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 |
|---|---|---|---|---|---|---|---|---|---|
| 46811 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_2X_2$ | 0.5841 | 0.7369 | 0.7927 | [X:[1.3333, 1.4444], M:[0.6667, 0.5556, 1.0, 0.7778], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | [X:[[0], [0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 757/1296, c: 955/1296, X1: 4/3, X2: 13/9, M1: 2/3, M2: 5/9, M3: 1, M4: 7/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1q_1\tilde{q}_2$, $ X_2$, $ M_4^2$, $ \phi_1q_2^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2^3$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1^2\tilde{q}_2^4$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | . | -2 | 2*t^2.33 + 3*t^2.67 + t^3. + t^3.67 + 2*t^4. + t^4.33 + 3*t^4.67 + 6*t^5. + 9*t^5.33 + t^5.67 - 2*t^6. + 3*t^6.33 + 5*t^6.67 + 4*t^7. + 5*t^7.33 + 13*t^7.67 + 16*t^8. - 3*t^8.33 - 9*t^8.67 - t^4.33/y - t^6.67/y - t^7./y + (2*t^7.67)/y + (7*t^8.)/y + (5*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - t^6.67*y - t^7.*y + 2*t^7.67*y + 7*t^8.*y + 5*t^8.33*y + 3*t^8.67*y | 2*t^2.33 + 3*t^2.67 + t^3. + t^3.67 + 2*t^4. + t^4.33 + 3*t^4.67 + 6*t^5. + 9*t^5.33 + t^5.67 - 2*t^6. + 3*t^6.33 + 5*t^6.67 + 4*t^7. + 5*t^7.33 + 13*t^7.67 + 16*t^8. - 3*t^8.33 - 9*t^8.67 - t^4.33/y - t^6.67/y - t^7./y + (2*t^7.67)/y + (7*t^8.)/y + (5*t^8.33)/y + (3*t^8.67)/y - t^4.33*y - t^6.67*y - t^7.*y + 2*t^7.67*y + 7*t^8.*y + 5*t^8.33*y + 3*t^8.67*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 |
|---|---|---|---|---|---|---|---|---|
| 55148 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_2X_2$ + $ M_5q_2\tilde{q}_1$ | 0.6019 | 0.7685 | 0.7831 | [X:[1.3333, 1.4444], M:[0.6667, 0.5556, 1.0, 0.7778, 0.7778], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | 3*t^2.33 + 3*t^2.67 + t^3. + 2*t^4. + t^4.33 + 6*t^4.67 + 9*t^5. + 10*t^5.33 + t^5.67 - 4*t^6. - t^4.33/y - t^4.33*y | detail | {a: 65/108, c: 83/108, X1: 4/3, X2: 13/9, M1: 2/3, M2: 5/9, M3: 1, M4: 7/9, M5: 7/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46729 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | t^2.04 + t^2.1 + t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^4.09 + 2*t^4.14 + t^4.19 + t^4.38 + t^4.43 + t^4.57 + t^4.62 + 2*t^4.67 + 2*t^4.81 + 3*t^4.86 + 2*t^5.04 + 3*t^5.1 + 2*t^5.28 + t^5.34 + 5*t^5.52 + t^5.58 + 2*t^5.76 + t^5.81 - 2*t^6. - t^4.38/y - t^4.38*y | detail |