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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56001 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ + $ M_7\phi_1q_1^2$ | 0.7291 | 0.9105 | 0.8008 | [X:[], M:[0.9974, 1.0487, 1.0026, 0.8538, 0.9052, 0.9974, 0.6705], q:[0.4269, 0.5757], qb:[0.5244, 0.5705], phi:[0.4756]] | [X:[], M:[[-3, 1], [2, 0], [3, -1], [-6, 0], [-1, -1], [-3, 1], [7, 0]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_7$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_6$, $ M_2$, $ q_2\tilde{q}_1$, $ M_7^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4M_7$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1M_7$, $ M_6M_7$, $ M_4^2$, $ M_2M_7$, $ M_4M_5$, $ M_7q_2\tilde{q}_1$, $ M_4\phi_1^2$, $ M_5^2$, $ M_1M_4$, $ M_4M_6$, $ M_2M_4$, $ M_1M_5$, $ M_5M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_4q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_6$, $ M_6^2$ | . | -3 | t^2.01 + t^2.56 + t^2.72 + t^2.85 + 2*t^2.99 + t^3.15 + t^3.3 + t^4.02 + t^4.28 + t^4.42 + t^4.43 + 2*t^4.57 + t^4.71 + 2*t^4.73 + t^4.85 + 2*t^4.87 + t^4.88 + 2*t^5. + t^5.12 + t^5.16 + t^5.28 + t^5.31 + t^5.42 + t^5.43 + t^5.55 + 3*t^5.71 + t^5.85 + t^5.86 + 2*t^5.98 - 3*t^6. + t^6.03 + t^6.14 + 2*t^6.29 + t^6.45 + 2*t^6.58 + t^6.6 + t^6.72 + 2*t^6.74 + t^6.84 + t^6.86 + 2*t^6.88 + t^6.89 + t^7. + 2*t^7.02 + 2*t^7.13 + t^7.15 + t^7.17 + 2*t^7.27 + 2*t^7.29 + t^7.32 + 2*t^7.41 + 2*t^7.43 + 2*t^7.44 + 3*t^7.57 + t^7.58 + t^7.6 + t^7.68 + 2*t^7.7 + 3*t^7.72 + t^7.74 + 3*t^7.84 + t^7.86 + 2*t^7.87 + t^7.98 + t^7.99 + 2*t^8. - 3*t^8.01 + t^8.03 + t^8.05 + t^8.12 + 2*t^8.15 + t^8.18 + 2*t^8.27 + 2*t^8.3 + 2*t^8.42 + t^8.46 + t^8.55 - 3*t^8.56 + t^8.58 + 2*t^8.6 + t^8.61 + 2*t^8.7 - 4*t^8.72 + t^8.73 + 2*t^8.75 + t^8.84 - t^8.85 + 2*t^8.89 + t^8.9 + 2*t^8.98 - 6*t^8.99 - t^4.43/y - t^6.44/y - t^6.99/y - t^7.14/y - t^7.42/y + t^7.43/y + t^7.57/y + t^7.71/y + t^7.73/y + (2*t^7.87)/y + (2*t^8.)/y + t^8.16/y + t^8.28/y + t^8.31/y + (2*t^8.42)/y - t^8.45/y + (2*t^8.55)/y + t^8.57/y + (3*t^8.71)/y + (2*t^8.85)/y + (2*t^8.86)/y + t^8.98/y - t^4.43*y - t^6.44*y - t^6.99*y - t^7.14*y - t^7.42*y + t^7.43*y + t^7.57*y + t^7.71*y + t^7.73*y + 2*t^7.87*y + 2*t^8.*y + t^8.16*y + t^8.28*y + t^8.31*y + 2*t^8.42*y - t^8.45*y + 2*t^8.55*y + t^8.57*y + 3*t^8.71*y + 2*t^8.85*y + 2*t^8.86*y + t^8.98*y | g1^7*t^2.01 + t^2.56/g1^6 + t^2.72/(g1*g2) + t^2.85/g1^2 + (2*g2*t^2.99)/g1^3 + g1^2*t^3.15 + (g1^7*t^3.3)/g2 + g1^14*t^4.02 + t^4.28/g1^3 + (g2*t^4.42)/g1^4 + (g1^2*t^4.43)/g2 + 2*g1*t^4.57 + g2*t^4.71 + (2*g1^6*t^4.73)/g2 + (g2^2*t^4.85)/g1 + 2*g1^5*t^4.87 + (g1^11*t^4.88)/g2^2 + 2*g1^4*g2*t^5. + t^5.12/g1^12 + g1^9*t^5.16 + t^5.28/(g1^7*g2) + (g1^14*t^5.31)/g2 + t^5.42/g1^8 + t^5.43/(g1^2*g2^2) + (g2*t^5.55)/g1^9 + (3*t^5.71)/g1^4 + (g2*t^5.85)/g1^5 + (g1*t^5.86)/g2 + (2*g2^2*t^5.98)/g1^6 - 3*t^6. + g1^21*t^6.03 + (g2*t^6.14)/g1 + 2*g1^4*t^6.29 + (g1^9*t^6.45)/g2 + 2*g1^8*t^6.58 + (g1^14*t^6.6)/g2^2 + g1^7*g2*t^6.72 + (2*g1^13*t^6.74)/g2 + t^6.84/g1^9 + g1^6*g2^2*t^6.86 + 2*g1^12*t^6.88 + (g1^18*t^6.89)/g2^2 + t^7./(g1^4*g2) + 2*g1^11*g2*t^7.02 + (2*t^7.13)/g1^5 + (g1*t^7.15)/g2^2 + g1^16*t^7.17 + (2*g2*t^7.27)/g1^6 + (2*t^7.29)/g2 + (g1^21*t^7.32)/g2 + (2*g2^2*t^7.41)/g1^7 + (2*t^7.43)/g1 + (2*g1^5*t^7.44)/g2^2 + (3*g2*t^7.57)/g1^2 + (g1^4*t^7.58)/g2 + (g1^10*t^7.6)/g2^3 + t^7.68/g1^18 + (2*g2^2*t^7.7)/g1^3 + 3*g1^3*t^7.72 + (g1^9*t^7.74)/g2^2 + t^7.84/(g1^13*g2) + (2*g2^3*t^7.84)/g1^4 + g1^2*g2*t^7.86 + (2*g1^8*t^7.87)/g2 + t^7.98/g1^14 + t^7.99/(g1^8*g2^2) + 2*g1*g2^2*t^8. - 3*g1^7*t^8.01 + (g1^13*t^8.03)/g2^2 + g1^28*t^8.05 + (g2*t^8.12)/g1^15 + t^8.15/(g1^3*g2^3) + g1^6*g2*t^8.15 + (g1^18*t^8.18)/g2^3 + (2*t^8.27)/g1^10 + 2*g1^11*t^8.3 + (2*t^8.42)/(g1^5*g2) + (g1^16*t^8.46)/g2 + (g2^2*t^8.55)/g1^12 - (3*t^8.56)/g1^6 + t^8.58/g2^2 + 2*g1^15*t^8.6 + (g1^21*t^8.61)/g2^2 + (2*g2*t^8.7)/g1^7 - (4*t^8.72)/(g1*g2) + g1^14*g2*t^8.73 + (2*g1^20*t^8.75)/g2 + (g2^2*t^8.84)/g1^8 - t^8.85/g1^2 - (g1^4*t^8.87)/g2^2 + g1^13*g2^2*t^8.87 + 2*g1^19*t^8.89 + (g1^25*t^8.9)/g2^2 + (2*g2^3*t^8.98)/g1^9 - (6*g2*t^8.99)/g1^3 - t^4.43/(g1*y) - (g1^6*t^6.44)/y - t^6.99/(g1^7*y) - t^7.14/(g1^2*g2*y) - (g2*t^7.42)/(g1^4*y) + (g1^2*t^7.43)/(g2*y) + (g1*t^7.57)/y + (g2*t^7.71)/y + (g1^6*t^7.73)/(g2*y) + (2*g1^5*t^7.87)/y + (2*g1^4*g2*t^8.)/y + (g1^9*t^8.16)/y + t^8.28/(g1^7*g2*y) + (g1^14*t^8.31)/(g2*y) + (2*t^8.42)/(g1^8*y) - (g1^13*t^8.45)/y + (2*g2*t^8.55)/(g1^9*y) + t^8.57/(g1^3*g2*y) + (3*t^8.71)/(g1^4*y) + (2*g2*t^8.85)/(g1^5*y) + (2*g1*t^8.86)/(g2*y) + (g2^2*t^8.98)/(g1^6*y) - (t^4.43*y)/g1 - g1^6*t^6.44*y - (t^6.99*y)/g1^7 - (t^7.14*y)/(g1^2*g2) - (g2*t^7.42*y)/g1^4 + (g1^2*t^7.43*y)/g2 + g1*t^7.57*y + g2*t^7.71*y + (g1^6*t^7.73*y)/g2 + 2*g1^5*t^7.87*y + 2*g1^4*g2*t^8.*y + g1^9*t^8.16*y + (t^8.28*y)/(g1^7*g2) + (g1^14*t^8.31*y)/g2 + (2*t^8.42*y)/g1^8 - g1^13*t^8.45*y + (2*g2*t^8.55*y)/g1^9 + (t^8.57*y)/(g1^3*g2) + (3*t^8.71*y)/g1^4 + (2*g2*t^8.85*y)/g1^5 + (2*g1*t^8.86*y)/g2 + (g2^2*t^8.98*y)/g1^6 |
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 |
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48288 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_3M_6$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[0.9973, 1.0492, 1.0027, 0.8523, 0.9042, 0.9973], q:[0.4261, 0.5766], qb:[0.5246, 0.5712], phi:[0.4754]] | t^2.56 + t^2.71 + t^2.85 + 2*t^2.99 + t^3.15 + t^3.3 + t^3.98 + t^4.28 + t^4.42 + t^4.43 + t^4.57 + t^4.71 + t^4.73 + t^4.85 + t^4.87 + t^4.89 + t^5.11 + t^5.27 + t^5.41 + t^5.43 + t^5.55 + 3*t^5.7 + t^5.84 + t^5.86 + 2*t^5.98 - 3*t^6. - t^4.43/y - t^4.43*y | detail |