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 |
---|---|---|---|---|---|---|---|---|---|
46197 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ | 0.566 | 0.7275 | 0.778 | [X:[], M:[0.8593, 0.9861, 0.7047, 1.0139], q:[0.7712, 0.7991], qb:[0.2148, 0.4962], phi:[0.4297]] | [X:[], M:[[0, -4], [-1, 1], [-1, -7], [1, -1]], q:[[-1, 2], [1, 0]], qb:[[0, -1], [0, 7]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2$, $ M_4$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_3\phi_1\tilde{q}_1^2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^3\tilde{q}_2$, $ M_2M_3$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1^4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_2\phi_1\tilde{q}_1^2$, $ M_1M_4$, $ M_4\phi_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -3 | t^2.11 + t^2.13 + 3*t^2.58 + t^2.96 + t^3.04 + t^3.8 + t^4.23 + t^4.25 + 2*t^4.27 + 3*t^4.69 + 4*t^4.71 + t^5.07 + t^5.09 + 6*t^5.16 + t^5.17 + 2*t^5.54 + 2*t^5.62 + 2*t^5.92 + t^5.94 - 3*t^6. + t^6.08 + t^6.34 + t^6.36 + 3*t^6.38 + 2*t^6.4 - t^6.44 - 2*t^6.46 + t^6.76 + 3*t^6.81 + 3*t^6.83 + 4*t^6.84 - t^6.91 + t^7.19 + t^7.21 + t^7.22 + 6*t^7.27 + 6*t^7.29 + t^7.31 + t^7.6 + 2*t^7.65 + t^7.67 - t^7.69 + 9*t^7.73 + t^7.75 + 2*t^8.03 + 2*t^8.05 + 2*t^8.07 - t^8.11 - 6*t^8.13 + 3*t^8.2 + t^8.22 + t^8.46 + t^8.48 + 5*t^8.49 + 3*t^8.51 + 3*t^8.53 - t^8.56 - 11*t^8.58 - 3*t^8.6 + 2*t^8.66 + 2*t^8.87 + t^8.89 + 3*t^8.92 + 3*t^8.94 + t^8.96 + 4*t^8.98 - t^4.29/y - t^6.4/y - (2*t^6.87)/y + t^7.25/y + (3*t^7.69)/y + (5*t^7.71)/y + t^8.07/y + t^8.09/y + (4*t^8.16)/y + (2*t^8.17)/y - t^8.52/y + (3*t^8.54)/y + (3*t^8.62)/y + t^8.92/y + t^8.94/y - (2*t^8.98)/y - t^4.29*y - t^6.4*y - 2*t^6.87*y + t^7.25*y + 3*t^7.69*y + 5*t^7.71*y + t^8.07*y + t^8.09*y + 4*t^8.16*y + 2*t^8.17*y - t^8.52*y + 3*t^8.54*y + 3*t^8.62*y + t^8.92*y + t^8.94*y - 2*t^8.98*y | t^2.11/(g1*g2^7) + g2^6*t^2.13 + (3*t^2.58)/g2^4 + (g2*t^2.96)/g1 + (g1*t^3.04)/g2 + (g2^9*t^3.8)/g1 + t^4.23/(g1^2*g2^14) + t^4.25/(g1*g2) + 2*g2^12*t^4.27 + (3*t^4.69)/(g1*g2^11) + 4*g2^2*t^4.71 + t^5.07/(g1^2*g2^6) + (g2^7*t^5.09)/g1 + (6*t^5.16)/g2^8 + g1*g2^5*t^5.17 + (2*t^5.54)/(g1*g2^3) + (2*g1*t^5.62)/g2^5 + (2*g2^2*t^5.92)/g1^2 + (g2^15*t^5.94)/g1 - 3*t^6. + (g1^2*t^6.08)/g2^2 + t^6.34/(g1^3*g2^21) + t^6.36/(g1^2*g2^8) + (3*g2^5*t^6.38)/g1 + 2*g2^18*t^6.4 - t^6.44/g2^10 - 2*g1*g2^3*t^6.46 + (g2^10*t^6.76)/g1^2 + (3*t^6.81)/(g1^2*g2^18) + (3*t^6.83)/(g1*g2^5) + 