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 |
---|---|---|---|---|---|---|---|---|---|
131 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ | 0.5887 | 0.7456 | 0.7895 | [X:[], M:[0.9784, 1.0648], q:[0.7446, 0.277], qb:[0.4676, 0.4676], phi:[0.5108]] | [X:[], M:[[4, 4], [-12, -12]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | 2*t^2.23 + t^2.94 + t^3.06 + 2*t^3.19 + 2*t^3.64 + 2*t^3.77 + 3*t^4.34 + 3*t^4.47 + 2*t^5.17 + 2*t^5.3 + 2*t^5.43 + 4*t^5.87 - t^6. + t^6.13 + 2*t^6.26 + 3*t^6.39 + 4*t^6.57 + 4*t^6.7 + 2*t^6.83 + 2*t^6.96 + 3*t^7.27 + 5*t^7.4 + 4*t^7.53 + 2*t^7.66 + 4*t^7.97 + 6*t^8.1 - 4*t^8.23 + 2*t^8.49 + 2*t^8.62 + 5*t^8.68 + 5*t^8.81 - t^4.53/y + t^7.34/y + t^7.47/y - t^7.73/y + (2*t^8.17)/y + (2*t^8.3)/y + (4*t^8.43)/y + (4*t^8.87)/y - t^4.53*y + t^7.34*y + t^7.47*y - t^7.73*y + 2*t^8.17*y + 2*t^8.3*y + 4*t^8.43*y + 4*t^8.87*y | (g1^7*t^2.23)/g2^5 + (g2^7*t^2.23)/g1^5 + g1^4*g2^4*t^2.94 + t^3.06/(g1^4*g2^4) + (2*t^3.19)/(g1^12*g2^12) + g1^13*g2*t^3.64 + g1*g2^13*t^3.64 + (g1^5*t^3.77)/g2^7 + (g2^5*t^3.77)/g1^7 + (g1^22*t^4.34)/g2^2 + g1^10*g2^10*t^4.34 + (g2^22*t^4.34)/g1^2 + (g1^14*t^4.47)/g2^10 + g1^2*g2^2*t^4.47 + (g2^14*t^4.47)/g1^10 + (g1^11*t^5.17)/g2 + (g2^11*t^5.17)/g1 + (g1^3*t^5.3)/g2^9 + (g2^3*t^5.3)/g1^9 + t^5.43/(g1^5*g2^17) + t^5.43/(g1^17*g2^5) + (g1^20*t^5.87)/g2^4 + 2*g1^8*g2^8*t^5.87 + (g2^20*t^5.87)/g1^4 - t^6. + t^6.13/(g1^8*g2^8) + (2*t^6.26)/(g1^16*g2^16) + (3*t^6.39)/(g1^24*g2^24) + (g1^29*t^6.57)/g2^7 + g1^17*g2^5*t^6.57 + g1^5*g2^17*t^6.57 + (g2^29*t^6.57)/g1^7 + (g1^21*t^6.7)/g2^15 + (g1^9*t^6.7)/g2^3 + (g2^9*t^6.7)/g1^3 + (g2^21*t^6.7)/g1^15 + (g1*t^6.83)/g2^11 + (g2*t^6.83)/g1^11 + t^6.96/(g1^7*g2^19) + t^6.96/(g1^19*g2^7) + g1^26*g2^2*t^7.27 + g1^14*g2^14*t^7.27 + g1^2*g2^26*t^7.27 + (2*g1^18*t^7.4)/g2^6 + g1^6*g2^6*t^7.4 + (2*g2^18*t^7.4)/g1^6 + (2*g1^10*t^7.53)/g2^14 + (2*g2^10*t^7.53)/g1^14 + (g1^2*t^7.66)/g2^22 + (g2^2*t^7.66)/g1^22 + (g1^35*t^7.97)/g2 + g1^23*g2^11*t^7.97 + g1^11*g2^23*t^7.97 + (g2^35*t^7.97)/g1 + (2*g1^27*t^8.1)/g2^9 + g1^15*g2^3*t^8.1 + g1^3*g2^15*t^8.1 + (2*g2^27*t^8.1)/g1^9 - (2*g1^7*t^8.23)/g2^5 - (2*g2^7*t^8.23)/g1^5 + t^8.49/(g1^9*g2^21) + t^8.49/(g1^21*g2^9) + t^8.62/(g1^17*g2^29) + t^8.62/(g1^29*g2^17) + (g1^44*t^8.68)/g2^4 + g1^32*g2^8*t^8.68 + g1^20*g2^20*t^8.68 + g1^8*g2^32*t^8.68 + (g2^44*t^8.68)/g1^4 + g1^24*t^8.81 + (g1^36*t^8.81)/g2^12 + g1^12*g2^12*t^8.81 + g2^24*t^8.81 + (g2^36*t^8.81)/g1^12 + (g1^28*t^8.94)/g2^20 - 2*g1^4*g2^4*t^8.94 + (g2^28*t^8.94)/g1^20 - t^4.53/(g1^2*g2^2*y) + (g1^10*g2^10*t^7.34)/y + (g1^2*g2^2*t^7.47)/y - t^7.73/(g1^14*g2^14*y) + (g1^11*t^8.17)/(g2*y) + (g2^11*t^8.17)/(g1*y) + (g1^3*t^8.3)/(g2^9*y) + (g2^3*t^8.3)/(g1^9*y) + (2*t^8.43)/(g1^5*g2^17*y) + (2*t^8.43)/(g1^17*g2^5*y) + (g1^20*t^8.87)/(g2^4*y) + (2*g1^8*g2^8*t^8.87)/y + (g2^20*t^8.87)/(g1^4*y) - (t^4.53*y)/(g1^2*g2^2) + g1^10*g2^10*t^7.34*y + g1^2*g2^2*t^7.47*y - (t^7.73*y)/(g1^14*g2^14) + (g1^11*t^8.17*y)/g2 + (g2^11*t^8.17*y)/g1 + (g1^3*t^8.3*y)/g2^9 + (g2^3*t^8.3*y)/g1^9 + (2*t^8.43*y)/(g1^5*g2^17) + (2*t^8.43*y)/(g1^17*g2^5) + (g1^20*t^8.87*y)/g2^4 + 2*g1^8*g2^8*t^8.87*y + (g2^20*t^8.87*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
