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 |
---|---|---|---|---|---|---|---|---|---|
46636 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_1^2$ + $ M_4^2$ | 0.7197 | 0.879 | 0.8188 | [X:[], M:[1.0, 0.805, 0.9025, 1.0], q:[0.5487, 0.4513], qb:[0.6462, 0.5487], phi:[0.4513]] | [X:[], M:[[0], [-4], [-2], [0]], q:[[1], [-1]], qb:[[3], [1]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ \phi_1^2$, $ M_1$, $ M_4$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_2$, $ M_3^2$, $ M_2M_4$, $ M_3\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_4$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_2q_2\tilde{q}_1$ | $M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.42 + 2*t^2.71 + 2*t^3. + t^3.29 + t^3.58 + t^4.06 + 2*t^4.35 + 4*t^4.65 + t^4.83 + 2*t^4.94 + 2*t^5.12 + t^5.23 + 4*t^5.42 + t^5.71 + t^6.48 + t^6.58 + 3*t^6.77 + t^6.88 + 6*t^7.06 + t^7.17 + t^7.25 + 8*t^7.35 + 2*t^7.54 + 6*t^7.65 + 4*t^7.83 + 2*t^7.94 + 5*t^8.12 + 2*t^8.23 + t^8.52 - 3*t^8.71 + t^8.82 + t^8.89 - t^4.35/y - t^6.77/y - (2*t^7.06)/y + (2*t^7.65)/y + t^7.94/y + (2*t^8.12)/y + (3*t^8.42)/y + (5*t^8.71)/y - t^4.35*y - t^6.77*y - 2*t^7.06*y + 2*t^7.65*y + t^7.94*y + 2*t^8.12*y + 3*t^8.42*y + 5*t^8.71*y | t^2.42/g1^4 + (2*t^2.71)/g1^2 + 2*t^3. + g1^2*t^3.29 + g1^4*t^3.58 + t^4.06/g1^3 + (2*t^4.35)/g1 + 4*g1*t^4.65 + t^4.83/g1^8 + 2*g1^3*t^4.94 + (2*t^5.12)/g1^6 + g1^5*t^5.23 + (4*t^5.42)/g1^4 + t^5.71/g1^2 + t^6.48/g1^7 + g1^4*t^6.58 + (3*t^6.77)/g1^5 + g1^6*t^6.88 + (6*t^7.06)/g1^3 + g1^8*t^7.17 + t^7.25/g1^12 + (8*t^7.35)/g1 + (2*t^7.54)/g1^10 + 6*g1*t^7.65 + (4*t^7.83)/g1^8 + 2*g1^3*t^7.94 + (5*t^8.12)/g1^6 + 2*g1^5*t^8.23 + g1^7*t^8.52 - (3*t^8.71)/g1^2 + g1^9*t^8.82 + t^8.89/g1^11 - t^4.35/(g1*y) - t^6.77/(g1^5*y) - (2*t^7.06)/(g1^3*y) + (2*g1*t^7.65)/y + (g1^3*t^7.94)/y + (2*t^8.12)/(g1^6*y) + (3*t^8.42)/(g1^4*y) + (5*t^8.71)/(g1^2*y) - (t^4.35*y)/g1 - (t^6.77*y)/g1^5 - (2*t^7.06*y)/g1^3 + 2*g1*t^7.65*y + g1^3*t^7.94*y + (2*t^8.12*y)/g1^6 + (3*t^8.42*y)/g1^4 + (5*t^8.71*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
47266 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_1^2$ + $ M_4^2$ + $ M_3M_5$ | 0.7114 | 0.8651 | 0.8224 | [X:[], M:[1.0, 0.8341, 0.917, 1.0, 1.083], q:[0.5415, 0.4585], qb:[0.6244, 0.5415], phi:[0.4585]] | t^2.5 + t^2.75 + 2*t^3. + 2*t^3.25 + t^3.5 + t^4.13 + 2*t^4.38 + 4*t^4.62 + 2*t^4.87 + t^5. + t^5.12 + t^5.25 + 2*t^5.5 - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
46228 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_1^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[1.0, 0.8539, 0.8539, 0.8539], q:[0.5, 0.5], qb:[0.6461, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail |