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 |
|---|---|---|---|---|---|---|---|---|---|
| 46617 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_4$ | 0.677 | 0.8306 | 0.8151 | [X:[1.3333], M:[0.6667, 1.1111, 0.7652, 0.8889], q:[0.7778, 0.5556], qb:[0.457, 0.4319], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -2 | t^2.3 + 2*t^2.67 + t^2.96 + t^3.04 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + 2*t^4.96 + t^5.26 + 4*t^5.33 + t^5.63 + t^5.7 + t^5.92 - 2*t^6. + t^6.22 + 2*t^6.3 - t^6.37 + 4*t^6.59 + 3*t^6.67 + 2*t^6.74 + 2*t^6.89 + 3*t^6.96 + 2*t^7.04 + t^7.11 + 2*t^7.26 - t^7.41 + 2*t^7.55 + 4*t^7.63 - t^7.7 + t^7.85 + 3*t^7.92 + 6*t^8. + t^8.08 + t^8.15 + 2*t^8.22 + t^8.37 + t^8.45 + t^8.52 + 2*t^8.59 - 5*t^8.67 + 4*t^8.89 + t^8.96 - t^4.33/y - t^6.63/y - t^7./y + t^7.67/y + (2*t^7.96)/y + t^8.04/y + t^8.26/y + (2*t^8.33)/y + (2*t^8.63)/y + (2*t^8.7)/y - t^4.33*y - t^6.63*y - t^7.*y + t^7.67*y + 2*t^7.96*y + t^8.04*y + t^8.26*y + 2*t^8.33*y + 2*t^8.63*y + 2*t^8.7*y | g1*t^2.3 + 2*t^2.67 + g1*t^2.96 + t^3.04/g1 + g1*t^3.63 + g1^2*t^3.92 + 2*t^4. + t^4.08/g1^2 + g1*t^4.3 + t^4.37/g1 + g1^2*t^4.59 + t^4.67 + 2*g1*t^4.96 + g1^2*t^5.26 + 4*t^5.33 + g1*t^5.63 + t^5.7/g1 + g1^2*t^5.92 - 2*t^6. + g1^3*t^6.22 + 2*g1*t^6.3 - t^6.37/g1 + 4*g1^2*t^6.59 + 3*t^6.67 + (2*t^6.74)/g1^2 + 2*g1^3*t^6.89 + 3*g1*t^6.96 + (2*t^7.04)/g1 + t^7.11/g1^3 + 2*g1^2*t^7.26 - t^7.41/g1^2 + 2*g1^3*t^7.55 + 4*g1*t^7.63 - t^7.7/g1 + g1^4*t^7.85 + 3*g1^2*t^7.92 + 6*t^8. + t^8.08/g1^2 + t^8.15/g1^4 + 2*g1^3*t^8.22 + t^8.37/g1 + t^8.45/g1^3 + g1^4*t^8.52 + 2*g1^2*t^8.59 - 5*t^8.67 + 4*g1^3*t^8.89 + g1*t^8.96 - t^4.33/y - (g1*t^6.63)/y - t^7./y + t^7.67/y + (2*g1*t^7.96)/y + t^8.04/(g1*y) + (g1^2*t^8.26)/y + (2*t^8.33)/y + (2*g1*t^8.63)/y + (2*t^8.7)/(g1*y) - t^4.33*y - g1*t^6.63*y - t^7.*y + t^7.67*y + 2*g1*t^7.96*y + (t^8.04*y)/g1 + g1^2*t^8.26*y + 2*t^8.33*y + 2*g1*t^8.63*y + (2*t^8.7*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47270 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_4$ + $ M_5q_1\tilde{q}_2$ | 0.6944 | 0.8611 | 0.8065 | [X:[1.3333], M:[0.6667, 1.1111, 0.7778, 0.8889, 0.7778], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | 2*t^2.33 + 2*t^2.67 + 2*t^3. + 4*t^4. + 2*t^4.33 + 4*t^4.67 + 4*t^5. + 7*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 25/36, c: 31/36, X1: 4/3, M1: 2/3, M2: 10/9, M3: 7/9, M4: 8/9, M5: 7/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| 46851 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ + $ M_2M_4$ + $ \phi_1^2q_2\tilde{q}_2$ | 0.6458 | 0.7917 | 0.8158 | [X:[1.3333], M:[0.6667, 1.1111, 0.8889, 0.8889], q:[0.7778, 0.5556], qb:[0.3333, 0.5556], phi:[0.4444]] | 4*t^2.67 + 2*t^3.33 + 4*t^4. + 3*t^4.67 + 8*t^5.33 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 31/48, c: 19/24, X1: 4/3, M1: 2/3, M2: 10/9, M3: 8/9, M4: 8/9, q1: 7/9, q2: 5/9, qb1: 1/3, qb2: 5/9, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46306 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_3q_1\tilde{q}_1$ | 0.667 | 0.8136 | 0.8198 | [X:[1.3333], M:[0.6667, 1.1111, 0.7652], q:[0.7778, 0.5556], qb:[0.457, 0.4319], phi:[0.4444]] | t^2.3 + t^2.67 + t^2.96 + t^3.04 + t^3.33 + t^3.63 + t^3.92 + 2*t^4. + t^4.08 + t^4.3 + t^4.37 + t^4.59 + t^4.67 + t^4.96 + t^5.26 + 2*t^5.33 + t^5.63 + t^5.92 - t^6. - t^4.33/y - t^4.33*y | detail |