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 |
---|---|---|---|---|---|---|---|---|---|
1284 | 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_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.7013 | 0.8626 | 0.813 | [X:[], M:[0.9771, 0.9313, 1.0229, 1.0687, 0.9771, 0.8854], q:[0.5802, 0.4427], qb:[0.4885, 0.5344], phi:[0.4885]] | [X:[], M:[[-2], [-6], [2], [6], [-2], [-10]], q:[[7], [-5]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ M_2$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ M_3M_6$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$ | $M_1M_3$, $ M_3M_5$ | 0 | t^2.66 + t^2.79 + 3*t^2.93 + t^3.07 + t^3.21 + t^4.12 + t^4.26 + 2*t^4.4 + 2*t^4.53 + 2*t^4.67 + t^4.81 + t^4.95 + t^5.31 + t^5.45 + 3*t^5.59 + 2*t^5.73 + 5*t^5.86 - t^6.27 + t^6.78 + 2*t^6.92 + 5*t^7.05 + 4*t^7.19 + 6*t^7.33 + 4*t^7.47 + 4*t^7.6 + t^7.74 + 2*t^7.88 + t^7.97 + t^8.11 + t^8.15 + 4*t^8.24 + 3*t^8.38 + 6*t^8.52 + 2*t^8.66 + 5*t^8.79 - 4*t^8.93 - t^4.47/y - t^7.12/y - (2*t^7.4)/y + (2*t^7.53)/y + t^7.81/y + t^8.45/y + (3*t^8.59)/y + (4*t^8.73)/y + (5*t^8.86)/y - t^4.47*y - t^7.12*y - 2*t^7.4*y + 2*t^7.53*y + t^7.81*y + t^8.45*y + 3*t^8.59*y + 4*t^8.73*y + 5*t^8.86*y | t^2.66/g1^10 + t^2.79/g1^6 + (3*t^2.93)/g1^2 + g1^2*t^3.07 + g1^6*t^3.21 + t^4.12/g1^11 + t^4.26/g1^7 + (2*t^4.4)/g1^3 + 2*g1*t^4.53 + 2*g1^5*t^4.67 + g1^9*t^4.81 + g1^13*t^4.95 + t^5.31/g1^20 + t^5.45/g1^16 + (3*t^5.59)/g1^12 + (2*t^5.73)/g1^8 + (5*t^5.86)/g1^4 - g1^8*t^6.27 + t^6.78/g1^21 + (2*t^6.92)/g1^17 + (5*t^7.05)/g1^13 + (4*t^7.19)/g1^9 + (6*t^7.33)/g1^5 + (4*t^7.47)/g1 + 4*g1^3*t^7.6 + g1^7*t^7.74 + 2*g1^11*t^7.88 + t^7.97/g1^30 + t^8.11/g1^26 + g1^19*t^8.15 + (4*t^8.24)/g1^22 + (3*t^8.38)/g1^18 + (6*t^8.52)/g1^14 + (2*t^8.66)/g1^10 + (5*t^8.79)/g1^6 - (4*t^8.93)/g1^2 - t^4.47/(g1*y) - t^7.12/(g1^11*y) - (2*t^7.4)/(g1^3*y) + (2*g1*t^7.53)/y + (g1^9*t^7.81)/y + t^8.45/(g1^16*y) + (3*t^8.59)/(g1^12*y) + (4*t^8.73)/(g1^8*y) + (5*t^8.86)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.12*y)/g1^11 - (2*t^7.4*y)/g1^3 + 2*g1*t^7.53*y + g1^9*t^7.81*y + (t^8.45*y)/g1^16 + (3*t^8.59*y)/g1^12 + (4*t^8.73*y)/g1^8 + (5*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
2330 | $M_1q_1q_2$ + $ \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_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_3\phi_1^2$ + $ M_3M_7$ | 0.7036 | 0.8669 | 0.8116 | [X:[], M:[0.9747, 0.924, 1.0253, 1.076, 0.9747, 0.8734, 0.9747], q:[0.5886, 0.4367], qb:[0.4873, 0.538], phi:[0.4873]] | t^2.62 + t^2.77 + 4*t^2.92 + t^3.23 + t^4.08 + t^4.23 + 2*t^4.39 + 2*t^4.54 + 2*t^4.69 + t^4.84 + t^4.99 + t^5.24 + t^5.39 + 4*t^5.54 + 2*t^5.7 + 8*t^5.85 - 3*t^6. - t^4.46/y - t^4.46*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 |
---|---|---|---|---|---|---|---|---|---|
805 | 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_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7476 | 0.931 | 0.803 | [X:[], M:[0.8758, 1.0, 0.7516, 1.0, 0.8758, 0.7516], q:[0.5621, 0.5621], qb:[0.4379, 0.6863], phi:[0.4379]] | 2*t^2.25 + 3*t^2.63 + 2*t^3. + t^3.94 + 2*t^4.31 + 3*t^4.51 + 4*t^4.69 + 6*t^4.88 + 2*t^5.06 + 9*t^5.25 + t^5.43 + 2*t^5.63 - 3*t^6. - t^4.31/y - t^4.31*y | detail |