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 |
|---|---|---|---|---|---|---|---|---|---|
| 47 | SU2adj1nf2 | $\phi_1^4$ + $ M_1q_1q_2$ | 0.694 | 0.8536 | 0.813 | [X:[], M:[0.9459], q:[0.527, 0.527], qb:[0.473, 0.473], phi:[0.5]] | [X:[], M:[[0, 1, 1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1\tilde{q}_1^2\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$ | $\phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1^2\tilde{q}_1^2$, $ q_1q_2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$ | 6 | 2*t^2.84 + 5*t^3. + 3*t^4.34 + 4*t^4.5 + 3*t^4.66 + 3*t^5.68 + 6*t^5.84 + 6*t^6. - 4*t^6.16 + 6*t^7.18 + 12*t^7.34 + 8*t^7.5 + 4*t^7.66 + 4*t^8.51 + 12*t^8.68 + 6*t^8.84 - t^4.5/y - t^7.34/y + t^7.66/y + t^8.68/y + (10*t^8.84)/y - t^4.5*y - t^7.34*y + t^7.66*y + t^8.68*y + 10*t^8.84*y | 2*g2*g3*t^2.84 + t^3. + t^3./(g1*g2) + g1*g2*t^3. + t^3./(g1*g3) + g1*g3*t^3. + g2^2*t^4.34 + g2*g3*t^4.34 + g3^2*t^4.34 + t^4.5/(g1*g2) + g1*g2*t^4.5 + t^4.5/(g1*g3) + g1*g3*t^4.5 + g1^2*t^4.66 + t^4.66/(g1^2*g2^2*g3^2) + t^4.66/(g2*g3) + 3*g2^2*g3^2*t^5.68 + (g2*t^5.84)/g1 + (g3*t^5.84)/g1 + 2*g2*g3*t^5.84 + g1*g2^2*g3*t^5.84 + g1*g2*g3^2*t^5.84 - 2*t^6. + t^6./(g1^2*g2^2) + t^6./(g1*g2) + g1*g2*t^6. + g1^2*g2^2*t^6. + t^6./(g1^2*g3^2) + t^6./(g1*g3) + g1*g3*t^6. + g1^2*g3^2*t^6. - (g1*t^6.16)/g2 - t^6.16/(g1*g2*g3^2) - (g1*t^6.16)/g3 - t^6.16/(g1*g2^2*g3) + 2*g2^3*g3*t^7.18 + 2*g2^2*g3^2*t^7.18 + 2*g2*g3^3*t^7.18 + (2*g2*t^7.34)/g1 + g1*g2^3*t^7.34 + (g2^2*t^7.34)/(g1*g3) + (2*g3*t^7.34)/g1 + 2*g1*g2^2*g3*t^7.34 + (g3^2*t^7.34)/(g1*g2) + 2*g1*g2*g3^2*t^7.34 + g1*g3^3*t^7.34 + t^7.5/(g1^2*g2^2) + g1^2*g2^2*t^7.5 + t^7.5/(g1^2*g3^2) + (2*t^7.5)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^7.5 + g1^2*g3^2*t^7.5 + g1^3*g2*t^7.66 + t^7.66/(g1^3*g2^2*g3^3) + t^7.66/(g1^3*g2^3*g3^2) + g1^3*g3*t^7.66 + 4*g2^3*g3^3*t^8.51 + g2^4*t^8.68 + (g2^2*g3*t^8.68)/g1 + g2^3*g3*t^8.68 + (g2*g3^2*t^8.68)/g1 + 4*g2^2*g3^2*t^8.68 + g1*g2^3*g3^2*t^8.68 + g2*g3^3*t^8.68 + g1*g2^2*g3^3*t^8.68 + g3^4*t^8.68 + (2*g2*t^8.84)/g1 - 2*g2^2*t^8.84 + g1*g2^3*t^8.84 + (g2*t^8.84)/(g1^2*g3) + (g2^2*t^8.84)/(g1*g3) + (2*g3*t^8.84)/g1 + (g3*t^8.84)/(g1^2*g2) - 6*g2*g3*t^8.84 + 2*g1*g2^2*g3*t^8.84 + g1^2*g2^3*g3*t^8.84 - 2*g3^2*t^8.84 + (g3^2*t^8.84)/(g1*g2) + 2*g1*g2*g3^2*t^8.84 + g1*g3^3*t^8.84 + g1^2*g2*g3^3*t^8.84 - t^4.5/y - (g2*g3*t^7.34)/y + t^7.66/(g2*g3*y) + (g2^2*g3^2*t^8.68)/y + (2*g2*t^8.84)/(g1*y) + (2*g3*t^8.84)/(g1*y) + (2*g2*g3*t^8.84)/y + (2*g1*g2^2*g3*t^8.84)/y + (2*g1*g2*g3^2*t^8.84)/y - t^4.5*y - g2*g3*t^7.34*y + (t^7.66*y)/(g2*g3) + g2^2*g3^2*t^8.68*y + (2*g2*t^8.84*y)/g1 + (2*g3*t^8.84*y)/g1 + 2*g2*g3*t^8.84*y + 2*g1*g2^2*g3*t^8.84*y + 2*g1*g2*g3^2*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 71 | $\phi_1^4$ + $ M_1q_1q_2$ + $ M_1\phi_1^2$ | 0.6914 | 0.8477 | 0.8157 | [X:[], M:[1.0], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] | 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 177/256, c: 217/256, M1: 1, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
| 72 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.6927 | 0.8507 | 0.8143 | [X:[], M:[0.9724], q:[0.528, 0.4996], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.92 + 3*t^3. + t^3.08 + t^4.34 + 2*t^4.42 + 4*t^4.5 + 2*t^4.58 + t^4.67 + 5*t^5.83 + t^5.91 + 4*t^5.92 + 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 45839 | $\phi_1^4$ + $ M_1q_1q_2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ | 0.6927 | 0.8507 | 0.8143 | [X:[], M:[0.9724], q:[0.4996, 0.528], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.92 + 3*t^3. + t^3.08 + t^4.34 + 2*t^4.42 + 4*t^4.5 + 2*t^4.58 + t^4.67 + 5*t^5.83 + t^5.91 + 4*t^5.92 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 55730 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ q_2q_3$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ | 0.694 | 0.8536 | 0.813 | [X:[], M:[0.9459], q:[0.473, 1.027, 0.973], qb:[0.527, 0.527, 0.473], phi:[0.5]] | 2*t^2.84 + 5*t^3. + 3*t^4.34 + 4*t^4.5 + 3*t^4.66 + 3*t^5.68 + 6*t^5.84 + 6*t^6. - t^4.5/y - t^4.5*y | detail |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 38 | SU2adj1nf2 | $\phi_1^4$ | 0.6914 | 0.8477 | 0.8157 | [X:[], M:[], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] | 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 177/256, c: 217/256, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/2} |