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 |
---|---|---|---|---|---|---|---|---|---|
55180 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ | 0.6694 | 0.8449 | 0.7923 | [X:[], M:[1.1542, 0.7313, 0.8458, 0.8076, 0.8458, 0.7313], q:[0.4038, 0.442], qb:[0.8649, 0.7504], phi:[0.3847]] | [X:[], M:[[12], [18], [-12], [-2], [-12], [18]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_6$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_5$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_4M_6$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ M_3M_6$, $ M_5M_6$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_6\phi_1q_1q_2$ | $\phi_1^3q_1q_2$ | -1 | 2*t^2.19 + t^2.31 + t^2.42 + 2*t^2.54 + t^3.58 + t^3.69 + t^3.92 + 3*t^4.39 + 2*t^4.5 + 3*t^4.62 + 5*t^4.73 + 4*t^4.85 + 2*t^4.96 + 3*t^5.07 + t^5.77 + t^5.89 - t^6. + 3*t^6.11 + 2*t^6.23 + t^6.34 + 2*t^6.46 + 4*t^6.58 + 3*t^6.7 + 5*t^6.81 + 8*t^6.93 + 7*t^7.04 + 6*t^7.15 + 7*t^7.27 + 4*t^7.38 + 2*t^7.5 + 4*t^7.61 + t^7.84 + t^7.96 - 4*t^8.19 - 2*t^8.42 - 2*t^8.54 + 3*t^8.65 + 4*t^8.77 + 5*t^8.78 + 2*t^8.88 + 4*t^8.89 - t^4.15/y - (2*t^6.35)/y - t^6.46/y - t^6.58/y - t^6.69/y + t^7.39/y + (2*t^7.5)/y + (3*t^7.62)/y + (6*t^7.73)/y + (3*t^7.85)/y + (4*t^7.96)/y + t^8.07/y - (3*t^8.54)/y - (2*t^8.66)/y - t^8.77/y - t^4.15*y - 2*t^6.35*y - t^6.46*y - t^6.58*y - t^6.69*y + t^7.39*y + 2*t^7.5*y + 3*t^7.62*y + 6*t^7.73*y + 3*t^7.85*y + 4*t^7.96*y + t^8.07*y - 3*t^8.54*y - 2*t^8.66*y - t^8.77*y | 2*g1^18*t^2.19 + g1^8*t^2.31 + t^2.42/g1^2 + (2*t^2.54)/g1^12 + g1^2*t^3.58 + t^3.69/g1^8 + t^3.92/g1^28 + 3*g1^36*t^4.39 + 2*g1^26*t^4.5 + 3*g1^16*t^4.62 + 5*g1^6*t^4.73 + (4*t^4.85)/g1^4 + (2*t^4.96)/g1^14 + (3*t^5.07)/g1^24 + g1^20*t^5.77 + g1^10*t^5.89 - t^6. + (3*t^6.11)/g1^10 + (2*t^6.23)/g1^20 + t^6.34/g1^30 + (2*t^6.46)/g1^40 + 4*g1^54*t^6.58 + 3*g1^44*t^6.7 + 5*g1^34*t^6.81 + 8*g1^24*t^6.93 + 7*g1^14*t^7.04 + 6*g1^4*t^7.15 + (7*t^7.27)/g1^6 + (4*t^7.38)/g1^16 + (2*t^7.5)/g1^26 + (4*t^7.61)/g1^36 + t^7.84/g1^56 + g1^38*t^7.96 - 4*g1^18*t^8.19 - (2*t^8.42)/g1^2 - (2*t^8.54)/g1^12 + (3*t^8.65)/g1^22 + (4*t^8.77)/g1^32 + 5*g1^72*t^8.78 + (2*t^8.88)/g1^42 + 4*g1^62*t^8.89 - (g1^4*t^4.15)/y - (2*g1^22*t^6.35)/y - (g1^12*t^6.46)/y - (g1^2*t^6.58)/y - t^6.69/(g1^8*y) + (g1^36*t^7.39)/y + (2*g1^26*t^7.5)/y + (3*g1^16*t^7.62)/y + (6*g1^6*t^7.73)/y + (3*t^7.85)/(g1^4*y) + (4*t^7.96)/(g1^14*y) + t^8.07/(g1^24*y) - (3*g1^40*t^8.54)/y - (2*g1^30*t^8.66)/y - (g1^20*t^8.77)/y - g1^4*t^4.15*y - 2*g1^22*t^6.35*y - g1^12*t^6.46*y - g1^2*t^6.58*y - (t^6.69*y)/g1^8 + g1^36*t^7.39*y + 2*g1^26*t^7.5*y + 3*g1^16*t^7.62*y + 6*g1^6*t^7.73*y + (3*t^7.85*y)/g1^4 + (4*t^7.96*y)/g1^14 + (t^8.07*y)/g1^24 - 3*g1^40*t^8.54*y - 2*g1^30*t^8.66*y - g1^20*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
56839 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7\phi_1q_1q_2$ | 0.6877 | 0.8778 | 0.7834 | [X:[], M:[1.149, 0.7236, 0.851, 0.8085, 0.851, 0.7236, 0.766], q:[0.4042, 0.4467], qb:[0.8722, 0.7448], phi:[0.383]] | 2*t^2.17 + 2*t^2.3 + t^2.43 + 2*t^2.55 + t^3.57 + t^3.96 + 3*t^4.34 + 4*t^4.47 + 5*t^4.6 + 6*t^4.72 + 6*t^4.85 + 2*t^4.98 + 3*t^5.11 + t^5.75 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
56840 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ + $ M_7q_2\tilde{q}_1$ | 0.6901 | 0.8854 | 0.7795 | [X:[], M:[1.1505, 0.7257, 0.8495, 0.8083, 0.8495, 0.7257, 0.6845], q:[0.4041, 0.4454], qb:[0.8701, 0.7464], phi:[0.3835]] | t^2.05 + 2*t^2.18 + t^2.3 + t^2.42 + 2*t^2.55 + t^3.58 + t^3.7 + t^4.11 + 2*t^4.23 + 4*t^4.35 + 3*t^4.48 + 5*t^4.6 + 5*t^4.73 + 4*t^4.85 + 2*t^4.97 + 3*t^5.1 + t^5.63 + 2*t^5.75 + t^5.88 - t^6. - t^4.15/y - t^4.15*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 |
---|---|---|---|---|---|---|---|---|---|
47037 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_4\phi_1q_1^2$ | 0.6499 | 0.8094 | 0.803 | [X:[], M:[1.1637, 0.7456, 0.8363, 0.806, 0.8363], q:[0.403, 0.4332], qb:[0.8514, 0.7607], phi:[0.3879]] | t^2.24 + t^2.33 + t^2.42 + 2*t^2.51 + t^3.58 + t^3.67 + t^3.76 + t^3.85 + t^4.47 + t^4.56 + 2*t^4.65 + 3*t^4.75 + 4*t^4.84 + 2*t^4.93 + 3*t^5.02 - t^4.16/y - t^4.16*y | detail |