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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56252 | 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_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ + $ M_1M_8$ | 0.6843 | 0.8549 | 0.8004 | [X:[], M:[1.1636, 0.972, 0.8364, 0.7603, 0.8959, 0.7305, 1.2397, 0.8364], q:[0.3801, 0.4563], qb:[0.6479, 0.7835], phi:[0.4331]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [1, -15], [1, -5], [-2, 16], [-1, 7]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_6$, $ M_3$, $ M_8$, $ \phi_1^2$, $ M_5$, $ M_2$, $ \phi_1q_1^2$, $ M_7$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_6M_8$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_3^2$, $ M_3M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_5M_8$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2M_3$, $ M_2M_8$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_2^2$, $ M_6M_7$ | . | -3 | t^2.19 + 2*t^2.51 + t^2.6 + t^2.69 + t^2.92 + t^3.58 + t^3.72 + t^4.04 + t^4.29 + 2*t^4.38 + t^4.61 + 2*t^4.7 + t^4.79 + t^4.88 + 3*t^5.02 + 3*t^5.11 + t^5.19 + 2*t^5.2 + t^5.29 + t^5.38 + t^5.43 + t^5.51 + t^5.6 + t^5.83 + t^5.91 - 3*t^6. + t^6.09 + t^6.18 + 2*t^6.23 + t^6.27 + t^6.49 + 2*t^6.55 + t^6.57 + 2*t^6.64 + t^6.8 + 3*t^6.89 + t^6.95 + t^6.98 + t^7.07 + t^7.12 + t^7.16 + 3*t^7.21 + 3*t^7.3 + t^7.38 + 2*t^7.39 + t^7.48 + 3*t^7.53 + t^7.57 + 4*t^7.62 + t^7.7 + 4*t^7.71 + t^7.76 + 3*t^7.8 + 2*t^7.88 + t^7.93 + t^7.96 + t^7.97 + 2*t^8.02 + t^8.06 + t^8.07 + 2*t^8.11 - 4*t^8.19 + t^8.2 - t^8.28 + t^8.29 + t^8.33 + t^8.34 + t^8.42 + t^8.43 - 6*t^8.51 + t^8.52 - 2*t^8.6 + t^8.65 + t^8.68 - 2*t^8.69 + 3*t^8.74 + t^8.75 + 2*t^8.77 + t^8.78 + t^8.83 + t^8.87 + t^8.91 - 3*t^8.92 + t^8.96 - t^4.3/y - t^6.49/y - t^6.81/y - t^6.9/y - t^6.99/y - t^7.22/y + t^7.38/y + t^7.61/y + (3*t^7.7)/y + (2*t^7.79)/y + t^7.88/y + t^8.02/y + (4*t^8.11)/y + (2*t^8.2)/y + t^8.29/y + (2*t^8.43)/y + t^8.51/y + t^8.6/y - t^8.68/y + t^8.77/y + t^8.91/y - t^4.3*y - t^6.49*y - t^6.81*y - t^6.9*y - t^6.99*y - t^7.22*y + t^7.38*y + t^7.61*y + 3*t^7.7*y + 2*t^7.79*y + t^7.88*y + t^8.02*y + 4*t^8.11*y + 2*t^8.2*y + t^8.29*y + 2*t^8.43*y + t^8.51*y + t^8.6*y - t^8.68*y + t^8.77*y + t^8.91*y | (g1*t^2.19)/g2^5 + (2*g2^7*t^2.51)/g1 + t^2.6/g2^4 + (g1*t^2.69)/g2^15 + (g2^8*t^2.92)/g1^2 + (g1^2*t^3.58)/g2^18 + (g2^16*t^3.72)/g1^2 + (g2^28*t^4.04)/g1^4 + g1*g2*t^4.29 + (2*g1^2*t^4.38)/g2^10 + (g2^13*t^4.61)/g1 + 2*g2^2*t^4.7 + (g1*t^4.79)/g2^9 + (g1^2*t^4.88)/g2^20 + (3*g2^14*t^5.02)/g1^2 + (3*g2^3*t^5.11)/g1 + (g1^2*t^5.19)/g2^2 + (2*t^5.2)/g2^8 + (g1*t^5.29)/g2^19 + (g1^2*t^5.38)/g2^30 + (g2^15*t^5.43)/g1^3 + (g2^4*t^5.51)/g1^2 + t^5.6/(g1*g2^7) + (g2^16*t^5.83)/g1^4 + (g2^11*t^5.91)/g1 - 3*t^6. + (g1*t^6.09)/g2^11 + (g1^2*t^6.18)/g2^22 + (2*g2^23*t^6.23)/g1^3 + (g1^3*t^6.27)/g2^33 + (g1^2*t^6.49)/g2^4 + (2*g2^35*t^6.55)/g1^5 + (g1^3*t^6.57)/g2^15 + (2*g2^24*t^6.64)/g1^4 + g2^8*t^6.8 + (3*g1*t^6.89)/g2^3 + (g2^36*t^6.95)/g1^6 + (g1^2*t^6.98)/g2^14 + (g1^3*t^7.07)/g2^25 + (g2^20*t^7.12)/g1^2 + (g1^4*t^7.16)/g2^36 + (3*g2^9*t^7.21)/g1 + (3*t^7.3)/g2^2 + (g1^3*t^7.38)/g2^7 + (2*g1*t^7.39)/g2^13 + (g1^2*t^7.48)/g2^24 + (3*g2^21*t^7.53)/g1^3 + (g1^3*t^7.57)/g2^35 + (4*g2^10*t^7.62)/g1^2 + g1*g2^5*t^7.7 + (4*t^7.71)/(g1*g2) + (g2^44*t^7.76)/g1^6 + (3*t^7.8)/g2^12 + (2*g1*t^7.88)/g2^23 + (g2^22*t^7.93)/g1^4 + (g1^4*t^7.96)/g2^28 + (g1^2*t^7.97)/g2^34 + (2*g2^11*t^8.02)/g1^3 + (g1^3*t^8.06)/g2^45 + (g2^56*t^8.07)/g1^8 + (2*t^8.11)/g1^2 - (4*g1*t^8.19)/g2^5 + t^8.2/(g1*g2^11) - (g1^2*t^8.28)/g2^16 + t^8.29/g2^22 + (g2^29*t^8.33)/g1^3 + (g2^23*t^8.34)/g1^5 + (g2^18*t^8.42)/g1^2 + (g2^12*t^8.43)/g1^4 - (6*g2^7*t^8.51)/g1 + (g2*t^8.52)/g1^3 - (2*t^8.6)/g2^4 + (g2^41*t^8.65)/g1^5 + (g1^3*t^8.68)/g2^9 - (2*g1*t^8.69)/g2^15 + (3*g2^30*t^8.74)/g1^4 + (g2^24*t^8.75)/g1^6 + (2*g1^4*t^8.77)/g2^20 + (g1^2*t^8.78)/g2^26 + (g2^19*t^8.83)/g1^3 + (g1^3*t^8.87)/g2^37 + g2^14*t^8.91 - (3*g2^8*t^8.92)/g1^2 + (g1^4*t^8.96)/g2^48 - t^4.3/(g2^2*y) - (g1*t^6.49)/(g2^7*y) - (g2^5*t^6.81)/(g1*y) - t^6.9/(g2^6*y) - (g1*t^6.99)/(g2^17*y) - (g2^6*t^7.22)/(g1^2*y) + (g1^2*t^7.38)/(g2^10*y) + (g2^13*t^7.61)/(g1*y) + (3*g2^2*t^7.7)/y + (2*g1*t^7.79)/(g2^9*y) + (g1^2*t^7.88)/(g2^20*y) + (g2^14*t^8.02)/(g1^2*y) + (4*g2^3*t^8.11)/(g1*y) + (2*t^8.2)/(g2^8*y) + (g1*t^8.29)/(g2^19*y) + (2*g2^15*t^8.43)/(g1^3*y) + (g2^4*t^8.51)/(g1^2*y) + t^8.6/(g1*g2^7*y) - (g1^2*t^8.68)/(g2^12*y) + (g1^3*t^8.77)/(g2^23*y) + (g2^11*t^8.91)/(g1*y) - (t^4.3*y)/g2^2 - (g1*t^6.49*y)/g2^7 - (g2^5*t^6.81*y)/g1 - (t^6.9*y)/g2^6 - (g1*t^6.99*y)/g2^17 - (g2^6*t^7.22*y)/g1^2 + (g1^2*t^7.38*y)/g2^10 + (g2^13*t^7.61*y)/g1 + 3*g2^2*t^7.7*y + (2*g1*t^7.79*y)/g2^9 + (g1^2*t^7.88*y)/g2^20 + (g2^14*t^8.02*y)/g1^2 + (4*g2^3*t^8.11*y)/g1 + (2*t^8.2*y)/g2^8 + (g1*t^8.29*y)/g2^19 + (2*g2^15*t^8.43*y)/g1^3 + (g2^4*t^8.51*y)/g1^2 + (t^8.6*y)/(g1*g2^7) - (g1^2*t^8.68*y)/g2^12 + (g1^3*t^8.77*y)/g2^23 + (g2^11*t^8.91*y)/g1 |
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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51119 | 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_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_4M_7$ | 0.6704 | 0.8308 | 0.8069 | [X:[], M:[1.1573, 0.9835, 0.8427, 0.7473, 0.8881, 0.7246, 1.2527], q:[0.3736, 0.4691], qb:[0.6428, 0.7836], phi:[0.4327]] | t^2.17 + t^2.53 + t^2.6 + t^2.66 + t^2.95 + t^3.47 + t^3.54 + t^3.76 + t^4.11 + t^4.28 + 2*t^4.35 + t^4.63 + t^4.7 + t^4.77 + t^4.84 + t^5.06 + 2*t^5.12 + t^5.16 + t^5.19 + t^5.26 + t^5.33 + t^5.55 + t^5.61 + t^5.65 + t^5.9 + t^5.93 - 2*t^6. - t^4.3/y - t^4.3*y | detail |