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 |
|---|---|---|---|---|---|---|---|---|---|
| 2810 | 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_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.5843 | 0.7335 | 0.7966 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7557], q:[0.3064, 0.6936], qb:[0.4079, 0.8779], phi:[0.4286]] | [X:[[0]], M:[[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 |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2^2$, $ \phi_1q_1q_2$, $ M_2M_5$, $ M_5^2$, $ M_2\phi_1^2$, $ X_1$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_2\phi_1q_1^2$, $ M_5\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_1$ | 0 | t^2.14 + t^2.27 + t^2.57 + t^3. + t^3.12 + t^3.3 + t^3.43 + t^3.55 + t^3.86 + t^4.29 + t^4.41 + t^4.53 + 2*t^4.71 + t^4.84 + 2*t^5.14 + 2*t^5.27 + t^5.39 + t^5.45 + 2*t^5.57 + 2*t^5.7 + t^5.82 + 2*t^6.12 + t^6.25 + 2*t^6.43 + 2*t^6.55 + t^6.61 + 2*t^6.68 + t^6.8 + t^6.86 + 2*t^6.98 + 2*t^7.11 - t^7.16 + t^7.29 + 3*t^7.41 + 2*t^7.53 + t^7.66 + 3*t^7.71 + 3*t^7.84 + 2*t^7.96 + t^8.09 - t^8.14 + t^8.27 + 3*t^8.39 - t^8.45 + t^8.52 + t^8.57 + 2*t^8.7 + t^8.75 + 3*t^8.82 - t^8.88 + 2*t^8.94 - t^4.29/y - t^6.55/y - t^6.86/y + t^7.41/y + (2*t^7.71)/y + t^7.84/y + t^8.02/y + t^8.14/y + (2*t^8.27)/y + t^8.39/y + t^8.45/y + (3*t^8.57)/y + (3*t^8.7)/y + t^8.88/y - t^4.29*y - t^6.55*y - t^6.86*y + t^7.41*y + 2*t^7.71*y + t^7.84*y + t^8.02*y + t^8.14*y + 2*t^8.27*y + t^8.39*y + t^8.45*y + 3*t^8.57*y + 3*t^8.7*y + t^8.88*y | t^2.14 + g1^2*t^2.27 + t^2.57 + t^3. + g1^2*t^3.12 + t^3.3/g1^2 + t^3.43 + g1^2*t^3.55 + t^3.86 + t^4.29 + g1^2*t^4.41 + g1^4*t^4.53 + 2*t^4.71 + g1^2*t^4.84 + 2*t^5.14 + 2*g1^2*t^5.27 + g1^4*t^5.39 + t^5.45/g1^2 + 2*t^5.57 + 2*g1^2*t^5.7 + g1^4*t^5.82 + 2*g1^2*t^6.12 + g1^4*t^6.25 + 2*t^6.43 + 2*g1^2*t^6.55 + t^6.61/g1^4 + 2*g1^4*t^6.68 + g1^6*t^6.8 + t^6.86 + 2*g1^2*t^6.98 + 2*g1^4*t^7.11 - t^7.16/g1^2 + t^7.29 + 3*g1^2*t^7.41 + 2*g1^4*t^7.53 + g1^6*t^7.66 + 3*t^7.71 + 3*g1^2*t^7.84 + 2*g1^4*t^7.96 + g1^6*t^8.09 - t^8.14 + g1^2*t^8.27 + 3*g1^4*t^8.39 - t^8.45/g1^2 + g1^6*t^8.52 + t^8.57 + 2*g1^2*t^8.7 + t^8.75/g1^4 + 3*g1^4*t^8.82 - t^8.88/g1^2 + 2*g1^6*t^8.94 - t^4.29/y - (g1^2*t^6.55)/y - t^6.86/y + (g1^2*t^7.41)/y + (2*t^7.71)/y + (g1^2*t^7.84)/y + t^8.02/(g1^2*y) + t^8.14/y + (2*g1^2*t^8.27)/y + (g1^4*t^8.39)/y + t^8.45/(g1^2*y) + (3*t^8.57)/y + (3*g1^2*t^8.7)/y + t^8.88/(g1^2*y) - t^4.29*y - g1^2*t^6.55*y - t^6.86*y + g1^2*t^7.41*y + 2*t^7.71*y + g1^2*t^7.84*y + (t^8.02*y)/g1^2 + t^8.14*y + 2*g1^2*t^8.27*y + g1^4*t^8.39*y + (t^8.45*y)/g1^2 + 3*t^8.57*y + 3*g1^2*t^8.7*y + (t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 3336 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_5q_1\tilde{q}_2$ | 0.5835 | 0.7308 | 0.7984 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.14 + t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.64 + t^3.86 + t^4.29 + t^4.5 + 3*t^4.71 + t^4.93 + 2*t^5.14 + 3*t^5.36 + 3*t^5.57 + 2*t^5.79 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 51237/87808, c: 64173/87808, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| 3337 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6008 | 0.7615 | 0.789 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286, 0.7857, 0.7857], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.14 + 2*t^2.36 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + t^3.86 + t^4.29 + 2*t^4.5 + 5*t^4.71 + 2*t^4.93 + 2*t^5.14 + 4*t^5.36 + 5*t^5.57 + 2*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 26379/43904, c: 33435/43904, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, M5: 11/14, M6: 11/14, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1797 | 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_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.5662 | 0.7001 | 0.8087 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.14 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 2*t^3.64 + t^3.86 + t^4.29 + 2*t^4.71 + 2*t^5.14 + 2*t^5.36 + t^5.57 + 2*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 12429/21952, c: 15369/21952, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |