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 |
---|---|---|---|---|---|---|---|---|---|
4380 | 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$ + $ \phi_1q_1^2$ + $ M_6M_8$ | 0.6538 | 0.819 | 0.7983 | [X:[], M:[0.8755, 1.0361, 1.0523, 0.8032, 1.1245, 1.1968, 0.8755, 0.8032], q:[0.759, 0.3655], qb:[0.4377, 0.5099], phi:[0.4819]] | [X:[], M:[[14], [12], [-38], [-10], [-14], [10], [14], [-10]], q:[[3], [-17]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ M_8$, $ M_1$, $ M_7$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_1q_2$, $ M_1M_4$, $ M_4M_7$, $ M_1M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_8$, $ M_3M_4$, $ M_3M_8$, $ M_1M_2$, $ M_2M_7$ | . | -3 | 2*t^2.41 + 2*t^2.63 + t^3.11 + t^3.16 + t^3.64 + t^3.81 + t^3.86 + 2*t^4.07 + t^4.29 + t^4.51 + 3*t^4.82 + 4*t^5.04 + 3*t^5.25 + 2*t^5.52 + t^5.57 + 2*t^5.73 - 3*t^6. + 2*t^6.05 + 4*t^6.27 + t^6.31 + t^6.43 + 4*t^6.48 + 4*t^6.7 - t^6.75 + t^6.8 + 4*t^6.92 + 2*t^7.13 - t^7.18 + 3*t^7.23 + t^7.28 + 4*t^7.45 + t^7.49 + t^7.61 + 4*t^7.66 + 2*t^7.71 + 3*t^7.88 + 4*t^7.93 + t^7.98 + 6*t^8.14 - 2*t^8.19 + t^8.31 + 4*t^8.36 - 7*t^8.41 + 3*t^8.46 + 2*t^8.58 - 7*t^8.63 + 6*t^8.68 + t^8.72 + t^8.79 - 2*t^8.84 + 7*t^8.89 + t^8.94 - t^4.45/y - t^6.86/y - t^7.07/y + t^7.29/y - t^7.6/y + (2*t^7.82)/y + (5*t^8.04)/y + t^8.25/y + (2*t^8.52)/y + (2*t^8.57)/y + (2*t^8.73)/y + (2*t^8.78)/y - t^4.45*y - t^6.86*y - t^7.07*y + t^7.29*y - t^7.6*y + 2*t^7.82*y + 5*t^8.04*y + t^8.25*y + 2*t^8.52*y + 2*t^8.57*y + 2*t^8.73*y + 2*t^8.78*y | (2*t^2.41)/g1^10 + 2*g1^14*t^2.63 + g1^12*t^3.11 + t^3.16/g1^38 + t^3.64/g1^40 + g1^34*t^3.81 + t^3.86/g1^16 + 2*g1^8*t^4.07 + g1^32*t^4.29 + g1^56*t^4.51 + (3*t^4.82)/g1^20 + 4*g1^4*t^5.04 + 3*g1^28*t^5.25 + 2*g1^2*t^5.52 + t^5.57/g1^48 + 2*g1^26*t^5.73 - 3*t^6. + (2*t^6.05)/g1^50 + (4*t^6.27)/g1^26 + t^6.31/g1^76 + g1^48*t^6.43 + (4*t^6.48)/g1^2 + 4*g1^22*t^6.7 - t^6.75/g1^28 + t^6.8/g1^78 + 4*g1^46*t^6.92 + 2*g1^70*t^7.13 - g1^20*t^7.18 + (3*t^7.23)/g1^30 + t^7.28/g1^80 + (4*t^7.45)/g1^6 + t^7.49/g1^56 + g1^68*t^7.61 + 4*g1^18*t^7.66 + (2*t^7.71)/g1^32 + 3*g1^42*t^7.88 + (4*t^7.93)/g1^8 + t^7.98/g1^58 + 6*g1^16*t^8.14 - (2*t^8.19)/g1^34 + g1^90*t^8.31 + 4*g1^40*t^8.36 - (7*t^8.41)/g1^10 + (3*t^8.46)/g1^60 + 2*g1^64*t^8.58 - 7*g1^14*t^8.63 + (6*t^8.68)/g1^36 + t^8.72/g1^86 + g1^88*t^8.79 - 2*g1^38*t^8.84 + (7*t^8.89)/g1^12 + t^8.94/g1^62 - t^4.45/(g1^6*y) - t^6.86/(g1^16*y) - (g1^8*t^7.07)/y + (g1^32*t^7.29)/y - t^7.6/(g1^44*y) + (2*t^7.82)/(g1^20*y) + (5*g1^4*t^8.04)/y + (g1^28*t^8.25)/y + (2*g1^2*t^8.52)/y + (2*t^8.57)/(g1^48*y) + (2*g1^26*t^8.73)/y + (2*t^8.78)/(g1^24*y) - (t^4.45*y)/g1^6 - (t^6.86*y)/g1^16 - g1^8*t^7.07*y + g1^32*t^7.29*y - (t^7.6*y)/g1^44 + (2*t^7.82*y)/g1^20 + 5*g1^4*t^8.04*y + g1^28*t^8.25*y + 2*g1^2*t^8.52*y + (2*t^8.57*y)/g1^48 + 2*g1^26*t^8.73*y + (2*t^8.78*y)/g1^24 |
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 |
---|---|---|---|---|---|---|---|---|
5851 | $M_1q_1q_2$ + $ 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$ + $ M_6M_8$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.6741 | 0.8573 | 0.7863 | [X:[], M:[0.8732, 1.0341, 1.0585, 0.8049, 1.1268, 1.1951, 0.8732, 0.8049, 0.7122], q:[0.7585, 0.3683], qb:[0.4366, 0.5049], phi:[0.4829]] | t^2.14 + 2*t^2.41 + 2*t^2.62 + t^3.1 + t^3.18 + t^3.66 + t^3.79 + 2*t^4.07 + 2*t^4.27 + t^4.48 + 2*t^4.55 + 2*t^4.76 + 3*t^4.83 + 4*t^5.03 + 4*t^5.24 + t^5.31 + 2*t^5.52 + t^5.59 + 2*t^5.72 + t^5.8 + t^5.93 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
5849 | $M_1q_1q_2$ + $ 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$ + $ M_6M_8$ + $ M_9\phi_1q_2^2$ | 0.6719 | 0.8526 | 0.788 | [X:[], M:[0.8649, 1.0271, 1.0809, 0.8108, 1.1351, 1.1892, 0.8649, 0.8108, 0.757], q:[0.7568, 0.3783], qb:[0.4325, 0.4867], phi:[0.4865]] | t^2.27 + 2*t^2.43 + 2*t^2.59 + t^3.08 + t^3.24 + t^3.73 + t^3.89 + 2*t^4.05 + t^4.22 + t^4.38 + t^4.54 + 2*t^4.7 + 3*t^4.86 + 2*t^4.87 + 4*t^5.03 + 3*t^5.19 + t^5.35 + 3*t^5.51 + t^5.67 + 2*t^5.68 - 2*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
2375 | 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$ + $ \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 |