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 |
|---|---|---|---|---|---|---|---|---|---|
| 2110 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ + $ M_4M_7$ + $ \phi_1^4$ + $ \phi_1\tilde{q}_1^2$ | 0.6719 | 0.8594 | 0.7818 | [X:[], M:[1.1667, 0.8333, 0.8333, 1.1667, 0.8333, 0.8333, 0.8333], q:[0.4167, 0.4167], qb:[0.75, 0.4167], phi:[0.5]] | [X:[], M:[[0, 1], [0, -1], [1, 1], [-1, -1], [-1, 0], [0, -1], [1, 1]], q:[[-1, -1], [1, 0]], qb:[[0, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 43/64, c: 55/64, M1: 7/6, M2: 5/6, M3: 5/6, M4: 7/6, M5: 5/6, M6: 5/6, M7: 5/6, q1: 5/12, q2: 5/12, qb1: 3/4, qb2: 5/12, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ M_3$, $ M_7$, $ \phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_3$, $ M_3M_6$, $ M_2M_7$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_2M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_3M_5$, $ M_5M_7$, $ M_3q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ M_5\phi_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_3\phi_1^2$, $ M_7\phi_1^2$ | . | -9 | 6*t^2.5 + t^3. + 6*t^4. + 21*t^5. + 6*t^5.5 - 9*t^6. + 30*t^6.5 - 3*t^7. + 40*t^7.5 + 33*t^8. - 54*t^8.5 - t^4.5/y - (3*t^7.)/y + (18*t^8.)/y + (6*t^8.5)/y - t^4.5*y - 3*t^7.*y + 18*t^8.*y + 6*t^8.5*y | (2*t^2.5)/g1 + (2*t^2.5)/g2 + 2*g1*g2*t^2.5 + t^3. + t^4./g1 + g1^2*t^4. + t^4./(g1^2*g2^2) + t^4./g2 + g1*g2*t^4. + g2^2*t^4. + (3*t^5.)/g1^2 + 4*g1*t^5. + (3*t^5.)/g2^2 + (4*t^5.)/(g1*g2) + 4*g2*t^5. + 3*g1^2*g2^2*t^5. + (2*t^5.5)/g1 + (2*t^5.5)/g2 + 2*g1*g2*t^5.5 - 3*t^6. - t^6./(g1*g2^2) - t^6./(g1^2*g2) - (g1*t^6.)/g2 - (g2*t^6.)/g1 - g1^2*g2*t^6. - g1*g2^2*t^6. + (2*t^6.5)/g1^2 + 4*g1*t^6.5 + (2*t^6.5)/(g1^2*g2^3) + (2*t^6.5)/g2^2 + (2*t^6.5)/(g1^3*g2^2) + (4*t^6.5)/(g1*g2) + (2*g1^2*t^6.5)/g2 + 4*g2*t^6.5 + 2*g1^3*g2*t^6.5 + (2*g2^2*t^6.5)/g1 + 2*g1^2*g2^2*t^6.5 + 2*g1*g2^3*t^6.5 - t^7./g1 - t^7./g2 - g1*g2*t^7. + 4*t^7.5 + (4*t^7.5)/g1^3 + (4*t^7.5)/g2^3 + (4*t^7.5)/(g1*g2^2) + (4*t^7.5)/(g1^2*g2) + (4*g1*t^7.5)/g2 + (4*g2*t^7.5)/g1 + 4*g1^2*g2*t^7.5 + 4*g1*g2^2*t^7.5 + 4*g1^3*g2^3*t^7.5 + (4*t^8.)/g1^2 + 4*g1*t^8. + g1^4*t^8. + t^8./(g1^4*g2^4) + t^8./(g1^2*g2^3) + (4*t^8.)/g2^2 + t^8./(g1^3*g2^2) + (4*t^8.)/(g1*g2) + (g1^2*t^8.)/g2 + 4*g2*t^8. + g1^3*g2*t^8. + (g2^2*t^8.)/g1 + 4*g1^2*g2^2*t^8. + g1*g2^3*t^8. + g2^4*t^8. - (10*t^8.5)/g1 - 4*g1^2*t^8.5 - (2*t^8.5)/(g1*g2^3) - (4*t^8.5)/(g1^2*g2^2) - (2*g1*t^8.5)/g2^2 - (10*t^8.5)/g2 - (2*t^8.5)/(g1^3*g2) - (2*g2*t^8.5)/g1^2 - 10*g1*g2*t^8.5 - 4*g2^2*t^8.5 - 2*g1^3*g2^2*t^8.5 - 2*g1^2*g2^3*t^8.5 - t^4.5/y - t^7./(g1*y) - t^7./(g2*y) - (g1*g2*t^7.)/y + t^8./(g1^2*y) + (5*g1*t^8.)/y + t^8./(g2^2*y) + (5*t^8.)/(g1*g2*y) + (5*g2*t^8.)/y + (g1^2*g2^2*t^8.)/y + (2*t^8.5)/(g1*y) + (2*t^8.5)/(g2*y) + (2*g1*g2*t^8.5)/y - t^4.5*y - (t^7.*y)/g1 - (t^7.*y)/g2 - g1*g2*t^7.*y + (t^8.*y)/g1^2 + 5*g1*t^8.*y + (t^8.*y)/g2^2 + (5*t^8.*y)/(g1*g2) + 5*g2*t^8.*y + g1^2*g2^2*t^8.*y + (2*t^8.5*y)/g1 + (2*t^8.5*y)/g2 + 2*g1*g2*t^8.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1001 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_6$ + $ M_4M_7$ + $ \phi_1^4$ | 0.6994 | 0.8663 | 0.8073 | [X:[], M:[1.0572, 0.9428, 0.9428, 1.0572, 0.9428, 0.9428, 0.9428], q:[0.4714, 0.4714], qb:[0.5858, 0.4714], phi:[0.5]] | 6*t^2.83 + t^3. + 6*t^4.33 + 3*t^4.67 + t^5.01 + 18*t^5.66 + 6*t^5.83 - 10*t^6. - t^4.5/y - t^4.5*y | detail |