4*g2^8*t^6.84 - (g1*t^6.91)/g2^7 + t^7.19/(g1^3*g2^13) + t^7.21/g1^2 + (g2^13*t^7.22)/g1 + (6*t^7.27)/(g1*g2^15) + (6*t^7.29)/g2^2 + g1*g2^11*t^7.31 + (g2^18*t^7.6)/g1^2 + (2*t^7.65)/(g1^2*g2^10) + (g2^3*t^7.67)/g1 - g2^16*t^7.69 + (9*t^7.73)/g2^12 + g1*g2*t^7.75 + (2*t^8.03)/(g1^3*g2^5) + (2*g2^8*t^8.05)/g1^2 + (2*g2^21*t^8.07)/g1 - t^8.11/(g1*g2^7) - 6*g2^6*t^8.13 + (3*g1*t^8.2)/g2^9 + g1^2*g2^4*t^8.22 + t^8.46/(g1^4*g2^28) + t^8.48/(g1^3*g2^15) + (5*t^8.49)/(g1^2*g2^2) + (3*g2^11*t^8.51)/g1 + 3*g2^24*t^8.53 - t^8.56/(g1*g2^17) - (11*t^8.58)/g2^4 - 3*g1*g2^9*t^8.6 + (2*g1^2*t^8.66)/g2^6 + (2*g2^3*t^8.87)/g1^3 + (g2^16*t^8.89)/g1^2 + (3*t^8.92)/(g1^3*g2^25) + (3*t^8.94)/(g1^2*g2^12) + (g2*t^8.96)/g1 + 4*g2^14*t^8.98 - t^4.29/(g2^2*y) - t^6.4/(g1*g2^9*y) - (2*t^6.87)/(g2^6*y) + t^7.25/(g1*g2*y) + (3*t^7.69)/(g1*g2^11*y) + (5*g2^2*t^7.71)/y + t^8.07/(g1^2*g2^6*y) + (g2^7*t^8.09)/(g1*y) + (4*t^8.16)/(g2^8*y) + (2*g1*g2^5*t^8.17)/y - t^8.52/(g1^2*g2^16*y) + (3*t^8.54)/(g1*g2^3*y) + (3*g1*t^8.62)/(g2^5*y) + (g2^2*t^8.92)/(g1^2*y) + (g2^15*t^8.94)/(g1*y) - (2*t^8.98)/(g1*g2^13*y) - (t^4.29*y)/g2^2 - (t^6.4*y)/(g1*g2^9) - (2*t^6.87*y)/g2^6 + (t^7.25*y)/(g1*g2) + (3*t^7.69*y)/(g1*g2^11) + 5*g2^2*t^7.71*y + (t^8.07*y)/(g1^2*g2^6) + (g2^7*t^8.09*y)/g1 + (4*t^8.16*y)/g2^8 + 2*g1*g2^5*t^8.17*y - (t^8.52*y)/(g1^2*g2^16) + (3*t^8.54*y)/(g1*g2^3) + (3*g1*t^8.62*y)/g2^5 + (g2^2*t^8.92*y)/g1^2 + (g2^15*t^8.94*y)/g1 - (2*t^8.98*y)/(g1*g2^13) |
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 |
---|---|---|---|---|---|---|---|---|
46642 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ M_2\phi_1^2$ | 0.5452 | 0.6976 | 0.7815 | [X:[], M:[0.8786, 1.1214, 0.8786, 0.8786], q:[0.9017, 0.659], qb:[0.2197, 0.4624], phi:[0.4393]] | t^2.05 + 5*t^2.64 + t^3.36 + 3*t^4.09 + 6*t^4.68 + 13*t^5.27 + t^5.41 - 2*t^6. - t^4.32/y - t^4.32*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 |
---|---|---|---|---|---|---|---|---|---|
45978 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6895 | 0.8749 | 0.7881 | [X:[], M:[0.6959, 0.6857, 0.6931, 0.6986], q:[0.8196, 0.8325], qb:[0.4818, 0.4744], phi:[0.3479]] | t^2.06 + t^2.08 + 2*t^2.09 + t^2.1 + t^2.87 + t^3.88 + t^3.89 + t^3.93 + t^4.11 + 3*t^4.14 + t^4.15 + t^4.16 + 2*t^4.17 + 6*t^4.18 + t^4.19 + t^4.93 + t^4.95 + 4*t^4.96 + t^5.74 + t^5.94 + t^5.95 + t^5.96 + 2*t^5.97 + 2*t^5.98 + t^5.99 - 3*t^6. - t^4.04/y - t^4.04*y | detail |