215 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ | 0.587 | 0.7429 | 0.7902 | [X:[], M:[0.9864, 1.0409, 1.0136], q:[0.7466, 0.267], qb:[0.4795, 0.4795], phi:[0.5068]] | 2*t^2.24 + 2*t^3.04 + 2*t^3.12 + 2*t^3.68 + 2*t^3.76 + 3*t^4.4 + 3*t^4.48 + 4*t^5.28 + 2*t^5.36 + 3*t^5.92 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
218 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ | 0.5976 | 0.7632 | 0.783 | [X:[], M:[0.9572, 1.1283, 0.8717], q:[0.7393, 0.3035], qb:[0.4358, 0.4358], phi:[0.5214]] | 2*t^2.22 + t^2.62 + t^2.87 + t^3.13 + t^3.38 + 2*t^3.53 + 2*t^3.78 + 3*t^4.18 + 3*t^4.44 + 2*t^4.83 + 2*t^5.09 + t^5.23 + 2*t^5.35 + t^5.49 + 5*t^5.74 - t^4.56/y - t^4.56*y | detail | |
223 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ | 0.6081 | 0.7817 | 0.778 | [X:[], M:[0.9777, 1.0669, 0.7349], q:[0.7444, 0.2779], qb:[0.4761, 0.457], phi:[0.5112]] | 2*t^2.2 + t^2.26 + t^2.93 + t^3.07 + 2*t^3.2 + t^3.6 + t^3.66 + t^3.74 + t^4.28 + t^4.33 + t^4.39 + 3*t^4.41 + 2*t^4.47 + t^4.52 + 2*t^5.14 + t^5.2 + 2*t^5.27 + t^5.33 + 3*t^5.41 + t^5.46 + 2*t^5.81 + 3*t^5.87 + t^5.92 + t^5.94 - 2*t^6. - t^4.53/y - t^4.53*y | detail | |
216 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ | 0.5911 | 0.7501 | 0.788 | [X:[], M:[0.9703, 1.0891, 0.9703], q:[0.7426, 0.2871], qb:[0.4555, 0.4555], phi:[0.5148]] | 2*t^2.23 + 2*t^2.91 + 2*t^3.27 + 2*t^3.59 + 2*t^3.77 + 3*t^4.28 + 3*t^4.46 + 4*t^5.14 + 2*t^5.49 + 6*t^5.82 - 2*t^6. - t^4.54/y - t^4.54*y | detail | |
1716 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.6066 | 0.7782 | 0.7795 | [X:[], M:[0.9854, 1.0439, 0.7625], q:[0.7463, 0.2683], qb:[0.4911, 0.4649], phi:[0.5073]] | t^2.2 + t^2.28 + t^2.29 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.63 + t^3.72 + t^3.8 + t^4.31 + t^4.39 + t^4.4 + t^4.47 + t^4.48 + t^4.49 + t^4.56 + t^4.57 + t^4.58 + t^5.16 + t^5.23 + 2*t^5.24 + t^5.32 + 2*t^5.33 + t^5.41 + 2*t^5.42 + t^5.83 + t^5.91 + t^5.92 - t^6. - t^4.52/y - t^4.52*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 |
---|---|---|---|---|---|---|---|---|---|
81 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.7025 | 0.8516 | 0.8249 | [X:[], M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | t^2.03 + t^2.31 + t^2.6 + 2*t^3.25 + t^4.05 + 2*t^4.12 + t^4.26 + t^4.34 + 2*t^4.41 + 3*t^4.55 + 2*t^4.63 + t^4.92 + t^5.21 + 2*t^5.28 + 2*t^5.57 - 5*t^6. - t^4.16/y - t^4.16*y | detail |