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 |
---|---|---|---|---|---|---|---|---|---|
259 | 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$ + $ 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]] | [X:[], M:[[2], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ \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$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_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$ | -1 | 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. - 2*t^6.12 + 2*t^6.31 + 4*t^6.42 + 4*t^6.54 + 3*t^6.85 + 2*t^6.96 + 2*t^7.08 + 2*t^7.27 + 6*t^7.38 + 2*t^7.5 + 2*t^7.62 + t^7.69 + 2*t^7.81 + 5*t^7.92 + 2*t^8.04 + 5*t^8.15 + 2*t^8.35 - 4*t^8.46 - 4*t^8.58 + 3*t^8.77 + 4*t^8.88 - t^4.5/y + t^7.08/y + (2*t^8.46)/y + (4*t^8.88)/y - t^4.5*y + t^7.08*y + 2*t^8.46*y + 4*t^8.88*y | 2*g1*t^2.46 + t^3. + 2*g1^2*t^3.42 + (2*t^3.54)/g1 + g1^4*t^3.85 + 2*g1*t^3.96 + (3*t^4.08)/g1^2 + 3*g1^2*t^4.92 + 2*g1*t^5.46 + 2*g1^3*t^5.88 - t^6. - (2*t^6.12)/g1^3 + 2*g1^5*t^6.31 + 4*g1^2*t^6.42 + (4*t^6.54)/g1 + 3*g1^4*t^6.85 + 2*g1*t^6.96 + (2*t^7.08)/g1^2 + 2*g1^6*t^7.27 + 6*g1^3*t^7.38 + 2*t^7.5 + (2*t^7.62)/g1^3 + g1^8*t^7.69 + 2*g1^5*t^7.81 + 5*g1^2*t^7.92 + (2*t^8.04)/g1 + (5*t^8.15)/g1^4 + 2*g1^4*t^8.35 - 4*g1*t^8.46 - (4*t^8.58)/g1^2 + 3*g1^6*t^8.77 + 4*g1^3*t^8.88 - t^4.5/y + t^7.08/(g1^2*y) + (2*g1*t^8.46)/y + (4*g1^3*t^8.88)/y - t^4.5*y + (t^7.08*y)/g1^2 + 2*g1*t^8.46*y + 4*g1^3*t^8.88*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 |
---|---|---|---|---|---|---|---|---|
1760 | $\phi_1q_1^2$ + $ 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$ + $ M_4q_1q_2$ | 0.6309 | 0.7906 | 0.7979 | [X:[], M:[1.1293, 0.6853, 1.3147, 0.8147], q:[0.75, 0.4353], qb:[0.4353, 0.3793], phi:[0.5]] | 3*t^2.44 + t^3. + 2*t^3.39 + t^3.56 + t^3.78 + 2*t^3.94 + 3*t^4.11 + 6*t^4.89 + 3*t^5.44 + 4*t^5.83 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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 - t^4.5/y - t^4.5*y | detail |