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 |
---|---|---|---|---|---|---|---|---|---|
3327 | 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$ + $ 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]] | [X:[], M:[[4], [-12], [4], [20], [12], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_6$, $ M_5$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_1$, $ 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_6q_2\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_4M_5$, $ M_5q_2\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_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$, $ M_1M_6$, $ M_3M_6$, $ M_1M_5$, $ M_3M_5$, $ \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$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1q_2^2$ | $M_5\phi_1q_2^2$ | -1 | 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^6.08 + t^6.22 + 4*t^6.3 + 2*t^6.38 + 2*t^6.45 + 2*t^6.52 + 2*t^6.6 + 5*t^6.68 + 5*t^6.75 + t^6.82 + 5*t^6.9 + 4*t^6.98 + 4*t^7.05 + t^7.12 + 3*t^7.2 + 5*t^7.28 + 7*t^7.35 + t^7.42 + 3*t^7.5 + 4*t^7.57 + 5*t^7.65 + 3*t^7.8 + 3*t^7.87 + 8*t^7.95 + t^8.03 + t^8.1 + 2*t^8.17 - t^8.25 + 2*t^8.33 + 2*t^8.4 + t^8.41 - t^8.47 + 4*t^8.55 + 2*t^8.63 + 2*t^8.7 + 3*t^8.71 + 3*t^8.77 - 3*t^8.85 + 6*t^8.93 - t^4.57/y - t^6.83/y - t^7.05/y + t^7.43/y + t^7.5/y + t^7.65/y + (4*t^7.72)/y + (2*t^7.8)/y + (3*t^8.02)/y + (5*t^8.1)/y + (3*t^8.32)/y + (2*t^8.4)/y + (2*t^8.62)/y + (5*t^8.7)/y + (2*t^8.92)/y - t^4.57*y - t^6.83*y - t^7.05*y + t^7.43*y + t^7.5*y + t^7.65*y + 4*t^7.72*y + 2*t^7.8*y + 3*t^8.02*y + 5*t^8.1*y + 3*t^8.32*y + 2*t^8.4*y + 2*t^8.62*y + 5*t^8.7*y + 2*t^8.92*y | t^2.17/g1^18 + 2*g1^20*t^2.25 + t^2.47/g1^26 + g1^12*t^2.55 + 2*g1^4*t^2.85 + (2*t^3.45)/g1^12 + g1^18*t^3.83 + t^4.05/g1^28 + g1^10*t^4.13 + g1^48*t^4.2 + t^4.35/g1^36 + 2*g1^2*t^4.43 + 3*g1^40*t^4.5 + t^4.65/g1^44 + (3*t^4.72)/g1^6 + 2*g1^32*t^4.8 + t^4.95/g1^52 + (3*t^5.02)/g1^14 + 5*g1^24*t^5.1 + (2*t^5.32)/g1^22 + 2*g1^16*t^5.4 + t^5.62/g1^30 + 5*g1^8*t^5.7 + t^5.92/g1^38 - t^6. + g1^38*t^6.08 + t^6.22/g1^46 + (4*t^6.3)/g1^8 + 2*g1^30*t^6.38 + 2*g1^68*t^6.45 + (2*t^6.52)/g1^54 + (2*t^6.6)/g1^16 + 5*g1^22*t^6.68 + 5*g1^60*t^6.75 + t^6.82/g1^62 + (5*t^6.9)/g1^24 + 4*g1^14*t^6.98 + 4*g1^52*t^7.05 + t^7.12/g1^70 + (3*t^7.2)/g1^32 + 5*g1^6*t^7.28 + 7*g1^44*t^7.35 + t^7.42/g1^78 + (3*t^7.5)/g1^40 + (4*t^7.57)/g1^2 + 5*g1^36*t^7.65 + (3*t^7.8)/g1^48 + (3*t^7.87)/g1^10 + 8*g1^28*t^7.95 + g1^66*t^8.03 + t^8.1/g1^56 + (2*t^8.17)/g1^18 - g1^20*t^8.25 + 2*g1^58*t^8.33 + (2*t^8.4)/g1^64 + g1^96*t^8.41 - t^8.47/g1^26 + 4*g1^12*t^8.55 + 2*g1^50*t^8.63 + (2*t^8.7)/g1^72 + 3*g1^88*t^8.71 + (3*t^8.77)/g1^34 - 3*g1^4*t^8.85 + 6*g1^42*t^8.93 - t^4.57/(g1^2*y) - (g1^18*t^6.83)/y - t^7.05/(g1^28*y) + (g1^2*t^7.43)/y + (g1^40*t^7.5)/y + t^7.65/(g1^44*y) + (4*t^7.72)/(g1^6*y) + (2*g1^32*t^7.8)/y + (3*t^8.02)/(g1^14*y) + (5*g1^24*t^8.1)/y + (3*t^8.32)/(g1^22*y) + (2*g1^16*t^8.4)/y + (2*t^8.62)/(g1^30*y) + (5*g1^8*t^8.7)/y + (2*t^8.92)/(g1^38*y) - (t^4.57*y)/g1^2 - g1^18*t^6.83*y - (t^7.05*y)/g1^28 + g1^2*t^7.43*y + g1^40*t^7.5*y + (t^7.65*y)/g1^44 + (4*t^7.72*y)/g1^6 + 2*g1^32*t^7.8*y + (3*t^8.02*y)/g1^14 + 5*g1^24*t^8.1*y + (3*t^8.32*y)/g1^22 + 2*g1^16*t^8.4*y + (2*t^8.62*y)/g1^30 + 5*g1^8*t^8.7*y + (2*t^8.92*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
3768 | $M_1q_1q_2$ + $ 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$ + $ M_5M_7$ | 0.6226 | 0.8101 | 0.7686 | [X:[], M:[0.9519, 1.1442, 0.9519, 0.7597, 0.8558, 0.8123, 1.1442], q:[0.738, 0.3101], qb:[0.4062, 0.4497], phi:[0.524]] | t^2.15 + 2*t^2.28 + t^2.44 + 2*t^2.86 + 3*t^3.43 + t^3.85 + t^4.01 + t^4.14 + t^4.27 + t^4.3 + 2*t^4.43 + 3*t^4.56 + t^4.59 + 2*t^4.72 + t^4.87 + 2*t^5. + 4*t^5.14 + 2*t^5.29 + 2*t^5.58 + 7*t^5.71 + 2*t^5.87 - 3*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.58/y - t^4.58*y | detail |