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 |
|---|---|---|---|---|---|---|---|---|---|
| 2959 | 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_1^2$ + $ M_4\phi_1^2$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_6q_2\tilde{q}_1$ | 0.5974 | 0.7417 | 0.8054 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8, 0.6904], q:[0.6452, 0.3548], qb:[0.9548, 0.4452], phi:[0.4]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [2]], q:[[1], [-1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ \phi_1q_1q_2$, $ X_2$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_1M_6$, $ \phi_1q_1^2$, $ M_6q_1\tilde{q}_2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_6\phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_5\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_6\phi_1\tilde{q}_2^2$ | $M_5\phi_1q_2\tilde{q}_2$, $ \phi_1^3q_2\tilde{q}_2$ | 0 | t^2.07 + 2*t^2.4 + t^3. + t^3.27 + t^3.33 + t^3.6 + t^3.87 + t^4.14 + t^4.2 + 2*t^4.47 + 4*t^4.8 + t^5.07 + t^5.34 + 2*t^5.4 + 2*t^5.67 + t^5.73 + t^5.94 + t^6.21 + 3*t^6.27 + 3*t^6.54 + t^6.6 + t^6.66 + 4*t^6.87 - t^6.93 + 2*t^7.14 + 4*t^7.2 + t^7.41 + 2*t^7.47 - t^7.53 + 3*t^7.74 + t^7.8 + t^8.01 + 2*t^8.07 + t^8.13 + t^8.29 + 3*t^8.34 - t^8.4 + 3*t^8.61 + 2*t^8.67 - 2*t^8.73 + 5*t^8.94 - t^4.2/y - t^6.27/y - t^6.6/y + (2*t^7.47)/y + (2*t^7.8)/y + t^8.07/y + t^8.13/y + (3*t^8.4)/y + (2*t^8.67)/y + (2*t^8.73)/y + t^8.94/y - t^4.2*y - t^6.27*y - t^6.6*y + 2*t^7.47*y + 2*t^7.8*y + t^8.07*y + t^8.13*y + 3*t^8.4*y + 2*t^8.67*y + 2*t^8.73*y + t^8.94*y | g1^2*t^2.07 + 2*t^2.4 + t^3. + g1^2*t^3.27 + t^3.33/g1^2 + t^3.6 + g1^2*t^3.87 + g1^4*t^4.14 + t^4.2 + 2*g1^2*t^4.47 + 4*t^4.8 + g1^2*t^5.07 + g1^4*t^5.34 + 2*t^5.4 + 2*g1^2*t^5.67 + t^5.73/g1^2 + g1^4*t^5.94 + g1^6*t^6.21 + 3*g1^2*t^6.27 + 3*g1^4*t^6.54 + t^6.6 + t^6.66/g1^4 + 4*g1^2*t^6.87 - t^6.93/g1^2 + 2*g1^4*t^7.14 + 4*t^7.2 + g1^6*t^7.41 + 2*g1^2*t^7.47 - t^7.53/g1^2 + 3*g1^4*t^7.74 + t^7.8 + g1^6*t^8.01 + 2*g1^2*t^8.07 + t^8.13/g1^2 + g1^8*t^8.29 + 3*g1^4*t^8.34 - t^8.4 + 3*g1^6*t^8.61 + 2*g1^2*t^8.67 - (2*t^8.73)/g1^2 + 5*g1^4*t^8.94 - t^4.2/y - (g1^2*t^6.27)/y - t^6.6/y + (2*g1^2*t^7.47)/y + (2*t^7.8)/y + (g1^2*t^8.07)/y + t^8.13/(g1^2*y) + (3*t^8.4)/y + (2*g1^2*t^8.67)/y + (2*t^8.73)/(g1^2*y) + (g1^4*t^8.94)/y - t^4.2*y - g1^2*t^6.27*y - t^6.6*y + 2*g1^2*t^7.47*y + 2*t^7.8*y + g1^2*t^8.07*y + (t^8.13*y)/g1^2 + 3*t^8.4*y + 2*g1^2*t^8.67*y + (2*t^8.73*y)/g1^2 + g1^4*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 3547 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_4\phi_1^2$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6178 | 0.7803 | 0.7918 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8, 0.7, 0.7], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | 2*t^2.1 + 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 4*t^4.2 + 4*t^4.5 + 4*t^4.8 + 2*t^5.1 + 5*t^5.4 + 4*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 1977/3200, c: 2497/3200, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, M5: 4/5, M6: 7/10, M7: 7/10, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1927 | 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_1^2$ + $ M_4\phi_1^2$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_1$ + $ M_3X_1$ + $ M_2X_2$ | 0.5768 | 0.7018 | 0.8219 | [X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]] | 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 2307/4000, c: 2807/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, M5: 4/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5} |