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 |
---|---|---|---|---|---|---|---|---|---|
164 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6363 | 0.8037 | 0.7917 | [X:[], M:[1.1421, 0.679], q:[0.75, 0.429], qb:[0.429, 0.3921], phi:[0.5]] | [X:[], M:[[2], [-1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2q_1q_2$, $ M_2q_1\tilde{q}_1$, $ M_2\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $q_1q_2^2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0 | t^2.04 + 2*t^2.46 + t^3. + 2*t^3.43 + 2*t^3.54 + t^3.85 + t^3.96 + 4*t^4.07 + 2*t^4.5 + 3*t^4.93 + t^5.04 + 4*t^5.46 + 2*t^5.57 + 3*t^5.89 + 2*t^6.11 + 2*t^6.32 + 2*t^6.43 + 6*t^6.54 + 3*t^6.85 + 4*t^6.96 + 3*t^7.07 + 2*t^7.28 + 4*t^7.39 + 4*t^7.5 + 4*t^7.61 + t^7.71 + t^7.82 + 6*t^7.93 - t^8.04 + 7*t^8.15 + 4*t^8.35 - 2*t^8.46 + 2*t^8.57 + 3*t^8.78 + 4*t^8.89 - t^4.5/y - t^6.54/y + t^7.07/y + (2*t^7.5)/y + t^8.04/y + (5*t^8.46)/y + t^8.57/y + (5*t^8.89)/y - t^4.5*y - t^6.54*y + t^7.07*y + 2*t^7.5*y + t^8.04*y + 5*t^8.46*y + t^8.57*y + 5*t^8.89*y | t^2.04/g1 + 2*g1*t^2.46 + t^3. + 2*g1^2*t^3.43 + (2*t^3.54)/g1 + g1^4*t^3.85 + g1*t^3.96 + (4*t^4.07)/g1^2 + 2*t^4.5 + 3*g1^2*t^4.93 + t^5.04/g1 + 4*g1*t^5.46 + (2*t^5.57)/g1^2 + 3*g1^3*t^5.89 + (2*t^6.11)/g1^3 + 2*g1^5*t^6.32 + 2*g1^2*t^6.43 + (6*t^6.54)/g1 + 3*g1^4*t^6.85 + 4*g1*t^6.96 + (3*t^7.07)/g1^2 + 2*g1^6*t^7.28 + 4*g1^3*t^7.39 + 4*t^7.5 + (4*t^7.61)/g1^3 + g1^8*t^7.71 + g1^5*t^7.82 + 6*g1^2*t^7.93 - t^8.04/g1 + (7*t^8.15)/g1^4 + 4*g1^4*t^8.35 - 2*g1*t^8.46 + (2*t^8.57)/g1^2 + 3*g1^6*t^8.78 + 4*g1^3*t^8.89 - t^4.5/y - t^6.54/(g1*y) + t^7.07/(g1^2*y) + (2*t^7.5)/y + t^8.04/(g1*y) + (5*g1*t^8.46)/y + t^8.57/(g1^2*y) + (5*g1^3*t^8.89)/y - t^4.5*y - (t^6.54*y)/g1 + (t^7.07*y)/g1^2 + 2*t^7.5*y + (t^8.04*y)/g1 + 5*g1*t^8.46*y + (t^8.57*y)/g1^2 + 5*g1^3*t^8.89*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 |
---|---|---|---|---|---|---|---|---|
259 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_3$ | 0.6155 | 0.7629 | 0.8067 | [X:[], M:[1.1409, 0.6796, 1.3204], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.46 + t^3. + 2*t^3.42 + 2*t^3.54 + t^3.85 + 2*t^3.96 + 3*t^4.08 + 3*t^4.92 + 2*t^5.46 + 2*t^5.88 - t^6. - t^4.5/y - t^4.5*y | detail | |
258 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6571 | 0.8446 | 0.778 | [X:[], M:[1.1432, 0.6784, 0.6784], q:[0.75, 0.4284], qb:[0.4284, 0.3932], phi:[0.5]] | 2*t^2.04 + 2*t^2.46 + t^3. + 2*t^3.43 + 2*t^3.54 + t^3.86 + 6*t^4.07 + 4*t^4.5 + 3*t^4.93 + 2*t^5.04 + 6*t^5.46 + 4*t^5.57 + 4*t^5.89 - t^6. - t^4.5/y - t^4.5*y | detail | |
1723 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3q_1q_2$ | 0.6516 | 0.8309 | 0.7842 | [X:[], M:[1.131, 0.6845, 0.8155], q:[0.75, 0.4345], qb:[0.4345, 0.381], phi:[0.5]] | t^2.05 + 3*t^2.45 + t^3. + 2*t^3.39 + t^3.55 + t^3.79 + t^3.95 + 4*t^4.11 + 3*t^4.5 + 6*t^4.89 + t^5.05 + 5*t^5.45 + t^5.61 + 5*t^5.84 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
103 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1q_2\tilde{q}_2$ | 0.6363 | 0.8038 | 0.7916 | [X:[], M:[1.142, 0.6775], q:[0.75, 0.4306], qb:[0.4275, 0.392], phi:[0.5]] | t^2.03 + t^2.46 + t^2.47 + t^3. + 2*t^3.43 + t^3.53 + t^3.54 + t^3.85 + t^3.96 + 2*t^4.06 + t^4.07 + t^4.08 + t^4.49 + t^4.5 + t^4.92 + t^4.93 + t^4.94 + t^5.03 + 3*t^5.46 + t^5.47 + t^5.56 + t^5.57 + 2*t^5.88 + t^5.89 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |