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 |
|---|---|---|---|---|---|---|---|---|---|
| 46788 | 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_4\phi_1\tilde{q}_2^2$ | 0.6877 | 0.8539 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [1], [-2]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_2\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_2M_4$, $ M_2M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -1 | t^2.05 + t^2.31 + t^2.67 + t^2.98 + t^3.02 + t^3.33 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + t^4.72 + t^4.98 + t^5.02 + t^5.07 + t^5.28 + 2*t^5.33 + t^5.38 + t^5.64 + t^5.69 + t^5.95 - t^6. + 2*t^6.05 + t^6.1 + t^6.15 + 2*t^6.31 + t^6.36 + 2*t^6.41 + 2*t^6.62 + 3*t^6.67 + 2*t^6.72 + t^6.77 + t^6.93 + 2*t^6.98 + 2*t^7.02 + 2*t^7.07 + t^7.12 + t^7.28 + 2*t^7.33 + 2*t^7.38 + t^7.43 + t^7.59 + 3*t^7.64 + t^7.69 + t^7.74 + t^7.95 + 3*t^8. + 3*t^8.1 + t^8.15 + t^8.2 + t^8.26 - t^8.31 + 2*t^8.36 + 2*t^8.41 + 2*t^8.46 + t^8.62 + t^8.67 + 3*t^8.72 + 2*t^8.77 + t^8.81 + 2*t^8.93 + t^8.98 - t^4.33/y - t^6.38/y - t^6.64/y + t^7.36/y + t^7.72/y + t^7.98/y + (2*t^8.02)/y + t^8.07/y + (2*t^8.28)/y + t^8.33/y + t^8.38/y - t^8.43/y + (2*t^8.64)/y + t^8.69/y - t^4.33*y - t^6.38*y - t^6.64*y + t^7.36*y + t^7.72*y + t^7.98*y + 2*t^8.02*y + t^8.07*y + 2*t^8.28*y + t^8.33*y + t^8.38*y - t^8.43*y + 2*t^8.64*y + t^8.69*y | t^2.05/g1^2 + g1*t^2.31 + t^2.67 + g1*t^2.98 + t^3.02/g1 + t^3.33 + g1*t^3.64 + 2*t^4. + t^4.05/g1^2 + t^4.1/g1^4 + g1*t^4.31 + (2*t^4.36)/g1 + g1^2*t^4.62 + t^4.67 + t^4.72/g1^2 + g1*t^4.98 + t^5.02/g1 + t^5.07/g1^3 + g1^2*t^5.28 + 2*t^5.33 + t^5.38/g1^2 + g1*t^5.64 + t^5.69/g1 + g1^2*t^5.95 - t^6. + (2*t^6.05)/g1^2 + t^6.1/g1^4 + t^6.15/g1^6 + 2*g1*t^6.31 + t^6.36/g1 + (2*t^6.41)/g1^3 + 2*g1^2*t^6.62 + 3*t^6.67 + (2*t^6.72)/g1^2 + t^6.77/g1^4 + g1^3*t^6.93 + 2*g1*t^6.98 + (2*t^7.02)/g1 + (2*t^7.07)/g1^3 + t^7.12/g1^5 + g1^2*t^7.28 + 2*t^7.33 + (2*t^7.38)/g1^2 + t^7.43/g1^4 + g1^3*t^7.59 + 3*g1*t^7.64 + t^7.69/g1 + t^7.74/g1^3 + g1^2*t^7.95 + 3*t^8. + (3*t^8.1)/g1^4 + t^8.15/g1^6 + t^8.2/g1^8 + g1^3*t^8.26 - g1*t^8.31 + (2*t^8.36)/g1 + (2*t^8.41)/g1^3 + (2*t^8.46)/g1^5 + g1^2*t^8.62 + t^8.67 + (3*t^8.72)/g1^2 + (2*t^8.77)/g1^4 + t^8.81/g1^6 + 2*g1^3*t^8.93 + g1*t^8.98 - t^4.33/y - t^6.38/(g1^2*y) - (g1*t^6.64)/y + t^7.36/(g1*y) + t^7.72/(g1^2*y) + (g1*t^7.98)/y + (2*t^8.02)/(g1*y) + t^8.07/(g1^3*y) + (2*g1^2*t^8.28)/y + t^8.33/y + t^8.38/(g1^2*y) - t^8.43/(g1^4*y) + (2*g1*t^8.64)/y + t^8.69/(g1*y) - t^4.33*y - (t^6.38*y)/g1^2 - g1*t^6.64*y + (t^7.36*y)/g1 + (t^7.72*y)/g1^2 + g1*t^7.98*y + (2*t^8.02*y)/g1 + (t^8.07*y)/g1^3 + 2*g1^2*t^8.28*y + t^8.33*y + (t^8.38*y)/g1^2 - (t^8.43*y)/g1^4 + 2*g1*t^8.64*y + (t^8.69*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 |
