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 |
|---|---|---|---|---|---|---|---|---|---|
| 55729 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ \phi_1q_3^2$ + $ M_1^2$ | 0.8242 | 0.9805 | 0.8406 | [X:[], M:[1.0], q:[0.75, 0.75, 0.75], qb:[0.5833, 0.5833, 0.5833], phi:[0.5]] | [X:[], M:[[0, 0, 0]], q:[[-1, 0, 0], [1, 0, 0], [0, 0, 0]], qb:[[0, -1, -1], [0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 | {a: 211/256, c: 251/256, M1: 1, q1: 3/4, q2: 3/4, q3: 3/4, qb1: 7/12, qb2: 7/12, qb3: 7/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \tilde{q}_1\tilde{q}_3$, $ q_3\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ q_1q_3$, $ q_1q_3$, $ \phi_1\tilde{q}_1\tilde{q}_3$, $ \phi_1\tilde{q}_2^2$ | . | -11 | t^3. + 3*t^3.5 + 9*t^4. + 3*t^4.5 + 6*t^5. - 11*t^6. - 6*t^6.5 + 6*t^7. + 16*t^7.5 + 45*t^8. + 36*t^8.5 - t^4.5/y - t^4.5*y | t^3. + t^3.5/g2 + t^3.5/g3 + g2*g3*t^3.5 + g2*t^4. + (g2*t^4.)/g1 + g1*g2*t^4. + t^4./(g2*g3) + t^4./(g1*g2*g3) + (g1*t^4.)/(g2*g3) + g3*t^4. + (g3*t^4.)/g1 + g1*g3*t^4. + t^4.5 + t^4.5/g1 + g1*t^4.5 + t^5./g2 + g2^2*t^5. + t^5./(g2^2*g3^2) + t^5./g3 + g2*g3*t^5. + g3^2*t^5. - 3*t^6. - t^6./g1 - g1*t^6. - t^6./(g2*g3^2) - t^6./(g2^2*g3) - (g2*t^6.)/g3 - (g3*t^6.)/g2 - g2^2*g3*t^6. - g2*g3^2*t^6. - t^6.5/(g1*g2) - (g1*t^6.5)/g2 - t^6.5/(g1*g3) - (g1*t^6.5)/g3 - (g2*g3*t^6.5)/g1 - g1*g2*g3*t^6.5 + t^7./g2^2 + g2*t^7. + t^7./g3^2 + t^7./(g2*g3) + g3*t^7. + g2^2*g3^2*t^7. + (2*t^7.5)/g1 + 2*g1*t^7.5 + t^7.5/(g1*g2*g3^2) + (g1*t^7.5)/(g2*g3^2) + t^7.5/(g1*g2^2*g3) + (g1*t^7.5)/(g2^2*g3) + (g2*t^7.5)/(g1*g3) + (g1*g2*t^7.5)/g3 + (g3*t^7.5)/(g1*g2) + (g1*g3*t^7.5)/g2 + (g2^2*g3*t^7.5)/g1 + g1*g2^2*g3*t^7.5 + (g2*g3^2*t^7.5)/g1 + g1*g2*g3^2*t^7.5 + (3*t^8.)/g2 + t^8./(g1^2*g2) + (2*t^8.)/(g1*g2) + (2*g1*t^8.)/g2 + (g1^2*t^8.)/g2 + 2*g2^2*t^8. + (g2^2*t^8.)/g1^2 + (g2^2*t^8.)/g1 + g1*g2^2*t^8. + g1^2*g2^2*t^8. + (2*t^8.)/(g2^2*g3^2) + t^8./(g1^2*g2^2*g3^2) + t^8./(g1*g2^2*g3^2) + (g1*t^8.)/(g2^2*g3^2) + (g1^2*t^8.)/(g2^2*g3^2) + (3*t^8.)/g3 + t^8./(g1^2*g3) + (2*t^8.)/(g1*g3) + (2*g1*t^8.)/g3 + (g1^2*t^8.)/g3 + 3*g2*g3*t^8. + (g2*g3*t^8.)/g1^2 + (2*g2*g3*t^8.)/g1 + 2*g1*g2*g3*t^8. + g1^2*g2*g3*t^8. + 2*g3^2*t^8. + (g3^2*t^8.)/g1^2 + (g3^2*t^8.)/g1 + g1*g3^2*t^8. + g1^2*g3^2*t^8. + (2*t^8.5)/g2^2 + 4*g2*t^8.5 + (g2*t^8.5)/g1^2 + (g2*t^8.5)/g1 + g1*g2*t^8.5 + g1^2*g2*t^8.5 + t^8.5/(g2^2*g3^3) + (2*t^8.5)/g3^2 + t^8.5/(g2^3*g3^2) + (4*t^8.5)/(g2*g3) + t^8.5/(g1^2*g2*g3) + t^8.5/(g1*g2*g3) + (g1*t^8.5)/(g2*g3) + (g1^2*t^8.5)/(g2*g3) + (g2^2*t^8.5)/g3 + 4*g3*t^8.5 + (g3*t^8.5)/g1^2 + (g3*t^8.5)/g1 + g1*g3*t^8.5 + g1^2*g3*t^8.5 + g2^3*g3*t^8.5 + (g3^2*t^8.5)/g2 + 2*g2^2*g3^2*t^8.5 + g2*g3^3*t^8.5 - t^4.5/y - t^4.5*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55690 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ \phi_1q_3^2$ | 0.8366 | 1.0194 | 0.8207 | [X:[], M:[0.8786], q:[0.7197, 0.7197, 0.7197], qb:[0.5328, 0.5328, 0.5328], phi:[0.5607]] | t^2.64 + 3*t^3.2 + 9*t^3.76 + 3*t^4.32 + 6*t^4.88 + t^5.27 + 3*t^5.83 - 12*t^6. - t^4.68/y - t^4.68*y | detail |