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 |
---|---|---|---|---|---|---|---|---|---|
1328 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[0.9281, 1.0245, 1.0229, 0.9739, 0.9771, 1.0261, 1.0229], q:[0.5621, 0.5098], qb:[0.4641, 0.5131], phi:[0.4878]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [-4, -4]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_4$, $ M_3$, $ M_7$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_4M_7$ | $M_2M_4$ | -2 | t^2.78 + t^2.92 + 3*t^3.07 + t^3.08 + t^3.23 + t^4.25 + t^4.38 + t^4.39 + t^4.52 + t^4.53 + 2*t^4.54 + t^4.68 + t^4.69 + t^4.84 + t^5.57 + t^5.86 + t^5.99 - 2*t^6. + 4*t^6.14 + 2*t^6.15 + t^6.29 + 2*t^6.3 + t^6.45 + t^7.03 + t^7.17 + t^7.18 + t^7.31 + t^7.32 + 2*t^7.33 + t^7.44 + t^7.45 + t^7.46 + t^7.47 + 2*t^7.59 + 2*t^7.6 + 2*t^7.61 + 2*t^7.62 + 2*t^7.75 + 2*t^7.76 + 2*t^7.77 + 2*t^7.9 + 2*t^7.91 + t^8.06 + t^8.35 + t^8.5 + t^8.63 + 2*t^8.64 - t^8.76 + t^8.77 - 3*t^8.78 + 2*t^8.79 - 2*t^8.92 - t^8.93 + 2*t^8.94 - t^4.46/y - t^7.25/y + t^7.39/y - t^7.53/y + t^7.68/y + t^8.71/y + (2*t^8.85)/y + (2*t^8.86)/y + (2*t^8.99)/y - t^4.46*y - t^7.25*y + t^7.39*y - t^7.53*y + t^7.68*y + t^8.71*y + 2*t^8.85*y + 2*t^8.86*y + 2*t^8.99*y | g1^8*t^2.78 + t^2.92/g2^8 + (2*t^3.07)/(g1^4*g2^4) + (g2^2*t^3.07)/g1^2 + g2^8*t^3.08 + (g2^12*t^3.23)/g1^4 + (g1^9*t^4.25)/g2 + (g1*t^4.38)/g2^9 + g1^5*g2^3*t^4.39 + t^4.52/(g1^7*g2^17) + t^4.53/(g1^3*g2^5) + 2*g1*g2^7*t^4.54 + t^4.68/(g1^7*g2) + (g2^11*t^4.69)/g1^3 + (g2^15*t^4.84)/g1^7 + g1^16*t^5.57 + g1^6*g2^2*t^5.86 + t^5.99/(g1^4*g2^12) - 3*t^6. + t^6./(g1^2*g2^6) + (2*t^6.14)/(g1^8*g2^8) + (2*t^6.14)/(g1^6*g2^2) + (g2^4*t^6.15)/g1^4 + (g2^10*t^6.15)/g1^2 + (g2^8*t^6.29)/g1^8 + (g2^14*t^6.3)/g1^6 + (g2^20*t^6.3)/g1^4 + (g2^24*t^6.45)/g1^8 + (g1^17*t^7.03)/g2 + (g1^9*t^7.17)/g2^9 + g1^13*g2^3*t^7.18 + (g1*t^7.31)/g2^17 + (g1^5*t^7.32)/g2^5 + 2*g1^9*g2^7*t^7.33 + t^7.44/(g1^7*g2^25) + t^7.45/(g1^3*g2^13) + (g1*t^7.46)/g2 + g1^5*g2^11*t^7.47 + (2*t^7.59)/(g1^11*g2^21) + (2*t^7.6)/(g1^7*g2^9) + (2*g2^3*t^7.61)/g1^3 + 2*g1*g2^15*t^7.62 + (2*t^7.75)/(g1^11*g2^5) + (2*g2^7*t^7.76)/g1^7 + (2*g2^19*t^7.77)/g1^3 + (2*g2^11*t^7.9)/g1^11 + (2*g2^23*t^7.91)/g1^7 + (g2^27*t^8.06)/g1^11 + g1^24*t^8.35 + (g1^18*t^8.5)/g2^2 + (g1^10*t^8.63)/g2^10 + 2*g1^14*g2^2*t^8.64 - t^8.76/g2^24 + t^8.77/g2^24 + (g1^2*t^8.77)/g2^18 - (g1^4*t^8.77)/g2^12 - 4*g1^8*t^8.78 + (g1^6*t^8.78)/g2^6 + 2*g1^10*g2^6*t^8.79 + t^8.91/(g1^6*g2^26) - t^8.91/(g1^4*g2^20) + t^8.92/(g1^2*g2^14) - (3*t^8.92)/g2^8 + (2*g1^2*t^8.93)/g2^2 - 3*g1^4*g2^4*t^8.93 + 2*g1^6*g2^10*t^8.94 - (g1*t^4.46)/(g2*y) - (g1^9*t^7.25)/(g2*y) + (g1^5*g2^3*t^7.39)/y - t^7.53/(g1^3*g2^5*y) + t^7.68/(g1^7*g2*y) + (g1^8*t^8.71)/(g2^8*y) + (2*g1^4*t^8.85)/(g2^4*y) + (g1^6*g2^2*t^8.86)/y + (g1^8*g2^8*t^8.86)/y + (2*t^8.99)/(g1^4*g2^12*y) - (g1*t^4.46*y)/g2 - (g1^9*t^7.25*y)/g2 + g1^5*g2^3*t^7.39*y - (t^7.53*y)/(g1^3*g2^5) + (t^7.68*y)/(g1^7*g2) + (g1^8*t^8.71*y)/g2^8 + (2*g1^4*t^8.85*y)/g2^4 + g1^6*g2^2*t^8.86*y + g1^8*g2^8*t^8.86*y + (2*t^8.99*y)/(g1^4*g2^12) |
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 |
---|---|---|---|---|---|---|---|---|
2380 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5702 | 0.713 | 0.7996 | [X:[], M:[0.7158, 1.1426, 0.999, 0.7139, 1.001, 1.2861, 0.999], q:[0.9282, 0.356], qb:[0.3579, 0.6431], phi:[0.4287]] | t^2.14 + t^2.15 + 2*t^3. + t^3.42 + 3*t^3.43 + t^3.86 + t^4.28 + 2*t^4.29 + t^4.71 + 4*t^5.14 + t^5.56 + 2*t^5.57 + 3*t^5.58 + 2*t^5.99 - 2*t^6. - t^4.29/y - t^4.29*y | detail | |
2381 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6522 | 0.7994 | 0.8159 | [X:[], M:[0.7755, 1.0966, 1.0313, 0.8381, 0.9687, 1.1619, 1.0313], q:[0.7741, 0.4503], qb:[0.3878, 0.581], phi:[0.4517]] | t^2.33 + t^2.51 + 2*t^3.09 + t^3.29 + t^3.49 + t^3.68 + t^3.87 + t^4.06 + t^4.07 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + t^5.03 + t^5.42 + t^5.61 + t^5.62 + t^5.8 - 2*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
836 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ | 0.6993 | 0.8557 | 0.8173 | [X:[], M:[0.8954, 1.0294, 1.0457, 0.9868, 0.9543, 1.0132], q:[0.5655, 0.5391], qb:[0.4477, 0.5066], phi:[0.4853]] | t^2.69 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.14 + t^4.32 + t^4.42 + 2*t^4.5 + t^4.59 + t^4.67 + t^4.69 + t^4.77 + t^4.85 + t^5.37 + t^5.55 + t^5.73 + t^5.77 + t^5.9 + t^5.95 - 2*t^6. - t^4.46/y - t^4.46*y | detail |