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 |
---|---|---|---|---|---|---|---|---|---|
2937 | 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_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6409 | 0.8448 | 0.7587 | [X:[], M:[0.9475, 1.1574, 0.9475, 0.7377, 0.7361, 0.8426], q:[0.7369, 0.3156], qb:[0.4205, 0.4221], phi:[0.5262]] | [X:[], M:[[4], [-12], [4], [20], [-18], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_6$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_4M_6$, $ M_6q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_6\phi_1q_2^2$, $ M_6q_1\tilde{q}_2$ | -3 | 4*t^2.21 + t^2.53 + 2*t^2.84 + 2*t^3.47 + t^3.48 + t^4.1 + 2*t^4.11 + 7*t^4.42 + 3*t^4.43 + 4*t^4.74 + 4*t^5.05 + 5*t^5.06 + 2*t^5.37 + 3*t^5.68 + 9*t^5.69 - 3*t^6. + 6*t^6.31 + 6*t^6.32 + 4*t^6.62 + 10*t^6.63 + 5*t^6.64 + 5*t^6.94 + 10*t^6.95 + 10*t^7.26 + 7*t^7.27 + 7*t^7.58 + t^7.59 + 12*t^7.89 + 14*t^7.9 - t^8.2 - 8*t^8.21 + 2*t^8.22 + 7*t^8.52 + 15*t^8.53 + 3*t^8.54 + 5*t^8.83 + 2*t^8.84 + 13*t^8.85 - t^4.58/y - (2*t^6.79)/y + (4*t^7.42)/y + t^7.43/y + (5*t^7.74)/y + (4*t^8.05)/y + (4*t^8.06)/y + (4*t^8.37)/y + (4*t^8.68)/y + (9*t^8.69)/y - t^4.58*y - 2*t^6.79*y + 4*t^7.42*y + t^7.43*y + 5*t^7.74*y + 4*t^8.05*y + 4*t^8.06*y + 4*t^8.37*y + 4*t^8.68*y + 9*t^8.69*y | (2*t^2.21)/g1^18 + 2*g1^20*t^2.21 + g1^12*t^2.53 + 2*g1^4*t^2.84 + (2*t^3.47)/g1^12 + g1^26*t^3.48 + t^4.1/g1^28 + g1^10*t^4.11 + g1^48*t^4.11 + (3*t^4.42)/g1^36 + 4*g1^2*t^4.42 + 3*g1^40*t^4.43 + (2*t^4.74)/g1^6 + 2*g1^32*t^4.74 + (4*t^5.05)/g1^14 + 5*g1^24*t^5.06 + 2*g1^16*t^5.37 + (3*t^5.68)/g1^30 + 7*g1^8*t^5.69 + 2*g1^46*t^5.69 - 2*t^6. - t^6./g1^38 + (2*t^6.31)/g1^46 + (4*t^6.31)/g1^8 + 4*g1^30*t^6.32 + 2*g1^68*t^6.32 + (4*t^6.62)/g1^54 + (5*t^6.63)/g1^16 + 5*g1^22*t^6.63 + 5*g1^60*t^6.64 + (5*t^6.94)/g1^24 + 5*g1^14*t^6.95 + 5*g1^52*t^6.95 + (4*t^7.26)/g1^32 + 6*g1^6*t^7.26 + 7*g1^44*t^7.27 + (2*t^7.58)/g1^2 + 5*g1^36*t^7.58 + g1^74*t^7.59 + (4*t^7.89)/g1^48 + (8*t^7.89)/g1^10 + 11*g1^28*t^7.9 + 3*g1^66*t^7.9 - t^8.2/g1^56 - (6*t^8.21)/g1^18 - 2*g1^20*t^8.21 + g1^58*t^8.22 + g1^96*t^8.22 + (3*t^8.52)/g1^64 + (4*t^8.52)/g1^26 + 8*g1^12*t^8.53 + 7*g1^50*t^8.53 + 3*g1^88*t^8.54 + (5*t^8.83)/g1^72 + (4*t^8.84)/g1^34 - 2*g1^4*t^8.84 + 6*g1^42*t^8.85 + 7*g1^80*t^8.85 - t^4.58/(g1^2*y) - t^6.79/(g1^20*y) - (g1^18*t^6.79)/y + t^7.42/(g1^36*y) + (3*g1^2*t^7.42)/y + (g1^40*t^7.43)/y + (3*t^7.74)/(g1^6*y) + (2*g1^32*t^7.74)/y + (4*t^8.05)/(g1^14*y) + (4*g1^24*t^8.06)/y + t^8.37/(g1^22*y) + (3*g1^16*t^8.37)/y + (4*t^8.68)/(g1^30*y) + (7*g1^8*t^8.69)/y + (2*g1^46*t^8.69)/y - (t^4.58*y)/g1^2 - (t^6.79*y)/g1^20 - g1^18*t^6.79*y + (t^7.42*y)/g1^36 + 3*g1^2*t^7.42*y + g1^40*t^7.43*y + (3*t^7.74*y)/g1^6 + 2*g1^32*t^7.74*y + (4*t^8.05*y)/g1^14 + 4*g1^24*t^8.06*y + (t^8.37*y)/g1^22 + 3*g1^16*t^8.37*y + (4*t^8.68*y)/g1^30 + 7*g1^8*t^8.69*y + 2*g1^46*t^8.69*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 |
---|---|---|---|---|---|---|---|---|
3523 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6555 | 0.8697 | 0.7537 | [X:[], M:[0.9511, 1.1467, 0.9511, 0.7555, 0.7201, 0.8533, 0.8179], q:[0.7378, 0.3111], qb:[0.4089, 0.4443], phi:[0.5245]] | 2*t^2.16 + 2*t^2.27 + t^2.45 + t^2.56 + 2*t^2.85 + 2*t^3.44 + t^4.03 + t^4.13 + t^4.24 + 3*t^4.32 + 4*t^4.43 + 3*t^4.53 + 2*t^4.61 + 4*t^4.72 + 2*t^4.83 + t^4.91 + 5*t^5.01 + 5*t^5.12 + 2*t^5.31 + 2*t^5.41 + 3*t^5.6 + 5*t^5.71 + t^5.89 - 2*t^6. - t^4.57/y - t^4.57*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 |
---|---|---|---|---|---|---|---|---|---|
1907 | 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_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6468 | 0.851 | 0.76 | [X:[], M:[0.9767, 1.07, 0.9767, 0.7324, 0.7559, 0.7791], q:[0.7442, 0.2792], qb:[0.4768, 0.4533], phi:[0.5117]] | 2*t^2.2 + 2*t^2.27 + t^2.34 + 2*t^2.93 + 2*t^3.21 + t^3.59 + t^4.25 + t^4.33 + 3*t^4.39 + t^4.4 + 4*t^4.47 + 2*t^4.53 + 3*t^4.54 + 2*t^4.6 + t^4.67 + 4*t^5.13 + 4*t^5.2 + 2*t^5.27 + 3*t^5.41 + 3*t^5.48 + 2*t^5.55 + 2*t^5.79 + 4*t^5.86 - 4*t^6. - t^4.53/y - t^4.53*y | detail |