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 |
---|---|---|---|---|---|---|---|---|---|
510 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1M_2$ | 0.7063 | 0.8641 | 0.8173 | [X:[], M:[0.9489, 1.0511, 0.8468, 1.0], q:[0.5, 0.5511], qb:[0.4489, 0.6021], phi:[0.4745]] | [X:[], M:[[-2], [2], [-6], [0]], q:[[0], [2]], qb:[[-2], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_1$, $ \phi_1^2$, $ M_4$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$ | $M_2\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 1 | t^2.54 + 2*t^2.85 + t^3. + 2*t^3.15 + t^3.31 + t^4.12 + t^4.27 + 2*t^4.42 + 2*t^4.58 + 2*t^4.73 + t^4.88 + t^5.04 + t^5.08 + 2*t^5.39 + 3*t^5.69 + t^6. + t^6.15 + t^6.31 + t^6.46 + t^6.61 + t^6.66 + t^6.81 + 3*t^6.96 + 3*t^7.12 + 4*t^7.27 + 4*t^7.42 + 4*t^7.58 + t^7.62 + 3*t^7.73 + 3*t^7.88 + 2*t^7.93 + 2*t^8.04 + t^8.19 + 4*t^8.23 + t^8.34 + 3*t^8.54 - t^4.42/y - t^6.96/y - t^7.27/y + t^7.58/y + t^7.88/y + (2*t^8.39)/y + t^8.54/y + (3*t^8.69)/y + (3*t^8.85)/y - t^4.42*y - t^6.96*y - t^7.27*y + t^7.58*y + t^7.88*y + 2*t^8.39*y + t^8.54*y + 3*t^8.69*y + 3*t^8.85*y | t^2.54/g1^6 + (2*t^2.85)/g1^2 + t^3. + 2*g1^2*t^3.15 + g1^4*t^3.31 + t^4.12/g1^5 + t^4.27/g1^3 + (2*t^4.42)/g1 + 2*g1*t^4.58 + 2*g1^3*t^4.73 + g1^5*t^4.88 + g1^7*t^5.04 + t^5.08/g1^12 + (2*t^5.39)/g1^8 + (3*t^5.69)/g1^4 + t^6. + g1^2*t^6.15 + g1^4*t^6.31 + g1^6*t^6.46 + g1^8*t^6.61 + t^6.66/g1^11 + t^6.81/g1^9 + (3*t^6.96)/g1^7 + (3*t^7.12)/g1^5 + (4*t^7.27)/g1^3 + (4*t^7.42)/g1 + 4*g1*t^7.58 + t^7.62/g1^18 + 3*g1^3*t^7.73 + 3*g1^5*t^7.88 + (2*t^7.93)/g1^14 + 2*g1^7*t^8.04 + g1^9*t^8.19 + (4*t^8.23)/g1^10 + g1^11*t^8.34 + (3*t^8.54)/g1^6 - t^4.42/(g1*y) - t^6.96/(g1^7*y) - t^7.27/(g1^3*y) + (g1*t^7.58)/y + (g1^5*t^7.88)/y + (2*t^8.39)/(g1^8*y) + t^8.54/(g1^6*y) + (3*t^8.69)/(g1^4*y) + (3*t^8.85)/(g1^2*y) - (t^4.42*y)/g1 - (t^6.96*y)/g1^7 - (t^7.27*y)/g1^3 + g1*t^7.58*y + g1^5*t^7.88*y + (2*t^8.39*y)/g1^8 + (t^8.54*y)/g1^6 + (3*t^8.69*y)/g1^4 + (3*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
797 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_1M_2$ + $ M_2M_5$ | 0.7114 | 0.8731 | 0.8147 | [X:[], M:[0.9413, 1.0587, 0.8238, 1.0, 0.9413], q:[0.5, 0.5587], qb:[0.4413, 0.6175], phi:[0.4706]] | t^2.47 + 3*t^2.82 + t^3. + t^3.18 + t^3.35 + t^4.06 + t^4.24 + 2*t^4.41 + 2*t^4.59 + 2*t^4.76 + 2*t^4.94 + t^5.12 + 3*t^5.3 + 5*t^5.65 + t^5.82 - t^4.41/y - t^4.41*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 |
---|---|---|---|---|---|---|---|---|---|
328 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 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 |