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 |
---|---|---|---|---|---|---|---|---|---|
223 | SU2adj1nf2 | $M_1q_1q_2$ + $ 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]] | [X:[], M:[[4, 4], [-12, -12], [-5, 7]], 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 |
---|---|---|---|---|
$M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2M_3$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_3q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1^2$, $ M_3\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | . | -2 | 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^6.06 + t^6.13 + 2*t^6.27 + 3*t^6.4 + 2*t^6.48 + 2*t^6.54 + 2*t^6.59 + 4*t^6.61 + t^6.65 + 3*t^6.67 + t^6.73 + t^6.79 + t^6.8 + t^6.94 - t^7. + t^7.21 + t^7.27 + t^7.32 + 4*t^7.34 + t^7.4 + t^7.46 + 4*t^7.48 + t^7.59 + 4*t^7.61 + t^7.67 + t^7.72 + t^7.88 + t^7.94 + t^7.99 + 4*t^8.01 + t^8.05 + 3*t^8.07 + t^8.13 + t^8.15 + t^8.19 - 5*t^8.2 - 4*t^8.26 - t^8.32 + t^8.34 + 3*t^8.47 + t^8.53 + t^8.55 + 5*t^8.61 + t^8.66 + t^8.67 + 3*t^8.68 + t^8.72 + 3*t^8.74 + t^8.78 + 3*t^8.8 + 5*t^8.82 + 2*t^8.86 + 3*t^8.88 + t^8.91 - 2*t^8.93 - t^4.53/y - t^6.74/y + t^7.33/y + t^7.41/y + (2*t^7.47)/y - t^7.73/y + (2*t^8.14)/y + t^8.2/y + (2*t^8.27)/y + (2*t^8.33)/y + (4*t^8.41)/y + (2*t^8.46)/y + (2*t^8.81)/y + (3*t^8.87)/y + t^8.92/y + t^8.94/y - t^4.53*y - t^6.74*y + t^7.33*y + t^7.41*y + 2*t^7.47*y - t^7.73*y + 2*t^8.14*y + t^8.2*y + 2*t^8.27*y + 2*t^8.33*y + 4*t^8.41*y + 2*t^8.46*y + 2*t^8.81*y + 3*t^8.87*y + t^8.92*y + t^8.94*y | (2*g2^7*t^2.2)/g1^5 + (g1^7*t^2.26)/g2^5 + g1^4*g2^4*t^2.93 + t^3.07/(g1^4*g2^4) + (2*t^3.2)/(g1^12*g2^12) + g1*g2^13*t^3.6 + g1^13*g2*t^3.66 + (g2^5*t^3.74)/g1^7 + (g2^22*t^4.28)/g1^2 + g1^10*g2^10*t^4.33 + (g1^22*t^4.39)/g2^2 + (3*g2^14*t^4.41)/g1^10 + 2*g1^2*g2^2*t^4.47 + (g1^14*t^4.52)/g2^10 + (2*g2^11*t^5.14)/g1 + (g1^11*t^5.2)/g2 + (2*g2^3*t^5.27)/g1^9 + (g1^3*t^5.33)/g2^9 + (3*t^5.41)/(g1^17*g2^5) + t^5.46/(g1^5*g2^17) + (2*g2^20*t^5.81)/g1^4 + 3*g1^8*g2^8*t^5.87 + (g1^20*t^5.92)/g2^4 + (g2^12*t^5.94)/g1^12 - 2*t^6. - (g1^12*t^6.06)/g2^12 + t^6.13/(g1^8*g2^8) + (2*t^6.27)/(g1^16*g2^16) + (3*t^6.4)/(g1^24*g2^24) + (2*g2^29*t^6.48)/g1^7 + 2*g1^5*g2^17*t^6.54 + 2*g1^17*g2^5*t^6.59 + (4*g2^21*t^6.61)/g1^15 + (g1^29*t^6.65)/g2^7 + (3*g2^9*t^6.67)/g1^3 + (g1^9*t^6.73)/g2^3 + (g1^21*t^6.79)/g2^15 + (g2*t^6.8)/g1^11 + t^6.94/(g1^19*g2^7) - t^7./(g1^7*g2^19) + g1^2*g2^26*t^7.21 + g1^14*g2^14*t^7.27 + g1^26*g2^2*t^7.32 + (4*g2^18*t^7.34)/g1^6 + g1^6*g2^6*t^7.4 + (g1^18*t^7.46)/g2^6 + (4*g2^10*t^7.48)/g1^14 + (g1^10*t^7.59)/g2^14 + (4*g2^2*t^7.61)/g1^22 + t^7.67/(g1^10*g2^10) + (g1^2*t^7.72)/g2^22 + (g2^35*t^7.88)/g1 + g1^11*g2^23*t^7.94 + g1^23*g2^11*t^7.99 + (4*g2^27*t^8.01)/g1^9 + (g1^35*t^8.05)/g2 + 3*g1^3*g2^15*t^8.07 + g1^15*g2^3*t^8.13 + (g2^19*t^8.15)/g1^17 + (g1^27*t^8.19)/g2^9 - (5*g2^7*t^8.2)/g1^5 - (4*g1^7*t^8.26)/g2^5 - (g1^19*t^8.32)/g2^17 + t^8.34/(g1^13*g2) + (3*t^8.47)/(g1^21*g2^9) + t^8.53/(g1^9*g2^21) + (g2^44*t^8.55)/g1^4 + (4*t^8.61)/(g1^29*g2^17) + g1^8*g2^32*t^8.61 + t^8.66/(g1^17*g2^29) + g1^20*g2^20*t^8.67 + (3*g2^36*t^8.68)/g1^12 + g1^32*g2^8*t^8.72 + 3*g2^24*t^8.74 + (g1^44*t^8.78)/g2^4 + 3*g1^12*g2^12*t^8.8 + (5*g2^28*t^8.82)/g1^20 + 2*g1^24*t^8.86 + (3*g2^16*t^8.88)/g1^8 + (g1^36*t^8.91)/g2^12 - 2*g1^4*g2^4*t^8.93 - t^4.53/(g1^2*g2^2*y) - (g2^5*t^6.74)/(g1^7*y) + (g1^10*g2^10*t^7.33)/y + (g2^14*t^7.41)/(g1^10*y) + (2*g1^2*g2^2*t^7.47)/y - t^7.73/(g1^14*g2^14*y) + (2*g2^11*t^8.14)/(g1*y) + (g1^11*t^8.2)/(g2*y) + (2*g2^3*t^8.27)/(g1^9*y) + (2*g1^3*t^8.33)/(g2^9*y) + (4*t^8.41)/(g1^17*g2^5*y) + (2*t^8.46)/(g1^5*g2^17*y) + (2*g2^20*t^8.81)/(g1^4*y) + (3*g1^8*g2^8*t^8.87)/y + (g1^20*t^8.92)/(g2^4*y) + (g2^12*t^8.94)/(g1^12*y) - (t^4.53*y)/(g1^2*g2^2) - (g2^5*t^6.74*y)/g1^7 + g1^10*g2^10*t^7.33*y + (g2^14*t^7.41*y)/g1^10 + 2*g1^2*g2^2*t^7.47*y - (t^7.73*y)/(g1^14*g2^14) + (2*g2^11*t^8.14*y)/g1 + (g1^11*t^8.2*y)/g2 + (2*g2^3*t^8.27*y)/g1^9 + (2*g1^3*t^8.33*y)/g2^9 + (4*t^8.41*y)/(g1^17*g2^5) + (2*t^8.46*y)/(g1^5*g2^17) + (2*g2^20*t^8.81*y)/g1^4 + 3*g1^8*g2^8*t^8.87*y + (g1^20*t^8.92*y)/g2^4 + (g2^12*t^8.94*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
356 | $M_1q_1q_2$ + $ 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$ + $ M_2M_3$ | 0.5868 | 0.7598 | 0.7723 | [X:[], M:[0.9236, 1.2293, 0.7707], q:[0.7309, 0.3455], qb:[0.3455, 0.4252], phi:[0.5382]] | t^2.07 + 2*t^2.31 + t^2.77 + 2*t^3.23 + t^3.47 + 3*t^3.69 + 2*t^3.93 + t^4.15 + t^4.17 + 2*t^4.39 + 3*t^4.62 + t^4.84 + 2*t^5.08 + 2*t^5.3 + 5*t^5.54 + t^5.76 + 2*t^5.78 + 3*t^6. - t^4.61/y - t^4.61*y | detail | |
355 | $M_1q_1q_2$ + $ 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$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.608 | 0.7809 | 0.7786 | [X:[], M:[0.9776, 1.0673, 0.7444], q:[0.7444, 0.2781], qb:[0.4663, 0.4663], phi:[0.5112]] | 3*t^2.23 + t^2.93 + t^3.07 + 2*t^3.2 + 2*t^3.63 + t^3.77 + 3*t^4.33 + 6*t^4.47 + 3*t^5.17 + 3*t^5.3 + 4*t^5.44 + 6*t^5.87 - 2*t^6. - t^4.53/y - t^4.53*y | detail | |
