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 |
---|---|---|---|---|---|---|---|---|---|
2174 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_7q_1q_2$ | 0.6864 | 0.8636 | 0.7948 | [X:[], M:[0.9824, 1.0823, 1.1471, 0.8529, 0.7882, 0.9177, 0.6882], q:[0.7706, 0.5412], qb:[0.4764, 0.3765], phi:[0.4588]] | [X:[], M:[[13], [-4], [5], [-5], [-14], [4], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_7$, $ M_5$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_5^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_4M_5$, $ M_1M_7$, $ M_4^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_6^2$, $ M_3M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3M_5$, $ M_7q_1\tilde{q}_1$, $ M_1^2$ | $M_7\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.06 + t^2.36 + t^2.56 + 2*t^2.75 + t^2.95 + t^3.44 + t^3.74 + t^3.94 + 2*t^4.13 + t^4.24 + 2*t^4.43 + 2*t^4.62 + t^4.73 + 2*t^4.82 + t^4.92 + t^5.01 + 3*t^5.12 + 3*t^5.31 + 4*t^5.51 + t^5.7 + t^5.81 + t^5.89 - t^6. + t^6.11 + 2*t^6.19 + 2*t^6.3 + t^6.39 + 3*t^6.49 + t^6.6 + 3*t^6.69 + 3*t^6.79 + 3*t^6.88 + 4*t^6.99 + t^7.08 + t^7.09 + 4*t^7.18 + t^7.29 + 3*t^7.38 + 3*t^7.48 + 4*t^7.57 + 3*t^7.68 + t^7.76 + 4*t^7.87 + t^7.96 + t^7.98 + 2*t^8.06 + 2*t^8.17 + 6*t^8.26 - t^8.36 + 2*t^8.45 + 2*t^8.47 - t^8.56 + t^8.65 + 3*t^8.66 - t^8.75 + t^8.84 + 5*t^8.86 + t^8.96 - t^4.38/y - t^6.44/y - t^6.74/y - t^7.13/y - t^7.32/y + (2*t^7.43)/y + (2*t^7.62)/y + (2*t^7.82)/y + t^7.92/y + (2*t^8.01)/y + (2*t^8.12)/y + (4*t^8.31)/y + (2*t^8.51)/y + (2*t^8.7)/y + t^8.81/y - t^4.38*y - t^6.44*y - t^6.74*y - t^7.13*y - t^7.32*y + 2*t^7.43*y + 2*t^7.62*y + 2*t^7.82*y + t^7.92*y + 2*t^8.01*y + 2*t^8.12*y + 4*t^8.31*y + 2*t^8.51*y + 2*t^8.7*y + t^8.81*y | g1^3*t^2.06 + t^2.36/g1^14 + t^2.56/g1^5 + 2*g1^4*t^2.75 + g1^13*t^2.95 + g1^5*t^3.44 + t^3.74/g1^12 + t^3.94/g1^3 + 2*g1^6*t^4.13 + t^4.24/g1^20 + (2*t^4.43)/g1^11 + (2*t^4.62)/g1^2 + t^4.73/g1^28 + 2*g1^7*t^4.82 + t^4.92/g1^19 + g1^16*t^5.01 + (3*t^5.12)/g1^10 + (3*t^5.31)/g1 + 4*g1^8*t^5.51 + g1^17*t^5.7 + t^5.81/g1^9 + g1^26*t^5.89 - t^6. + t^6.11/g1^26 + 2*g1^9*t^6.19 + (2*t^6.3)/g1^17 + g1^18*t^6.39 + (3*t^6.49)/g1^8 + t^6.6/g1^34 + 3*g1*t^6.69 + (3*t^6.79)/g1^25 + 3*g1^10*t^6.88 + (4*t^6.99)/g1^16 + g1^19*t^7.08 + t^7.09/g1^42 + (4*t^7.18)/g1^7 + t^7.29/g1^33 + 3*g1^2*t^7.38 + (3*t^7.48)/g1^24 + 4*g1^11*t^7.57 + (3*t^7.68)/g1^15 + g1^20*t^7.76 + (4*t^7.87)/g1^6 + g1^29*t^7.96 + t^7.98/g1^32 + 2*g1^3*t^8.06 + (2*t^8.17)/g1^23 + 6*g1^12*t^8.26 - t^8.36/g1^14 + 2*g1^21*t^8.45 + (2*t^8.47)/g1^40 - t^8.56/g1^5 + g1^30*t^8.65 + (3*t^8.66)/g1^31 - g1^4*t^8.75 + g1^39*t^8.84 + (5*t^8.86)/g1^22 + t^8.96/g1^48 - (g1^2*t^4.38)/y - (g1^5*t^6.44)/y - t^6.74/(g1^12*y) - (g1^6*t^7.13)/y - (g1^15*t^7.32)/y + (2*t^7.43)/(g1^11*y) + (2*t^7.62)/(g1^2*y) + (2*g1^7*t^7.82)/y + t^7.92/(g1^19*y) + (2*g1^16*t^8.01)/y + (2*t^8.12)/(g1^10*y) + (4*t^8.31)/(g1*y) + (2*g1^8*t^8.51)/y + (2*g1^17*t^8.7)/y + t^8.81/(g1^9*y) - g1^2*t^4.38*y - g1^5*t^6.44*y - (t^6.74*y)/g1^12 - g1^6*t^7.13*y - g1^15*t^7.32*y + (2*t^7.43*y)/g1^11 + (2*t^7.62*y)/g1^2 + 2*g1^7*t^7.82*y + (t^7.92*y)/g1^19 + 2*g1^16*t^8.01*y + (2*t^8.12*y)/g1^10 + (4*t^8.31*y)/g1 + 2*g1^8*t^8.51*y + 2*g1^17*t^8.7*y + (t^8.81*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
4156 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_7q_1q_2$ + $ M_3M_8$ | 0.6995 | 0.8867 | 0.7889 | [X:[], M:[0.9948, 1.0785, 1.1519, 0.8481, 0.7748, 0.9215, 0.6911, 0.8481], q:[0.7696, 0.5393], qb:[0.4659, 0.3822], phi:[0.4607]] | t^2.07 + t^2.32 + 2*t^2.54 + 2*t^2.76 + t^2.98 + t^3.71 + t^3.93 + 2*t^4.15 + t^4.18 + 2*t^4.4 + 3*t^4.62 + t^4.65 + 2*t^4.84 + 2*t^4.87 + t^5.06 + 5*t^5.09 + 5*t^5.31 + 4*t^5.53 + t^5.75 + t^5.97 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
4155 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_7q_1q_2$ + $ M_8\phi_1\tilde{q}_1\tilde{q}_2$ | 0.7071 | 0.9038 | 0.7824 | [X:[], M:[0.9812, 1.0827, 1.1466, 0.8534, 0.7894, 0.9173, 0.688, 0.688], q:[0.7707, 0.5413], qb:[0.4774, 0.376], phi:[0.4587]] | 2*t^2.06 + t^2.37 + t^2.56 + 2*t^2.75 + t^2.94 + t^3.44 + t^3.74 + 4*t^4.13 + t^4.24 + 3*t^4.43 + 3*t^4.62 + t^4.74 + 4*t^4.82 + t^4.93 + 2*t^5.01 + 3*t^5.12 + 3*t^5.31 + 5*t^5.5 + t^5.7 + 2*t^5.81 + t^5.89 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
4157 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ + $ M_7q_1q_2$ + $ M_8q_1\tilde{q}_1$ | 0.7056 | 0.8986 | 0.7853 | [X:[], M:[0.9676, 1.0869, 1.1414, 0.8586, 0.8041, 0.9131, 0.6848, 0.7394], q:[0.7717, 0.5434], qb:[0.4889, 0.3697], phi:[0.4566]] | t^2.05 + t^2.22 + t^2.41 + t^2.58 + 2*t^2.74 + t^2.9 + t^3.42 + t^3.95 + 2*t^4.11 + t^4.27 + t^4.3 + t^4.44 + 2*t^4.47 + 3*t^4.63 + 3*t^4.79 + t^4.82 + 3*t^4.96 + t^4.99 + t^5.12 + 3*t^5.15 + 3*t^5.32 + 4*t^5.48 + 2*t^5.64 + t^5.81 - t^6. - t^4.37/y - t^4.37*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 |
---|---|---|---|---|---|---|---|---|---|
1146 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ | 0.6657 | 0.8235 | 0.8084 | [X:[], M:[0.9836, 1.082, 1.1475, 0.8525, 0.7869, 0.918], q:[0.7705, 0.541], qb:[0.4754, 0.3771], phi:[0.459]] | t^2.36 + t^2.56 + 2*t^2.75 + t^2.95 + t^3.44 + t^3.74 + 2*t^3.93 + t^4.13 + t^4.23 + t^4.43 + t^4.62 + t^4.72 + t^4.92 + 3*t^5.11 + 3*t^5.31 + 3*t^5.51 + t^5.7 + t^5.9 - 2*t^6. - t^4.38/y - t^4.38*y | detail |