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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1133 | 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}_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6541 | 0.8078 | 0.8098 | [X:[], M:[0.9792, 1.0833, 1.1458, 0.8542, 0.6875, 1.0833], q:[0.7708, 0.5417], qb:[0.4792, 0.375], phi:[0.4583]] | [X:[], M:[[13], [-4], [5], [-5], [3], [-4]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 | {a: 4019/6144, c: 4963/6144, M1: 47/48, M2: 13/12, M3: 55/48, M4: 41/48, M5: 11/16, M6: 13/12, q1: 37/48, q2: 13/24, qb1: 23/48, qb2: 3/8, phi1: 11/24} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_5$, $ M_4$, $ M_1$, $ M_2$, $ M_6$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2^2$, $ M_1M_5$, $ M_4^2$, $ M_2M_5$, $ M_5M_6$, $ M_1M_4$, $ M_3M_5$, $ M_2M_4$, $ M_4M_6$, $ M_5q_1\tilde{q}_1$, $ M_1^2$ | $M_5q_1q_2$ | -1 | t^2.06 + t^2.56 + t^2.94 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.25 + t^4.44 + 2*t^4.62 + t^5. + t^5.12 + 2*t^5.31 + t^5.5 + 2*t^5.81 + t^5.88 - t^6. + 3*t^6.19 + t^6.31 + t^6.38 + 2*t^6.5 + t^6.56 + 3*t^6.69 + t^6.81 + t^6.88 + 2*t^7. + 2*t^7.06 + 2*t^7.19 + t^7.25 + 3*t^7.38 + 2*t^7.5 + 2*t^7.56 + 2*t^7.69 + t^7.75 + 3*t^7.88 + t^7.94 + t^8. - t^8.06 + t^8.19 + 3*t^8.25 + 2*t^8.38 + t^8.44 + t^8.5 + t^8.69 + 3*t^8.75 + t^8.81 + 2*t^8.88 - 3*t^8.94 - t^4.38/y - t^6.44/y + t^7.12/y - t^7.31/y + t^7.44/y + t^8./y + (3*t^8.31)/y + t^8.5/y + t^8.69/y + (3*t^8.81)/y - t^4.38*y - t^6.44*y + t^7.12*y - t^7.31*y + t^7.44*y + t^8.*y + 3*t^8.31*y + t^8.5*y + t^8.69*y + 3*t^8.81*y | g1^3*t^2.06 + t^2.56/g1^5 + g1^13*t^2.94 + (2*t^3.25)/g1^4 + g1^5*t^3.44 + g1^14*t^3.62 + t^3.75/g1^12 + t^3.94/g1^3 + 2*g1^6*t^4.12 + t^4.25/g1^20 + t^4.44/g1^11 + (2*t^4.62)/g1^2 + g1^16*t^5. + t^5.12/g1^10 + (2*t^5.31)/g1 + g1^8*t^5.5 + (2*t^5.81)/g1^9 + g1^26*t^5.88 - t^6. + 3*g1^9*t^6.19 + t^6.31/g1^17 + g1^18*t^6.38 + (2*t^6.5)/g1^8 + g1^27*t^6.56 + 3*g1*t^6.69 + t^6.81/g1^25 + g1^10*t^6.88 + (2*t^7.)/g1^16 + 2*g1^19*t^7.06 + (2*t^7.19)/g1^7 + g1^28*t^7.25 + 3*g1^2*t^7.38 + (2*t^7.5)/g1^24 + 2*g1^11*t^7.56 + (2*t^7.69)/g1^15 + g1^20*t^7.75 + (3*t^7.88)/g1^6 + g1^29*t^7.94 + t^8./g1^32 - g1^3*t^8.06 + t^8.19/g1^23 + 3*g1^12*t^8.25 + (2*t^8.38)/g1^14 + g1^21*t^8.44 + t^8.5/g1^40 + t^8.69/g1^31 + 3*g1^4*t^8.75 + g1^39*t^8.81 + (2*t^8.88)/g1^22 - 3*g1^13*t^8.94 - (g1^2*t^4.38)/y - (g1^5*t^6.44)/y + (g1^6*t^7.12)/y - (g1^15*t^7.31)/y + t^7.44/(g1^11*y) + (g1^16*t^8.)/y + (3*t^8.31)/(g1*y) + (g1^8*t^8.5)/y + (g1^17*t^8.69)/y + (3*t^8.81)/(g1^9*y) - g1^2*t^4.38*y - g1^5*t^6.44*y + g1^6*t^7.12*y - g1^15*t^7.31*y + (t^7.44*y)/g1^11 + g1^16*t^8.*y + (3*t^8.31*y)/g1 + g1^8*t^8.5*y + g1^17*t^8.69*y + (3*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 |
---|---|---|---|---|---|---|---|---|
2160 | $\phi_1q_1^2$ + $ 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}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.6545 | 0.8105 | 0.8076 | [X:[], M:[1.0294, 1.0679, 1.1651, 0.8349, 0.6991, 1.0679, 0.9706], q:[0.767, 0.5339], qb:[0.4367, 0.3982], phi:[0.4661]] | t^2.1 + t^2.5 + t^2.91 + 2*t^3.2 + t^3.5 + t^3.61 + t^3.79 + t^3.9 + t^4.02 + 2*t^4.19 + t^4.31 + 2*t^4.6 + 2*t^5.01 + 2*t^5.3 + t^5.42 + 2*t^5.71 + t^5.82 - t^6. - t^4.4/y - t^4.4*y | detail | |
2158 | $\phi_1q_1^2$ + $ 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}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_3M_7$ | 0.6672 | 0.8304 | 0.8034 | [X:[], M:[0.9946, 1.0786, 1.1518, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.7696, 0.5393], qb:[0.4661, 0.3821], phi:[0.4607]] | t^2.07 + 2*t^2.54 + t^2.98 + 2*t^3.24 + t^3.67 + t^3.71 + t^3.93 + 2*t^4.15 + t^4.18 + t^4.4 + 3*t^4.62 + t^5.06 + 3*t^5.09 + 2*t^5.31 + t^5.53 + 4*t^5.78 + t^5.97 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
2159 | $\phi_1q_1^2$ + $ 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}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ | 0.6748 | 0.848 | 0.7958 | [X:[], M:[0.9778, 1.0838, 1.1453, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.7709, 0.5419], qb:[0.4803, 0.3744], phi:[0.4581]] | 2*t^2.06 + t^2.56 + t^2.93 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + 4*t^4.12 + t^4.26 + t^4.44 + 3*t^4.63 + 2*t^4.99 + t^5.13 + 4*t^5.31 + 2*t^5.5 + t^5.68 + 3*t^5.82 + t^5.87 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
700 | 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}_1\tilde{q}_2$ | 0.662 | 0.821 | 0.8063 | [X:[], M:[0.9647, 1.0878, 1.1403, 0.8597, 0.6842], q:[0.7719, 0.5439], qb:[0.4914, 0.3683], phi:[0.4561]] | t^2.05 + t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + t^3.95 + 2*t^4.1 + t^4.32 + t^4.47 + 2*t^4.63 + t^4.79 + t^4.95 + t^5.16 + 2*t^5.32 + 2*t^5.47 + t^5.63 + t^5.79 + t^5.84 - t^4.37/y - t^4.37*y | detail |