1745 | $M_1q_1q_2$ + $ 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$ + $ M_3q_1\tilde{q}_2$ | 0.6066 | 0.7783 | 0.7794 | [X:[], M:[0.9857, 1.043, 0.7607], q:[0.7464, 0.2679], qb:[0.4642, 0.4928], phi:[0.5072]] | t^2.2 + 2*t^2.28 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.63 + t^3.72 + t^3.8 + t^4.31 + 2*t^4.39 + 3*t^4.48 + 3*t^4.56 + t^5.15 + 3*t^5.24 + 3*t^5.33 + 3*t^5.41 + t^5.83 + 2*t^5.91 - t^4.52/y - t^4.52*y | detail | |
357 | $M_1q_1q_2$ + $ 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$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6272 | 0.8162 | 0.7685 | [X:[], M:[0.9767, 1.0698, 0.7442, 0.7442], q:[0.7442, 0.2791], qb:[0.4651, 0.4651], phi:[0.5116]] | 4*t^2.23 + t^2.93 + t^3.07 + 2*t^3.21 + 2*t^3.63 + 3*t^4.33 + 10*t^4.47 + 4*t^5.16 + 4*t^5.3 + 6*t^5.44 + 8*t^5.86 - 5*t^6. - t^4.53/y - t^4.53*y | detail | |
1750 | $M_1q_1q_2$ + $ 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$ + $ M_4q_1\tilde{q}_1$ | 0.6264 | 0.8156 | 0.7681 | [X:[], M:[0.9845, 1.0466, 0.7252, 0.7563], q:[0.7461, 0.2694], qb:[0.4976, 0.4558], phi:[0.5078]] | 2*t^2.18 + t^2.27 + t^2.3 + t^2.95 + t^3.05 + 2*t^3.14 + t^3.61 + t^3.7 + t^4.26 + 3*t^4.35 + t^4.38 + 2*t^4.44 + 2*t^4.48 + t^4.51 + t^4.54 + t^4.57 + t^4.6 + 2*t^5.13 + 3*t^5.22 + t^5.25 + 4*t^5.32 + t^5.35 + 2*t^5.41 + t^5.44 + 2*t^5.78 + 2*t^5.87 + t^5.91 + t^5.97 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
1748 | $M_1q_1q_2$ + $ 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$ + $ M_4q_1\tilde{q}_2$ | 0.6255 | 0.812 | 0.7703 | [X:[], M:[0.9851, 1.0448, 0.749, 0.7734], q:[0.7463, 0.2687], qb:[0.4748, 0.4804], phi:[0.5075]] | t^2.23 + 2*t^2.25 + t^2.32 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.66 + t^3.77 + t^4.37 + t^4.39 + t^4.4 + t^4.46 + 2*t^4.48 + 3*t^4.49 + t^4.55 + 2*t^4.57 + t^4.64 + t^5.19 + 2*t^5.2 + 2*t^5.28 + 2*t^5.29 + 2*t^5.36 + 3*t^5.38 + 2*t^5.45 + t^5.89 + 2*t^5.91 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
1747 | $M_1q_1q_2$ + $ 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$ + $ q_1q_2\tilde{q}_1^2$ | 0.6079 | 0.7819 | 0.7775 | [X:[], M:[0.9811, 1.0568, 0.7263], q:[0.7453, 0.2737], qb:[0.4905, 0.4527], phi:[0.5095]] | 2*t^2.18 + t^2.29 + t^2.94 + t^3.06 + 2*t^3.17 + t^3.59 + 2*t^3.71 + t^4.24 + 4*t^4.36 + 3*t^4.47 + t^4.59 + 2*t^5.12 + 3*t^5.24 + 4*t^5.35 + t^5.46 + 2*t^5.77 + 4*t^5.89 - t^6. - t^4.53/y - t^4.53*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.53/y - t^4.53*y | detail |