]]] | 4 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_3\tilde{q}_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | . | -22 | t^2.31 + t^2.53 + 14*t^3.69 + t^4.62 + t^4.84 + t^5.07 + 21*t^5.42 - 22*t^6. + 14*t^6.22 + t^6.93 + t^7.16 + 91*t^7.38 + t^7.6 - 14*t^7.73 - t^8.31 - 22*t^8.53 + 14*t^8.76 - t^4.73/y - t^7.04/y + t^7.84/y + t^8.42/y - t^4.73*y - t^7.04*y + t^7.84*y + t^8.42*y | t^2.31/(g2^4*g3^4) + g2^6*g3^6*t^2.53 + g1*g2^4*t^3.69 + g1*g3^4*t^3.69 + 2*g2^4*g3^4*t^3.69 + (g2^8*g3^4*t^3.69)/g1 + (g2^4*g3^8*t^3.69)/g1 + (g1*g2^4*g3^4*t^3.69)/g4 + (g2^8*g3^4*t^3.69)/g4 + (g2^4*g3^8*t^3.69)/g4 + (g2^8*g3^8*t^3.69)/(g1*g4) + g1*g4*t^3.69 + g2^4*g4*t^3.69 + g3^4*g4*t^3.69 + (g2^4*g3^4*g4*t^3.69)/g1 + t^4.62/(g2^8*g3^8) + g2^2*g3^2*t^4.84 + g2^12*g3^12*t^5.07 + (g1^2*t^5.42)/(g2^3*g3^3) + (g1*g2*t^5.42)/g3^3 + (g2^5*t^5.42)/g3^3 + (g1*g3*t^5.42)/g2^3 + 3*g2*g3*t^5.42 + (g2^5*g3*t^5.42)/g1 + (g3^5*t^5.42)/g2^3 + (g2*g3^5*t^5.42)/g1 + (g2^5*g3^5*t^5.42)/g1^2 + (g2^5*g3^5*t^5.42)/g4^2 + (g1*g2*g3*t^5.42)/g4 + (g2^5*g3*t^5.42)/g4 + (g2*g3^5*t^5.42)/g4 + (g2^5*g3^5*t^5.42)/(g1*g4) + (g1*g4*t^5.42)/(g2^3*g3^3) + (g2*g4*t^5.42)/g3^3 + (g3*g4*t^5.42)/g2^3 + (g2*g3*g4*t^5.42)/g1 + (g4^2*t^5.42)/(g2^3*g3^3) - 4*t^6. - (g1*t^6.)/g2^4 - (g2^4*t^6.)/g1 - (g1*t^6.)/g3^4 - (g1^2*t^6.)/(g2^4*g3^4) - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g1 - (g3^4*t^6.)/g2^4 - (g2^4*g3^4*t^6.)/g1^2 - (g2^4*g3^4*t^6.)/g4^2 - (g1*t^6.)/g4 - (g2^4*t^6.)/g4 - (g3^4*t^6.)/g4 - (g2^4*g3^4*t^6.)/(g1*g4) - (g4*t^6.)/g1 - (g4*t^6.)/g2^4 - (g4*t^6.)/g3^4 - (g1*g4*t^6.)/(g2^4*g3^4) - (g4^2*t^6.)/(g2^4*g3^4) + g1*g2^10*g3^6*t^6.22 + g1*g2^6*g3^10*t^6.22 + 2*g2^10*g3^10*t^6.22 + (g2^14*g3^10*t^6.22)/g1 + (g2^10*g3^14*t^6.22)/g1 + (g1*g2^10*g3^10*t^6.22)/g4 + (g2^14*g3^10*t^6.22)/g4 + (g2^10*g3^14*t^6.22)/g4 + (g2^14*g3^14*t^6.22)/(g1*g4) + g1*g2^6*g3^6*g4*t^6.22 + g2^10*g3^6*g4*t^6.22 + g2^6*g3^10*g4*t^6.22 + (g2^10*g3^10*g4*t^6.22)/g1 + t^6.93/(g2^12*g3^12) + t^7.16/(g2^2*g3^2) + g1^2*g2^8*t^7.38 + 2*g1^2*g2^4*g3^4*t^7.38 + 3*g1*g2^8*g3^4*t^7.38 + 2*g2^12*g3^4*t^7.38 + g1^2*g3^8*t^7.38 + 3*g1*g2^4*g3^8*t^7.38 + 7*g2^8*g3^8*t^7.38 + (3*g2^12*g3^8*t^7.38)/g1 + (g2^16*g3^8*t^7.38)/g1^2 + 2*g2^4*g3^12*t^7.38 + (3*g2^8*g3^12*t^7.38)/g1 + (2*g2^12*g3^12*t^7.38)/g1^2 + (g2^8*g3^16*t^7.38)/g1^2 + (g1^2*g2^8*g3^8*t^7.38)/g4^2 + (g1*g2^12*g3^8*t^7.38)/g4^2 + (g2^16*g3^8*t^7.38)/g4^2 + (g1*g2^8*g3^12*t^7.38)/g4^2 + (2*g2^12*g3^12*t^7.38)/g4^2 + (g2^16*g3^12*t^7.38)/(g1*g4^2) + (g2^8*g3^16*t^7.38)/g4^2 + (g2^12*g3^16*t^7.38)/(g1*g4^2) + (g2^16*g3^16*t^7.38)/(g1^2*g4^2) + (g1^2*g2^8*g3^4*t^7.38)/g4 + (g1*g2^12*g3^4*t^7.38)/g4 + (g1^2*g2^4*g3^8*t^7.38)/g4 + (3*g1*g2^8*g3^8*t^7.38)/g4 + (3*g2^12*g3^8*t^7.38)/g4 + (g2^16*g3^8*t^7.38)/(g1*g4) + (g1*g2^4*g3^12*t^7.38)/g4 + (3*g2^8*g3^12*t^7.38)/g4 + (3*g2^12*g3^12*t^7.38)/(g1*g4) + (g2^16*g3^12*t^7.38)/(g1^2*g4) + (g2^8*g3^16*t^7.38)/(g1*g4) + (g2^12*g3^16*t^7.38)/(g1^2*g4) + g1^2*g2^4*g4*t^7.38 + g1*g2^8*g4*t^7.38 + g1^2*g3^4*g4*t^7.38 + 3*g1*g2^4*g3^4*g4*t^7.38 + 3*g2^8*g3^4*g4*t^7.38 + (g2^12*g3^4*g4*t^7.38)/g1 + g1*g3^8*g4*t^7.38 + 3*g2^4*g3^8*g4*t^7.38 + (3*g2^8*g3^8*g4*t^7.38)/g1 + (g2^12*g3^8*g4*t^7.38)/g1^2 + (g2^4*g3^12*g4*t^7.38)/g1 + (g2^8*g3^12*g4*t^7.38)/g1^2 + g1^2*g4^2*t^7.38 + g1*g2^4*g4^2*t^7.38 + g2^8*g4^2*t^7.38 + g1*g3^4*g4^2*t^7.38 + 2*g2^4*g3^4*g4^2*t^7.38 + (g2^8*g3^4*g4^2*t^7.38)/g1 + g3^8*g4^2*t^7.38 + (g2^4*g3^8*g4^2*t^7.38)/g1 + (g2^8*g3^8*g4^2*t^7.38)/g1^2 + g2^18*g3^18*t^7.6 - (g1*t^7.73)/(g2^3*g3^7) - (g1*t^7.73)/(g2^7*g3^3) - (2*t^7.73)/(g2^3*g3^3) - (g2*t^7.73)/(g1*g3^3) - (g3*t^7.73)/(g1*g2^3) - (g1*t^7.73)/(g2^3*g3^3*g4) - (g2*t^7.73)/(g3^3*g4) - (g3*t^7.73)/(g2^3*g4) - (g2*g3*t^7.73)/(g1*g4) - (g1*g4*t^7.73)/(g2^7*g3^7) - (g4*t^7.73)/(g2^3*g3^7) - (g4*t^7.73)/(g2^7*g3^3) - (g4*t^7.73)/(g1*g2^3*g3^3) - t^8.31/(g2^4*g3^4) - g1^2*g2^2*g3^2*t^8.53 - g1*g2^6*g3^2*t^8.53 - g2^10*g3^2*t^8.53 - g1*g2^2*g3^6*t^8.53 - 4*g2^6*g3^6*t^8.53 - (g2^10*g3^6*t^8.53)/g1 - g2^2*g3^10*t^8.53 - (g2^6*g3^10*t^8.53)/g1 - (g2^10*g3^10*t^8.53)/g1^2 - (g2^10*g3^10*t^8.53)/g4^2 - (g1*g2^6*g3^6*t^8.53)/g4 - (g2^10*g3^6*t^8.53)/g4 - (g2^6*g3^10*t^8.53)/g4 - (g2^10*g3^10*t^8.53)/(g1*g4) - g1*g2^2*g3^2*g4*t^8.53 - g2^6*g3^2*g4*t^8.53 - g2^2*g3^6*g4*t^8.53 - (g2^6*g3^6*g4*t^8.53)/g1 - g2^2*g3^2*g4^2*t^8.53 + g1*g2^16*g3^12*t^8.76 + g1*g2^12*g3^16*t^8.76 + 2*g2^16*g3^16*t^8.76 + (g2^20*g3^16*t^8.76)/g1 + (g2^16*g3^20*t^8.76)/g1 + (g1*g2^16*g3^16*t^8.76)/g4 + (g2^20*g3^16*t^8.76)/g4 + (g2^16*g3^20*t^8.76)/g4 + (g2^20*g3^20*t^8.76)/(g1*g4) + g1*g2^12*g3^12*g4*t^8.76 + g2^16*g3^12*g4*t^8.76 + g2^12*g3^16*g4*t^8.76 + (g2^16*g3^16*g4*t^8.76)/g1 - t^4.73/(g2^3*g3^3*y) - t^7.04/(g2^7*g3^7*y) + (g2^2*g3^2*t^7.84)/y + (g2*g3*t^8.42)/y - (t^4.73*y)/(g2^3*g3^3) - (t^7.04*y)/(g2^7*g3^7) + g2^2*g3^2*t^7.84*y + g2*g3*t^8.42*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 |
---|---|---|---|---|---|---|---|---|---|
55682 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ M_1q_3\tilde{q}_3$ | 0.878 | 1.0676 | 0.8224 | [X:[], M:[0.7394], q:[0.6303, 0.6303, 0.6303], qb:[0.6303, 0.6303, 0.6303], phi:[0.5545]] | t^2.22 + t^3.33 + 14*t^3.78 + t^4.44 + 21*t^5.45 + t^5.55 - 22*t^6. - t^4.66/y - t^4.66*y | detail |