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 |
---|---|---|---|---|---|---|---|---|---|
3505 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ | 0.6327 | 0.8239 | 0.768 | [X:[], M:[0.9706, 1.0881, 1.0294, 0.9119, 0.772, 0.8307, 0.9119], q:[0.7427, 0.2867], qb:[0.4266, 0.4853], phi:[0.5147]] | [X:[], M:[[4], [-12], [-4], [12], [-3], [-11], [12]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_6$, $ M_4$, $ M_7$, $ M_3$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ M_6q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_6^2$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_4M_6$, $ M_6M_7$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_3M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$ | $M_5q_1\tilde{q}_2$ | -1 | t^2.14 + 2*t^2.32 + t^2.49 + 2*t^2.74 + 2*t^3.09 + t^3.68 + t^3.86 + t^4.1 + 2*t^4.28 + 3*t^4.46 + 4*t^4.63 + 2*t^4.81 + 2*t^4.88 + t^4.98 + 4*t^5.05 + 4*t^5.23 + 3*t^5.4 + 3*t^5.47 + t^5.58 + 3*t^5.82 - t^6. + 3*t^6.18 + t^6.24 + t^6.35 + 4*t^6.42 + 4*t^6.6 + 5*t^6.77 + 2*t^6.84 + 6*t^6.95 + 3*t^7.02 + 3*t^7.12 + 6*t^7.19 + 2*t^7.3 + 7*t^7.37 + t^7.48 + 5*t^7.54 + 3*t^7.61 + 6*t^7.72 + 6*t^7.79 + t^7.9 + 4*t^7.96 + t^8.07 + 5*t^8.21 - t^8.32 + 2*t^8.38 + 7*t^8.56 + t^8.67 + t^8.84 + 5*t^8.91 + 2*t^8.98 - t^4.54/y - t^6.86/y - t^7.04/y - t^7.28/y + (3*t^7.46)/y + t^7.63/y + (3*t^7.81)/y + (2*t^7.88)/y + (5*t^8.05)/y + (5*t^8.23)/y + (4*t^8.4)/y + t^8.47/y + (2*t^8.58)/y + (5*t^8.82)/y - t^4.54*y - t^6.86*y - t^7.04*y - t^7.28*y + 3*t^7.46*y + t^7.63*y + 3*t^7.81*y + 2*t^7.88*y + 5*t^8.05*y + 5*t^8.23*y + 4*t^8.4*y + t^8.47*y + 2*t^8.58*y + 5*t^8.82*y | g1^5*t^2.14 + (2*t^2.32)/g1^3 + t^2.49/g1^11 + 2*g1^12*t^2.74 + (2*t^3.09)/g1^4 + g1^3*t^3.68 + t^3.86/g1^5 + g1^18*t^4.1 + 2*g1^10*t^4.28 + 3*g1^2*t^4.46 + (4*t^4.63)/g1^6 + (2*t^4.81)/g1^14 + 2*g1^17*t^4.88 + t^4.98/g1^22 + 4*g1^9*t^5.05 + 4*g1*t^5.23 + (3*t^5.4)/g1^7 + 3*g1^24*t^5.47 + t^5.58/g1^15 + 3*g1^8*t^5.82 - t^6. + (3*t^6.18)/g1^8 + g1^23*t^6.24 + t^6.35/g1^16 + 4*g1^15*t^6.42 + 4*g1^7*t^6.6 + (5*t^6.77)/g1 + 2*g1^30*t^6.84 + (6*t^6.95)/g1^9 + 3*g1^22*t^7.02 + (3*t^7.12)/g1^17 + 6*g1^14*t^7.19 + (2*t^7.3)/g1^25 + 7*g1^6*t^7.37 + t^7.48/g1^33 + (5*t^7.54)/g1^2 + 3*g1^29*t^7.61 + (6*t^7.72)/g1^10 + 6*g1^21*t^7.79 + t^7.9/g1^18 + 4*g1^13*t^7.96 + t^8.07/g1^26 + 5*g1^36*t^8.21 - t^8.32/g1^3 + 2*g1^28*t^8.38 + 7*g1^20*t^8.56 + t^8.67/g1^19 + t^8.84/g1^27 + 5*g1^4*t^8.91 + 2*g1^35*t^8.98 - t^4.54/(g1^2*y) - t^6.86/(g1^5*y) - t^7.04/(g1^13*y) - (g1^10*t^7.28)/y + (3*g1^2*t^7.46)/y + t^7.63/(g1^6*y) + (3*t^7.81)/(g1^14*y) + (2*g1^17*t^7.88)/y + (5*g1^9*t^8.05)/y + (5*g1*t^8.23)/y + (4*t^8.4)/(g1^7*y) + (g1^24*t^8.47)/y + (2*t^8.58)/(g1^15*y) + (5*g1^8*t^8.82)/y - (t^4.54*y)/g1^2 - (t^6.86*y)/g1^5 - (t^7.04*y)/g1^13 - g1^10*t^7.28*y + 3*g1^2*t^7.46*y + (t^7.63*y)/g1^6 + (3*t^7.81*y)/g1^14 + 2*g1^17*t^7.88*y + 5*g1^9*t^8.05*y + 5*g1*t^8.23*y + (4*t^8.4*y)/g1^7 + g1^24*t^8.47*y + (2*t^8.58*y)/g1^15 + 5*g1^8*t^8.82*y |
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 |
---|---|---|---|---|---|---|---|---|
5195 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.6508 | 0.8561 | 0.7602 | [X:[], M:[0.9724, 1.0827, 1.0276, 0.9173, 0.7707, 0.8258, 0.9173, 0.7707], q:[0.7431, 0.2845], qb:[0.4311, 0.4862], phi:[0.5138]] | t^2.15 + 3*t^2.31 + t^2.48 + 2*t^2.75 + 2*t^3.08 + t^3.85 + t^4.13 + 2*t^4.29 + 4*t^4.46 + 7*t^4.62 + 3*t^4.79 + 2*t^4.9 + t^4.95 + 6*t^5.06 + 4*t^5.23 + 5*t^5.39 + 3*t^5.5 + t^5.56 + 2*t^5.83 - 3*t^6. - t^4.54/y - t^4.54*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 |
---|---|---|---|---|---|---|---|---|---|
2918 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ q_1q_2\tilde{q}_2^2$ | 0.6264 | 0.8129 | 0.7706 | [X:[], M:[0.9842, 1.0474, 1.0158, 0.9526, 0.7618, 0.7934], q:[0.7461, 0.2697], qb:[0.4605, 0.4921], phi:[0.5079]] | t^2.19 + 2*t^2.29 + t^2.38 + t^2.86 + 2*t^3.05 + t^3.14 + t^3.71 + t^3.81 + t^4.29 + 2*t^4.38 + 3*t^4.48 + 4*t^4.57 + 2*t^4.67 + t^4.76 + t^5.05 + 2*t^5.14 + 3*t^5.24 + 4*t^5.33 + 3*t^5.43 + t^5.52 + t^5.72 + t^5.91 - t^4.52/y - t^4.52*y | detail |