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 |
---|---|---|---|---|---|---|---|---|---|
504 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_3M_4$ | 0.7046 | 0.8591 | 0.8202 | [X:[], M:[0.9439, 0.9439, 1.0561, 0.9439], q:[0.5841, 0.472], qb:[0.472, 0.5841], phi:[0.472]] | [X:[], M:[[-2], [-2], [2], [-2]], q:[[3], [-1]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_2$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$ | $M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | 0 | 4*t^2.83 + 2*t^3.17 + t^3.5 + 3*t^4.25 + 4*t^4.58 + 3*t^4.92 + 6*t^5.66 + 2*t^6.34 + 2*t^6.67 + t^7.01 + 8*t^7.08 + 8*t^7.42 + 8*t^7.75 + 3*t^8.09 + 3*t^8.43 + 12*t^8.5 - 5*t^8.83 - t^4.42/y - (3*t^7.25)/y + (3*t^7.58)/y + (6*t^8.66)/y - t^4.42*y - 3*t^7.25*y + 3*t^7.58*y + 6*t^8.66*y | (4*t^2.83)/g1^2 + 2*g1^2*t^3.17 + g1^6*t^3.5 + (3*t^4.25)/g1^3 + 4*g1*t^4.58 + 3*g1^5*t^4.92 + (6*t^5.66)/g1^4 + 2*g1^4*t^6.34 + 2*g1^8*t^6.67 + g1^12*t^7.01 + (8*t^7.08)/g1^5 + (8*t^7.42)/g1 + 8*g1^3*t^7.75 + 3*g1^7*t^8.09 + 3*g1^11*t^8.43 + (12*t^8.5)/g1^6 - (5*t^8.83)/g1^2 - t^4.42/(g1*y) - (3*t^7.25)/(g1^3*y) + (3*g1*t^7.58)/y + (6*t^8.66)/(g1^4*y) - (t^4.42*y)/g1 - (3*t^7.25*y)/g1^3 + 3*g1*t^7.58*y + (6*t^8.66*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
791 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_1M_3$ + $ M_3M_4$ + $ M_5q_2\tilde{q}_2$ | 0.7103 | 0.8687 | 0.8177 | [X:[], M:[0.9326, 0.9326, 1.0674, 0.9326, 0.9326], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.8 + t^3.2 + t^3.61 + 3*t^4.2 + 4*t^4.6 + 3*t^5.01 + 11*t^5.6 - 3*t^6. - t^4.4/y - t^4.4*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 |
---|---|---|---|---|---|---|---|---|---|
322 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_2\tilde{q}_1$ + $ M_1M_3$ | 0.6999 | 0.852 | 0.8215 | [X:[], M:[0.9551932868590881, 0.9551932868590881, 1.0448067131409118], q:[0.5672100697113678, 0.47759664342954405], qb:[0.47759664342954405, 0.5672100697113678], phi:[0.47759664342954405]] | detail |