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 |
---|---|---|---|---|---|---|---|---|---|
2805 | 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_5q_1\tilde{q}_1$ + $ M_2M_5$ | 0.6215 | 0.8097 | 0.7675 | [X:[], M:[0.9461, 1.1616, 0.9461, 0.7307, 0.8384], q:[0.7365, 0.3173], qb:[0.4251, 0.4134], phi:[0.5269]] | [X:[], M:[[4], [-12], [4], [20], [12]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_5$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_4\phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_5\phi_1q_2^2$ | -1 | 2*t^2.19 + t^2.23 + t^2.52 + 2*t^2.84 + t^3.45 + 2*t^3.48 + t^3.77 + t^4.06 + t^4.1 + t^4.13 + 3*t^4.38 + 2*t^4.42 + t^4.45 + 2*t^4.71 + t^4.74 + 5*t^5.03 + 2*t^5.07 + 2*t^5.35 + 2*t^5.64 + 6*t^5.68 + t^5.71 + 2*t^5.96 - t^6. - t^6.04 + 2*t^6.25 + 4*t^6.29 + 3*t^6.32 + t^6.36 + 5*t^6.58 + 4*t^6.61 + t^6.65 + t^6.68 + 5*t^6.9 + 3*t^6.93 + 3*t^6.97 + 8*t^7.22 + 3*t^7.26 + t^7.51 + 6*t^7.55 + 4*t^7.83 + 10*t^7.87 + 2*t^7.9 + t^7.94 + t^8.12 + 4*t^8.16 - 3*t^8.23 + 3*t^8.45 + 7*t^8.48 + 5*t^8.52 + t^8.59 + 7*t^8.77 + 6*t^8.8 - 5*t^8.84 - t^8.87 + t^8.91 - t^4.58/y - t^6.77/y + t^7.38/y + t^7.42/y + (2*t^7.71)/y + (2*t^7.74)/y + (4*t^8.03)/y + (2*t^8.07)/y + (2*t^8.35)/y + t^8.39/y + (2*t^8.64)/y + (6*t^8.68)/y + (2*t^8.71)/y + (2*t^8.96)/y - t^4.58*y - t^6.77*y + t^7.38*y + t^7.42*y + 2*t^7.71*y + 2*t^7.74*y + 4*t^8.03*y + 2*t^8.07*y + 2*t^8.35*y + t^8.39*y + 2*t^8.64*y + 6*t^8.68*y + 2*t^8.71*y + 2*t^8.96*y | 2*g1^20*t^2.19 + t^2.23/g1^18 + g1^12*t^2.52 + 2*g1^4*t^2.84 + g1^26*t^3.45 + (2*t^3.48)/g1^12 + g1^18*t^3.77 + g1^48*t^4.06 + g1^10*t^4.1 + t^4.13/g1^28 + 3*g1^40*t^4.38 + 2*g1^2*t^4.42 + t^4.45/g1^36 + 2*g1^32*t^4.71 + t^4.74/g1^6 + 5*g1^24*t^5.03 + (2*t^5.07)/g1^14 + 2*g1^16*t^5.35 + 2*g1^46*t^5.64 + 6*g1^8*t^5.68 + t^5.71/g1^30 + 2*g1^38*t^5.96 - t^6. - t^6.04/g1^38 + 2*g1^68*t^6.25 + 4*g1^30*t^6.29 + (3*t^6.32)/g1^8 + t^6.36/g1^46 + 5*g1^60*t^6.58 + 4*g1^22*t^6.61 + t^6.65/g1^16 + t^6.68/g1^54 + 5*g1^52*t^6.9 + 3*g1^14*t^6.93 + (3*t^6.97)/g1^24 + 8*g1^44*t^7.22 + 3*g1^6*t^7.26 + g1^74*t^7.51 + 6*g1^36*t^7.55 + 4*g1^66*t^7.83 + 10*g1^28*t^7.87 + (2*t^7.9)/g1^10 + t^7.94/g1^48 + g1^96*t^8.12 + 4*g1^58*t^8.16 - (3*t^8.23)/g1^18 + 3*g1^88*t^8.45 + 7*g1^50*t^8.48 + 5*g1^12*t^8.52 + t^8.59/g1^64 + 7*g1^80*t^8.77 + 6*g1^42*t^8.8 - 5*g1^4*t^8.84 - t^8.87/g1^34 + t^8.91/g1^72 - t^4.58/(g1^2*y) - (g1^18*t^6.77)/y + (g1^40*t^7.38)/y + (g1^2*t^7.42)/y + (2*g1^32*t^7.71)/y + (2*t^7.74)/(g1^6*y) + (4*g1^24*t^8.03)/y + (2*t^8.07)/(g1^14*y) + (2*g1^16*t^8.35)/y + t^8.39/(g1^22*y) + (2*g1^46*t^8.64)/y + (6*g1^8*t^8.68)/y + (2*t^8.71)/(g1^30*y) + (2*g1^38*t^8.96)/y - (t^4.58*y)/g1^2 - g1^18*t^6.77*y + g1^40*t^7.38*y + g1^2*t^7.42*y + 2*g1^32*t^7.71*y + (2*t^7.74*y)/g1^6 + 4*g1^24*t^8.03*y + (2*t^8.07*y)/g1^14 + 2*g1^16*t^8.35*y + (t^8.39*y)/g1^22 + 2*g1^46*t^8.64*y + 6*g1^8*t^8.68*y + (2*t^8.71*y)/g1^30 + 2*g1^38*t^8.96*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 |
---|---|---|---|---|---|---|---|---|
3327 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_1$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6355 | 0.8324 | 0.7635 | [X:[], M:[0.9501, 1.1498, 0.9501, 0.7504, 0.8502, 0.8245], q:[0.7375, 0.3124], qb:[0.4123, 0.438], phi:[0.525]] | t^2.17 + 2*t^2.25 + t^2.47 + t^2.55 + 2*t^2.85 + 2*t^3.45 + t^3.83 + t^4.05 + t^4.13 + t^4.2 + t^4.35 + 2*t^4.43 + 3*t^4.5 + t^4.65 + 3*t^4.72 + 2*t^4.8 + t^4.95 + 3*t^5.02 + 5*t^5.1 + 2*t^5.32 + 2*t^5.4 + t^5.62 + 5*t^5.7 + t^5.92 - 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 |
---|---|---|---|---|---|---|---|---|---|
1794 | 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_5q_1\tilde{q}_1$ | 0.6282 | 0.8184 | 0.7676 | [X:[], M:[0.9772, 1.0683, 0.9772, 0.7228, 0.7684], q:[0.7443, 0.2785], qb:[0.4873, 0.4444], phi:[0.5114]] | 2*t^2.17 + t^2.3 + t^2.31 + 2*t^2.93 + 2*t^3.2 + t^3.57 + t^3.7 + t^4.2 + t^4.33 + 3*t^4.34 + t^4.46 + 4*t^4.47 + t^4.59 + t^4.6 + t^4.61 + 4*t^5.1 + 2*t^5.23 + 2*t^5.24 + 3*t^5.37 + t^5.5 + 2*t^5.51 + 2*t^5.73 + 3*t^5.86 + 2*t^5.87 - 3*t^6. - t^4.53/y - t^4.53*y | detail |