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 |
---|---|---|---|---|---|---|---|---|---|
3223 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ | 0.6062 | 0.7757 | 0.7815 | [X:[], M:[1.0, 0.9565, 0.7337, 1.0435], q:[0.7554, 0.2446], qb:[0.5109, 0.5326], phi:[0.4891]] | [X:[], M:[[0], [-8], [-3], [8]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$ | $\phi_1q_2^2\tilde{q}_1^2$ | -1 | t^2.2 + t^2.27 + t^2.33 + 2*t^2.93 + t^3. + t^3.13 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.14 + 2*t^5.2 + 3*t^5.27 + 2*t^5.33 + t^5.4 + t^5.46 + 3*t^5.87 + t^5.93 - t^6. + 3*t^6.07 + 2*t^6.13 + t^6.2 + t^6.26 + t^6.67 + 3*t^6.73 + 3*t^6.8 + 4*t^6.86 + 3*t^6.93 + 3*t^6.99 + t^7.34 + 3*t^7.47 + 3*t^7.53 + 5*t^7.6 + 4*t^7.66 + 2*t^7.73 + 2*t^7.79 + t^8.07 + t^8.14 + t^8.2 - t^8.33 + 4*t^8.4 + 4*t^8.46 + 3*t^8.53 + t^8.59 + 5*t^8.8 - 4*t^8.93 - t^4.47/y - t^6.67/y - t^7.4/y + t^7.47/y + (2*t^7.53)/y + t^7.6/y + (2*t^8.14)/y + (3*t^8.2)/y + (4*t^8.27)/y + (2*t^8.33)/y + t^8.4/y + t^8.46/y + (3*t^8.93)/y - t^4.47*y - t^6.67*y - t^7.4*y + t^7.47*y + 2*t^7.53*y + t^7.6*y + 2*t^8.14*y + 3*t^8.2*y + 4*t^8.27*y + 2*t^8.33*y + t^8.4*y + t^8.46*y + 3*t^8.93*y | t^2.2/g1^3 + g1*t^2.27 + g1^5*t^2.33 + (2*t^2.93)/g1^4 + t^3. + g1^8*t^3.13 + t^3.73/g1 + g1^3*t^3.8 + g1^7*t^3.86 + t^4.4/g1^6 + t^4.47/g1^2 + 3*g1^2*t^4.53 + 2*g1^6*t^4.6 + 2*g1^10*t^4.66 + t^5.14/g1^7 + (2*t^5.2)/g1^3 + 3*g1*t^5.27 + 2*g1^5*t^5.33 + g1^9*t^5.4 + g1^13*t^5.46 + (3*t^5.87)/g1^8 + t^5.93/g1^4 - t^6. + 3*g1^4*t^6.07 + 2*g1^8*t^6.13 + g1^12*t^6.2 + g1^16*t^6.26 + t^6.67/g1^5 + (3*t^6.73)/g1 + 3*g1^3*t^6.8 + 4*g1^7*t^6.86 + 3*g1^11*t^6.93 + 3*g1^15*t^6.99 + t^7.34/g1^10 + (3*t^7.47)/g1^2 + 3*g1^2*t^7.53 + 5*g1^6*t^7.6 + 4*g1^10*t^7.66 + 2*g1^14*t^7.73 + 2*g1^18*t^7.79 + t^8.07/g1^11 + t^8.14/g1^7 + t^8.2/g1^3 - g1^5*t^8.33 + 4*g1^9*t^8.4 + 4*g1^13*t^8.46 + 3*g1^17*t^8.53 + g1^21*t^8.59 + (5*t^8.8)/g1^12 - (4*t^8.93)/g1^4 - t^4.47/(g1^2*y) - t^6.67/(g1^5*y) - t^7.4/(g1^6*y) + t^7.47/(g1^2*y) + (2*g1^2*t^7.53)/y + (g1^6*t^7.6)/y + (2*t^8.14)/(g1^7*y) + (3*t^8.2)/(g1^3*y) + (4*g1*t^8.27)/y + (2*g1^5*t^8.33)/y + (g1^9*t^8.4)/y + (g1^13*t^8.46)/y + (3*t^8.93)/(g1^4*y) - (t^4.47*y)/g1^2 - (t^6.67*y)/g1^5 - (t^7.4*y)/g1^6 + (t^7.47*y)/g1^2 + 2*g1^2*t^7.53*y + g1^6*t^7.6*y + (2*t^8.14*y)/g1^7 + (3*t^8.2*y)/g1^3 + 4*g1*t^8.27*y + 2*g1^5*t^8.33*y + g1^9*t^8.4*y + g1^13*t^8.46*y + (3*t^8.93*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 |
---|---|---|---|---|---|---|---|---|
3642 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6259 | 0.8118 | 0.7711 | [X:[], M:[1.0, 0.9469, 0.7301, 1.0531, 0.7301], q:[0.7566, 0.2434], qb:[0.5133, 0.5398], phi:[0.4867]] | 2*t^2.19 + t^2.27 + t^2.35 + 2*t^2.92 + t^3. + t^3.16 + t^3.73 + t^3.89 + 3*t^4.38 + 2*t^4.46 + 4*t^4.54 + 2*t^4.62 + 2*t^4.7 + 3*t^5.11 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + t^5.43 + t^5.51 + 3*t^5.84 + 2*t^5.92 - 2*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 |
---|---|---|---|---|---|---|---|---|---|
2714 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ | 0.6134 | 0.7861 | 0.7803 | [X:[], M:[1.0, 0.8885, 0.7082], q:[0.7639, 0.2361], qb:[0.5279, 0.5837], phi:[0.4721]] | t^2.12 + t^2.29 + t^2.46 + t^2.67 + 2*t^2.83 + t^3. + t^3.71 + t^3.88 + t^4.04 + t^4.25 + t^4.42 + 3*t^4.58 + 2*t^4.75 + t^4.79 + 2*t^4.92 + 2*t^4.96 + 3*t^5.12 + 3*t^5.29 + t^5.33 + t^5.46 + 2*t^5.5 + 4*t^5.67 + t^5.83 - t^6. - t^4.42/y - t^4.42*y | detail |