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 |
|---|---|---|---|---|---|---|---|---|---|
| 798 | 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_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ | 0.7292 | 0.8958 | 0.814 | [X:[], M:[0.8889, 1.0, 0.7778, 1.0, 0.8889], q:[0.5556, 0.5556], qb:[0.4444, 0.6667], phi:[0.4444]] | [X:[], M:[[-2], [0], [-4], [0], [-2]], q:[[1], [1]], qb:[[-1], [3]], phi:[[-1]]] | 1 | {a: 35/48, c: 43/48, M1: 8/9, M2: 1, M3: 7/9, M4: 1, M5: 8/9, q1: 5/9, q2: 5/9, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_2M_3$, $ M_3M_4$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_4$, $ M_2M_5$, $ M_4M_5$, $ M_2\phi_1^2$, $ M_4\phi_1^2$ | $M_2M_4$, $ M_3q_1\tilde{q}_2$ | -2 | t^2.33 + 3*t^2.67 + 2*t^3. + t^3.67 + t^4. + 2*t^4.33 + 5*t^4.67 + 5*t^5. + 8*t^5.33 + 2*t^5.67 - 2*t^6. + 4*t^6.67 + 9*t^7. + 15*t^7.33 + 13*t^7.67 + 10*t^8. - 8*t^8.67 - t^4.33/y - t^6.67/y - (3*t^7.)/y + (3*t^7.67)/y + (4*t^8.)/y + (5*t^8.33)/y + (6*t^8.67)/y - t^4.33*y - t^6.67*y - 3*t^7.*y + 3*t^7.67*y + 4*t^8.*y + 5*t^8.33*y + 6*t^8.67*y | t^2.33/g1^4 + (3*t^2.67)/g1^2 + 2*t^3. + g1^4*t^3.67 + t^4./g1^3 + (2*t^4.33)/g1 + t^4.67/g1^8 + 4*g1*t^4.67 + (3*t^5.)/g1^6 + 2*g1^3*t^5. + (7*t^5.33)/g1^4 + g1^5*t^5.33 + (2*t^5.67)/g1^2 - 2*t^6. + t^6.33/g1^7 - g1^2*t^6.33 + (4*t^6.67)/g1^5 + t^7./g1^12 + (8*t^7.)/g1^3 + (3*t^7.33)/g1^10 + (11*t^7.33)/g1 + g1^8*t^7.33 + (7*t^7.67)/g1^8 + 6*g1*t^7.67 + (11*t^8.)/g1^6 - g1^3*t^8. + t^8.67/g1^11 - (9*t^8.67)/g1^2 - t^4.33/(g1*y) - t^6.67/(g1^5*y) - (3*t^7.)/(g1^3*y) + (3*g1*t^7.67)/y + (3*t^8.)/(g1^6*y) + (g1^3*t^8.)/y + (5*t^8.33)/(g1^4*y) + (6*t^8.67)/(g1^2*y) - (t^4.33*y)/g1 - (t^6.67*y)/g1^5 - (3*t^7.*y)/g1^3 + 3*g1*t^7.67*y + (3*t^8.*y)/g1^6 + g1^3*t^8.*y + (5*t^8.33*y)/g1^4 + (6*t^8.67*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1276 | $M_1q_1q_2$ + $ \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_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ + $ M_3M_6$ | 0.7125 | 0.866 | 0.8228 | [X:[], M:[0.9101, 1.0, 0.8202, 1.0, 0.9101, 1.1798], q:[0.5449, 0.5449], qb:[0.4551, 0.6348], phi:[0.4551]] | 3*t^2.73 + 2*t^3. + 2*t^3.54 + t^4.1 + 2*t^4.37 + 4*t^4.63 + 2*t^4.9 + t^5.17 + 5*t^5.46 + 2*t^5.73 - 3*t^6. - t^4.37/y - t^4.37*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 512 | 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_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 1.0, 0.8355], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |