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 |
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565 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6075 | 0.7997 | 0.7596 | [X:[], M:[0.9243, 1.2271, 0.7729, 0.6893], q:[0.7311, 0.3446], qb:[0.3446, 0.4283], phi:[0.5379]] | [X:[], M:[[4], [-12], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_1$, $ M_3$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ M_3\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 3 | 2*t^2.07 + 2*t^2.32 + t^2.77 + 2*t^3.23 + t^3.48 + 3*t^3.68 + t^3.93 + 3*t^4.14 + t^4.18 + 4*t^4.39 + 3*t^4.64 + 2*t^4.84 + 2*t^5.09 + 4*t^5.29 + 6*t^5.55 + 4*t^5.75 + 2*t^5.8 + 3*t^6. + 4*t^6.2 + 2*t^6.25 + 7*t^6.45 + 2*t^6.5 + 6*t^6.71 + 6*t^6.91 + 5*t^6.96 + 3*t^7.16 + 9*t^7.36 + 4*t^7.41 + 6*t^7.61 + t^7.66 + 5*t^7.82 + 8*t^7.86 + t^8.07 + 4*t^8.12 + 5*t^8.27 + 2*t^8.32 + t^8.37 + 8*t^8.52 + 3*t^8.57 + 6*t^8.77 + 3*t^8.82 + 7*t^8.98 - t^4.61/y - t^6.68/y + t^7.14/y + (4*t^7.39)/y + t^7.64/y + (2*t^7.84)/y + (2*t^8.09)/y + (4*t^8.29)/y + (7*t^8.55)/y + (5*t^8.75)/y + (2*t^8.8)/y - t^4.61*y - t^6.68*y + t^7.14*y + 4*t^7.39*y + t^7.64*y + 2*t^7.84*y + 2*t^8.09*y + 4*t^8.29*y + 7*t^8.55*y + 5*t^8.75*y + 2*t^8.8*y | (2*t^2.07)/g1^10 + 2*g1^12*t^2.32 + g1^4*t^2.77 + (2*t^3.23)/g1^4 + g1^18*t^3.48 + (3*t^3.68)/g1^12 + g1^10*t^3.93 + (3*t^4.14)/g1^20 + g1^32*t^4.18 + 4*g1^2*t^4.39 + 3*g1^24*t^4.64 + (2*t^4.84)/g1^6 + 2*g1^16*t^5.09 + (4*t^5.29)/g1^14 + 6*g1^8*t^5.55 + (4*t^5.75)/g1^22 + 2*g1^30*t^5.8 + 3*t^6. + (4*t^6.2)/g1^30 + 2*g1^22*t^6.25 + (7*t^6.45)/g1^8 + 2*g1^44*t^6.5 + 6*g1^14*t^6.71 + (6*t^6.91)/g1^16 + 5*g1^36*t^6.96 + 3*g1^6*t^7.16 + (9*t^7.36)/g1^24 + 4*g1^28*t^7.41 + (6*t^7.61)/g1^2 + g1^50*t^7.66 + (5*t^7.82)/g1^32 + 8*g1^20*t^7.86 + t^8.07/g1^10 + 4*g1^42*t^8.12 + (5*t^8.27)/g1^40 + 2*g1^12*t^8.32 + g1^64*t^8.37 + (8*t^8.52)/g1^18 + 3*g1^34*t^8.57 + 6*g1^4*t^8.77 + 3*g1^56*t^8.82 + (7*t^8.98)/g1^26 - t^4.61/(g1^2*y) - t^6.68/(g1^12*y) + t^7.14/(g1^20*y) + (4*g1^2*t^7.39)/y + (g1^24*t^7.64)/y + (2*t^7.84)/(g1^6*y) + (2*g1^16*t^8.09)/y + (4*t^8.29)/(g1^14*y) + (7*g1^8*t^8.55)/y + (5*t^8.75)/(g1^22*y) + (2*g1^30*t^8.8)/y - (t^4.61*y)/g1^2 - (t^6.68*y)/g1^12 + (t^7.14*y)/g1^20 + 4*g1^2*t^7.39*y + g1^24*t^7.64*y + (2*t^7.84*y)/g1^6 + 2*g1^16*t^8.09*y + (4*t^8.29*y)/g1^14 + 7*g1^8*t^8.55*y + (5*t^8.75*y)/g1^22 + 2*g1^30*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
877 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6282 | 0.8399 | 0.7479 | [X:[], M:[0.9249, 1.2252, 0.7748, 0.6877, 0.6877], q:[0.7312, 0.3438], qb:[0.3438, 0.4309], phi:[0.5375]] | 3*t^2.06 + 2*t^2.32 + t^2.77 + 2*t^3.23 + t^3.49 + 3*t^3.68 + 6*t^4.13 + t^4.2 + 6*t^4.39 + 3*t^4.65 + 3*t^4.84 + 2*t^5.1 + 6*t^5.29 + 7*t^5.55 + 7*t^5.74 + 2*t^5.81 + t^6. - t^4.61/y - t^4.61*y | detail | |
1911 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6223 | 0.8259 | 0.7535 | [X:[], M:[0.9307, 1.208, 0.792, 0.6733, 0.812], q:[0.7327, 0.3367], qb:[0.3367, 0.4554], phi:[0.5347]] | 2*t^2.02 + 2*t^2.38 + t^2.44 + t^2.79 + 2*t^3.21 + 3*t^3.62 + t^3.98 + 3*t^4.04 + t^4.34 + 4*t^4.4 + 2*t^4.46 + 3*t^4.75 + 4*t^4.81 + t^4.87 + 2*t^5.17 + 5*t^5.23 + 4*t^5.58 + 6*t^5.64 + 3*t^6. - t^4.6/y - t^4.6*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 |
---|---|---|---|---|---|---|---|---|---|
356 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_2M_3$ | 0.5868 | 0.7598 | 0.7723 | [X:[], M:[0.9236, 1.2293, 0.7707], q:[0.7309, 0.3455], qb:[0.3455, 0.4252], phi:[0.5382]] | t^2.07 + 2*t^2.31 + t^2.77 + 2*t^3.23 + t^3.47 + 3*t^3.69 + 2*t^3.93 + t^4.15 + t^4.17 + 2*t^4.39 + 3*t^4.62 + t^4.84 + 2*t^5.08 + 2*t^5.3 + 5*t^5.54 + t^5.76 + 2*t^5.78 + 3*t^6. - t^4.61/y - t^4.61*y | detail |