|---|---|---|---|---|---|---|---|---|
| 48295 | $M_1q_1q_2$ + $ \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_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ | 0.6977 | 0.8708 | 0.8012 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831, 0.8889], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.05 + t^2.31 + 2*t^2.67 + t^2.98 + t^3.02 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + 2*t^4.72 + 2*t^4.98 + t^5.02 + t^5.07 + t^5.28 + 4*t^5.33 + t^5.64 + 2*t^5.69 + t^5.95 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 46895 | $M_1q_1q_2$ + $ \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_4\phi_1\tilde{q}_2^2$ + $ M_4\phi_1^2$ + $ M_3X_2$ | 0.5463 | 0.6713 | 0.8138 | [X:[1.3333, 1.4444], M:[0.6667, 1.1111, 0.5556, 1.1111], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | t^2.33 + t^2.67 + t^3. + 2*t^3.33 + 2*t^3.67 + 2*t^4. + t^4.33 + t^4.67 + t^5. + 3*t^5.33 + t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 59/108, c: 145/216, X1: 4/3, X2: 13/9, M1: 2/3, M2: 10/9, M3: 5/9, M4: 10/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
| 48127 | $M_1q_1q_2$ + $ \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_4\phi_1\tilde{q}_2^2$ + $ M_4^2$ + $ M_3X_2$ | 0.5968 | 0.7288 | 0.819 | [X:[1.3333, 1.3889], M:[0.6667, 1.1111, 0.6111, 1.0], q:[0.7778, 0.5556], qb:[0.6111, 0.2778], phi:[0.4444]] | t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.33 + t^3.5 + t^3.83 + 2*t^4. + t^4.17 + t^4.67 + t^4.83 + t^5. + t^5.33 + t^5.5 + 2*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 1547/2592, c: 1889/2592, X1: 4/3, X2: 25/18, M1: 2/3, M2: 10/9, M3: 11/18, M4: 1, q1: 7/9, q2: 5/9, qb1: 11/18, qb2: 5/18, phi1: 4/9} |
| 47263 | $M_1q_1q_2$ + $ \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_4\phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ | 0.6777 | 0.8369 | 0.8098 | [X:[1.3333], M:[0.6667, 1.1111, 0.7695, 0.6831, 1.1111], q:[0.7778, 0.5556], qb:[0.4527, 0.4362], phi:[0.4444]] | t^2.05 + t^2.31 + t^2.98 + t^3.02 + 2*t^3.33 + t^3.64 + 2*t^4. + t^4.05 + t^4.1 + t^4.31 + 2*t^4.36 + t^4.62 + t^4.67 + t^5.02 + t^5.07 + t^5.28 + t^5.33 + 2*t^5.38 + t^5.64 + t^5.95 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 47228 | $M_1q_1q_2$ + $ \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_4\phi_1\tilde{q}_2^2$ + $ M_5q_2\tilde{q}_1$ | 0.6892 | 0.8559 | 0.8053 | [X:[1.3333], M:[0.6667, 1.1111, 0.7545, 0.7133, 0.9767], q:[0.7778, 0.5556], qb:[0.4678, 0.4211], phi:[0.4444]] | t^2.14 + t^2.26 + t^2.67 + 2*t^2.93 + t^3.33 + t^3.6 + 2*t^4. + t^4.14 + t^4.26 + t^4.28 + 2*t^4.4 + t^4.53 + t^4.67 + t^4.81 + t^4.93 + 2*t^5.07 + 2*t^5.19 + t^5.33 + t^5.47 + 2*t^5.6 + 3*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |