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 |
|---|---|---|---|---|---|---|---|---|---|
| 1565 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_4$ | 0.6978 | 0.8558 | 0.8154 | [X:[], M:[0.9244, 1.0378, 1.0, 0.9622, 1.0378, 0.9622], q:[0.5567, 0.5189], qb:[0.4433, 0.5189], phi:[0.4906]] | [X:[], M:[[-8], [4], [0], [-4], [4], [-4]], q:[[6], [2]], qb:[[-6], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_1M_3$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_3\phi_1^2$ | $M_2M_6$ | -2 | t^2.77 + 2*t^2.89 + t^2.94 + t^3. + t^3.11 + t^3.23 + t^4.13 + 2*t^4.36 + t^4.47 + 3*t^4.59 + 2*t^4.7 + t^4.81 + t^5.55 + t^5.66 + t^5.72 + 2*t^5.77 + 2*t^5.83 + 2*t^5.89 + t^5.94 - 2*t^6. + t^6.06 + t^6.17 + t^6.45 + t^6.9 + 2*t^7.02 + t^7.07 + 2*t^7.13 - t^7.19 + 3*t^7.24 + 2*t^7.3 + 4*t^7.36 - t^7.41 + 4*t^7.47 + 2*t^7.53 + 4*t^7.59 - t^7.64 + 4*t^7.7 - t^7.76 + 3*t^7.81 - t^7.87 + 2*t^7.93 + t^8.04 + t^8.26 + t^8.32 + t^8.43 + 3*t^8.49 + 2*t^8.6 + 2*t^8.66 + 5*t^8.72 - t^8.77 + 4*t^8.83 - 6*t^8.89 + 3*t^8.94 - t^4.47/y - t^7.24/y - t^7.41/y + t^7.53/y + t^7.7/y + (2*t^8.66)/y + t^8.72/y + (2*t^8.77)/y + (2*t^8.83)/y + (3*t^8.89)/y + t^8.94/y - t^4.47*y - t^7.24*y - t^7.41*y + t^7.53*y + t^7.7*y + 2*t^8.66*y + t^8.72*y + 2*t^8.77*y + 2*t^8.83*y + 3*t^8.89*y + t^8.94*y | t^2.77/g1^8 + (2*t^2.89)/g1^4 + t^2.94/g1^2 + t^3. + g1^4*t^3.11 + g1^8*t^3.23 + t^4.13/g1^13 + (2*t^4.36)/g1^5 + t^4.47/g1 + 3*g1^3*t^4.59 + 2*g1^7*t^4.7 + g1^11*t^4.81 + t^5.55/g1^16 + t^5.66/g1^12 + t^5.72/g1^10 + (2*t^5.77)/g1^8 + (2*t^5.83)/g1^6 + (2*t^5.89)/g1^4 + t^5.94/g1^2 - 2*t^6. + g1^2*t^6.06 + g1^6*t^6.17 + g1^16*t^6.45 + t^6.9/g1^21 + (2*t^7.02)/g1^17 + t^7.07/g1^15 + (2*t^7.13)/g1^13 - t^7.19/g1^11 + (3*t^7.24)/g1^9 + (2*t^7.3)/g1^7 + (4*t^7.36)/g1^5 - t^7.41/g1^3 + (4*t^7.47)/g1 + 2*g1*t^7.53 + 4*g1^3*t^7.59 - g1^5*t^7.64 + 4*g1^7*t^7.7 - g1^9*t^7.76 + 3*g1^11*t^7.81 - g1^13*t^7.87 + 2*g1^15*t^7.93 + g1^19*t^8.04 + t^8.26/g1^26 + t^8.32/g1^24 + t^8.43/g1^20 + (3*t^8.49)/g1^18 + (2*t^8.6)/g1^14 + (2*t^8.66)/g1^12 + (5*t^8.72)/g1^10 - t^8.77/g1^8 + (4*t^8.83)/g1^6 - (6*t^8.89)/g1^4 + (3*t^8.94)/g1^2 - t^4.47/(g1*y) - t^7.24/(g1^9*y) - t^7.41/(g1^3*y) + (g1*t^7.53)/y + (g1^7*t^7.7)/y + (2*t^8.66)/(g1^12*y) + t^8.72/(g1^10*y) + (2*t^8.77)/(g1^8*y) + (2*t^8.83)/(g1^6*y) + (3*t^8.89)/(g1^4*y) + t^8.94/(g1^2*y) - (t^4.47*y)/g1 - (t^7.24*y)/g1^9 - (t^7.41*y)/g1^3 + g1*t^7.53*y + g1^7*t^7.7*y + (2*t^8.66*y)/g1^12 + (t^8.72*y)/g1^10 + (2*t^8.77*y)/g1^8 + (2*t^8.83*y)/g1^6 + (3*t^8.89*y)/g1^4 + (t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 2677 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_2M_7$ | 0.7018 | 0.8633 | 0.8129 | [X:[], M:[0.9043, 1.0478, 1.0, 0.9522, 1.0478, 0.9522, 0.9522], q:[0.5718, 0.5239], qb:[0.4282, 0.5239], phi:[0.488]] | t^2.71 + 3*t^2.86 + t^2.93 + t^3. + t^3.29 + t^4.03 + 2*t^4.32 + t^4.46 + 3*t^4.61 + 2*t^4.75 + t^4.89 + t^5.43 + 2*t^5.57 + t^5.64 + 5*t^5.71 + 3*t^5.78 + 2*t^5.86 + t^5.93 - 4*t^6. - t^4.46/y - t^4.46*y | detail | |
| 2683 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ M_4M_7$ | 0.6947 | 0.8505 | 0.8168 | [X:[], M:[0.9451, 1.0275, 1.0, 0.9725, 1.0275, 0.9725, 1.0275], q:[0.5412, 0.5137], qb:[0.4588, 0.5137], phi:[0.4931]] | t^2.84 + t^2.92 + t^2.96 + t^3. + 2*t^3.08 + t^3.16 + t^4.23 + 2*t^4.4 + t^4.48 + 3*t^4.56 + 2*t^4.64 + t^4.73 + t^5.67 + t^5.79 + t^5.88 + 2*t^5.92 + t^5.96 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 2682 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ + $ M_2M_4$ + $ \phi_1q_1^2$ + $ M_1X_1$ | 0.5767 | 0.7188 | 0.8024 | [X:[1.3636], M:[0.6364, 1.1818, 1.0, 0.8182, 1.1818, 0.8182], q:[0.7727, 0.5909], qb:[0.2273, 0.5909], phi:[0.4545]] | 2*t^2.45 + 2*t^2.73 + t^3. + t^3.55 + 2*t^3.82 + 2*t^4.09 + 4*t^4.91 + 4*t^5.18 + 5*t^5.45 + t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail | {a: 6141/10648, c: 15307/21296, X1: 15/11, M1: 7/11, M2: 13/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, q1: 17/22, q2: 13/22, qb1: 5/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 990 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_3^2$ + $ M_5M_6$ | 0.7033 | 0.8629 | 0.815 | [X:[], M:[0.9677, 0.9602, 1.0, 0.9279, 1.0721, 0.9279], q:[0.5522, 0.4801], qb:[0.4478, 0.592], phi:[0.482]] | 2*t^2.78 + t^2.88 + t^2.89 + t^2.9 + t^3. + t^3.43 + t^4.13 + t^4.23 + t^4.33 + t^4.45 + t^4.54 + t^4.57 + t^4.66 + t^4.76 + t^4.88 + t^5. + 2*t^5.57 + t^5.66 + 2*t^5.68 + t^5.69 + t^5.76 + t^5.77 + 3*t^5.78 + t^5.8 + t^5.81 + t^5.89 - 3*t^6. - t^4.45/y - t^4.45*y | detail |