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 |
---|---|---|---|---|---|---|---|---|---|
1332 | 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_1M_5$ + $ M_5M_7$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[1.0244, 1.0244, 0.9267, 0.9756, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5122, 0.5611], phi:[0.4878]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [12, -4], [-8, 0], [-12, 4], [8, 0]], q:[[-16, 4], [8, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_1$, $ M_7$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_2M_3$ | $M_1M_4$, $ M_2M_4$, $ M_4M_7$ | -1 | t^2.78 + t^2.93 + 4*t^3.07 + t^3.22 + t^4.24 + 2*t^4.39 + 4*t^4.54 + 2*t^4.68 + t^4.83 + t^5.56 + t^5.85 - t^6. + 6*t^6.15 + 3*t^6.29 + t^6.44 + t^7.02 + 2*t^7.17 + 4*t^7.32 + 4*t^7.46 + 8*t^7.61 + 6*t^7.76 + 4*t^7.9 + t^8.05 + t^8.34 + t^8.49 + 3*t^8.63 - t^8.78 - t^8.93 - t^4.46/y - t^7.24/y + t^7.39/y - t^7.54/y + t^7.68/y + t^8.71/y + (4*t^8.85)/y - t^4.46*y - t^7.24*y + t^7.39*y - t^7.54*y + t^7.68*y + t^8.71*y + 4*t^8.85*y | t^2.78/(g1^4*g2^4) + (g1^12*t^2.93)/g2^4 + 2*g1^8*t^3.07 + (g2^2*t^3.07)/g1^2 + (g2^4*t^3.07)/g1^12 + (g2^8*t^3.22)/g1^16 + (g1^17*t^4.24)/g2^9 + (g1^13*t^4.39)/g2^5 + t^4.39/(g1^7*g2) + (2*g1^9*t^4.54)/g2 + (g2^3*t^4.54)/g1^11 + (g2^7*t^4.54)/g1^31 + g1^5*g2^3*t^4.68 + (g2^7*t^4.68)/g1^15 + g1*g2^7*t^4.83 + t^5.56/(g1^8*g2^8) + t^5.85/(g1^6*g2^2) - 3*t^6. + (g1^20*t^6.)/g2^4 + (g1^10*t^6.)/g2^2 + 2*g1^16*t^6.15 + 2*g1^6*g2^2*t^6.15 + (g2^4*t^6.15)/g1^4 + (g2^6*t^6.15)/g1^14 + (g2^8*t^6.29)/g1^8 + (g2^10*t^6.29)/g1^18 + (g2^12*t^6.29)/g1^28 + (g2^16*t^6.44)/g1^32 + (g1^13*t^7.02)/g2^13 + (g1^29*t^7.17)/g2^13 + t^7.17/(g1^11*g2^5) + (2*g1^25*t^7.32)/g2^9 + (g1^5*t^7.32)/g2^5 + (g2^3*t^7.32)/g1^35 + (2*g1^21*t^7.46)/g2^5 + (g1*t^7.46)/g2 + (g2^3*t^7.46)/g1^19 + (3*g1^17*t^7.61)/g2 + (2*g2^3*t^7.61)/g1^3 + (2*g2^7*t^7.61)/g1^23 + (g2^11*t^7.61)/g1^43 + 2*g1^13*g2^3*t^7.76 + (2*g2^7*t^7.76)/g1^7 + (g2^11*t^7.76)/g1^27 + (g2^15*t^7.76)/g1^47 + 2*g1^9*g2^7*t^7.9 + (g2^11*t^7.9)/g1^11 + (g2^15*t^7.9)/g1^31 + (g2^15*t^8.05)/g1^15 + t^8.34/(g1^12*g2^12) + (g1^34*t^8.49)/g2^18 + (g1^30*t^8.63)/g2^14 - (g1^20*t^8.63)/g2^12 + (g1^10*t^8.63)/g2^10 + t^8.63/g2^8 + t^8.63/(g1^10*g2^6) + (2*g1^26*t^8.78)/g2^10 - (2*g1^16*t^8.78)/g2^8 + (g1^6*t^8.78)/g2^6 - (3*t^8.78)/(g1^4*g2^4) + t^8.78/(g1^14*g2^2) - (2*t^8.93)/g1^8 + (2*g1^22*t^8.93)/g2^6 - (4*g1^12*t^8.93)/g2^4 + (2*g1^2*t^8.93)/g2^2 + (g2^2*t^8.93)/g1^18 - (g2^4*t^8.93)/g1^28 + (g2^6*t^8.93)/g1^38 - (g1*t^4.46)/(g2*y) - t^7.24/(g1^3*g2^5*y) + t^7.39/(g1^7*g2*y) - (g1^9*t^7.54)/(g2*y) + (g1^5*g2^3*t^7.68)/y + (g1^8*t^8.71)/(g2^8*y) + t^8.85/(g1^16*y) + (2*g1^4*t^8.85)/(g2^4*y) + t^8.85/(g1^6*g2^2*y) - (g1*t^4.46*y)/g2 - (t^7.24*y)/(g1^3*g2^5) + (t^7.39*y)/(g1^7*g2) - (g1^9*t^7.54*y)/g2 + g1^5*g2^3*t^7.68*y + (g1^8*t^8.71*y)/g2^8 + (t^8.85*y)/g1^16 + (2*g1^4*t^8.85*y)/g2^4 + (t^8.85*y)/(g1^6*g2^2) |
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 |
---|---|---|---|---|---|---|---|---|
2375 | $M_1q_1q_2$ + $ 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_1M_5$ + $ M_5M_7$ + $ \phi_1q_1^2$ | 0.6376 | 0.7908 | 0.8063 | [X:[], M:[0.8717, 1.0329, 1.0624, 0.8059, 1.1283, 1.1941, 0.8717], q:[0.7582, 0.37], qb:[0.4359, 0.5017], phi:[0.4835]] | t^2.42 + 2*t^2.62 + t^3.1 + t^3.19 + t^3.58 + t^3.67 + t^3.78 + t^3.87 + 2*t^4.07 + t^4.26 + t^4.46 + t^4.84 + 2*t^5.03 + 3*t^5.23 + t^5.52 + 2*t^5.71 - 2*t^6. - t^4.45/y - t^4.45*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 |
---|---|---|---|---|---|---|---|---|---|
837 | 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_1M_5$ | 0.6995 | 0.856 | 0.8172 | [X:[], M:[1.0482, 1.0302, 0.8913, 0.9877, 0.9518, 1.0123], q:[0.4881, 0.4636], qb:[0.5241, 0.5846], phi:[0.4849]] | t^2.67 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.24 + t^4.31 + t^4.38 + t^4.42 + t^4.49 + 2*t^4.6 + t^4.67 + t^4.78 + t^4.96 + t^5.35 + t^5.53 + t^5.71 + t^5.76 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |