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 |
|---|---|---|---|---|---|---|---|---|---|
| 46917 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6543 | 0.8436 | 0.7756 | [X:[], M:[1.1397, 0.75, 0.75, 1.1103, 0.7206], q:[0.75, 0.3603], qb:[0.3897, 0.5], phi:[0.5]] | [X:[], M:[[1], [0], [0], [-1], [-2]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ M_4$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_2M_5$, $ M_3M_5$, $ M_5q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4M_5$, $ M_5q_1q_2$, $ M_2M_4$, $ M_3M_4$, $ M_1M_5$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_5q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ q_1q_2^2\tilde{q}_1$, $ M_1M_2$, $ M_1M_3$, $ M_2q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_5\phi_1q_2^2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$ | . | -3 | t^2.16 + 3*t^2.25 + t^3. + 2*t^3.33 + 2*t^3.42 + t^3.66 + t^4.08 + t^4.17 + t^4.32 + 3*t^4.41 + 7*t^4.5 + t^5.16 + 3*t^5.25 + 2*t^5.49 + 7*t^5.58 + 5*t^5.67 + t^5.82 + 2*t^5.91 - 3*t^6. - t^6.09 + t^6.24 + 3*t^6.33 + 2*t^6.42 + t^6.49 + 3*t^6.57 + 10*t^6.66 + 13*t^6.75 + 2*t^6.84 + 2*t^6.99 - t^7.08 - 3*t^7.17 + 2*t^7.32 + 3*t^7.41 + 5*t^7.5 + 2*t^7.65 + 8*t^7.74 + 13*t^7.83 + 7*t^7.92 + t^7.99 + 2*t^8.07 + t^8.16 - 11*t^8.25 - 3*t^8.34 + t^8.4 + 3*t^8.49 + 5*t^8.58 + t^8.65 + 3*t^8.67 + 3*t^8.74 + 10*t^8.82 + 19*t^8.91 - t^4.5/y - t^6.66/y - (2*t^6.75)/y + t^7.08/y + t^7.17/y + (3*t^7.41)/y + (3*t^7.5)/y - t^7.83/y - t^7.92/y + t^8.16/y + (5*t^8.25)/y + t^8.34/y + (2*t^8.49)/y + (8*t^8.58)/y + (6*t^8.67)/y + t^8.91/y - t^4.5*y - t^6.66*y - 2*t^6.75*y + t^7.08*y + t^7.17*y + 3*t^7.41*y + 3*t^7.5*y - t^7.83*y - t^7.92*y + t^8.16*y + 5*t^8.25*y + t^8.34*y + 2*t^8.49*y + 8*t^8.58*y + 6*t^8.67*y + t^8.91*y | t^2.16/g1^2 + 3*t^2.25 + t^3. + (2*t^3.33)/g1 + 2*g1*t^3.42 + t^3.66/g1^2 + t^4.08/g1 + g1*t^4.17 + t^4.32/g1^4 + (3*t^4.41)/g1^2 + 7*t^4.5 + t^5.16/g1^2 + 3*t^5.25 + (2*t^5.49)/g1^3 + (7*t^5.58)/g1 + 5*g1*t^5.67 + t^5.82/g1^4 + (2*t^5.91)/g1^2 - 3*t^6. - g1^2*t^6.09 + t^6.24/g1^3 + (3*t^6.33)/g1 + 2*g1*t^6.42 + t^6.49/g1^6 + (3*t^6.57)/g1^4 + (10*t^6.66)/g1^2 + 13*t^6.75 + 2*g1^2*t^6.84 + (2*t^6.99)/g1^3 - t^7.08/g1 - 3*g1*t^7.17 + (2*t^7.32)/g1^4 + (3*t^7.41)/g1^2 + 5*t^7.5 + (2*t^7.65)/g1^5 + (8*t^7.74)/g1^3 + (13*t^7.83)/g1 + 7*g1*t^7.92 + t^7.99/g1^6 + (2*t^8.07)/g1^4 + t^8.16/g1^2 - 11*t^8.25 - 3*g1^2*t^8.34 + t^8.4/g1^5 + (3*t^8.49)/g1^3 + (5*t^8.58)/g1 + t^8.65/g1^8 + 3*g1*t^8.67 + (3*t^8.74)/g1^6 + (10*t^8.82)/g1^4 + (19*t^8.91)/g1^2 - t^4.5/y - t^6.66/(g1^2*y) - (2*t^6.75)/y + t^7.08/(g1*y) + (g1*t^7.17)/y + (3*t^7.41)/(g1^2*y) + (3*t^7.5)/y - t^7.83/(g1*y) - (g1*t^7.92)/y + t^8.16/(g1^2*y) + (5*t^8.25)/y + (g1^2*t^8.34)/y + (2*t^8.49)/(g1^3*y) + (8*t^8.58)/(g1*y) + (6*g1*t^8.67)/y + t^8.91/(g1^2*y) - t^4.5*y - (t^6.66*y)/g1^2 - 2*t^6.75*y + (t^7.08*y)/g1 + g1*t^7.17*y + (3*t^7.41*y)/g1^2 + 3*t^7.5*y - (t^7.83*y)/g1 - g1*t^7.92*y + (t^8.16*y)/g1^2 + 5*t^8.25*y + g1^2*t^8.34*y + (2*t^8.49*y)/g1^3 + (8*t^8.58*y)/g1 + 6*g1*t^8.67*y + (t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 50879 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_4M_5$ | 0.6457 | 0.828 | 0.7798 | [X:[], M:[1.0833, 0.75, 0.75, 1.1667, 0.8333], q:[0.75, 0.4167], qb:[0.3333, 0.5], phi:[0.5]] | 3*t^2.25 + t^2.5 + t^3. + 2*t^3.25 + 2*t^3.5 + 2*t^4. + t^4.25 + 7*t^4.5 + 3*t^4.75 + t^5. + 3*t^5.25 + 6*t^5.5 + 6*t^5.75 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 3967/6144, c: 5087/6144, M1: 13/12, M2: 3/4, M3: 3/4, M4: 7/6, M5: 5/6, q1: 3/4, q2: 5/12, qb1: 1/3, qb2: 1/2, phi1: 1/2} |
| 55057 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2^2$ | 0.6727 | 0.8759 | 0.7681 | [X:[], M:[1.125, 0.75, 0.75, 1.125, 0.75, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 5*t^2.25 + t^3. + 4*t^3.38 + 2*t^4.12 + 16*t^4.5 + 5*t^5.25 + 18*t^5.62 - 5*t^6. - t^4.5/y - t^4.5*y | detail | {a: 5511/8192, c: 7175/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 9/8, M5: 3/4, M6: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46633 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.6346 | 0.8065 | 0.7869 | [X:[], M:[1.125, 0.75, 0.75, 1.125], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 3*t^2.25 + t^3. + 4*t^3.38 + 2*t^3.75 + 2*t^4.12 + 7*t^4.5 + 3*t^5.25 + 10*t^5.62 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5199/8192, c: 6607/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 9/8, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |