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 |
|---|---|---|---|---|---|---|---|---|---|
| 46948 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ | 0.6669 | 0.8242 | 0.8092 | [X:[], M:[1.1719, 0.9689, 0.8281, 0.7812, 0.922], q:[0.3906, 0.4375], qb:[0.6405, 0.7812], phi:[0.4375]] | [X:[], M:[[3], [-18], [-3], [2], [-13]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_2^2$ | . | -1 | t^2.34 + t^2.48 + t^2.63 + t^2.77 + t^2.91 + t^3.52 + t^3.66 + t^3.8 + t^3.94 + t^4.27 + t^4.41 + t^4.55 + t^4.69 + t^4.83 + 2*t^4.97 + 2*t^5.11 + t^5.16 + 2*t^5.25 + t^5.39 + 2*t^5.53 + t^5.67 + t^5.81 - t^6. + t^6.14 + 3*t^6.28 + 3*t^6.42 + 2*t^6.56 + t^6.7 + t^6.84 + t^6.89 + 2*t^7.03 + 2*t^7.17 + 2*t^7.31 + 4*t^7.45 + t^7.5 + 4*t^7.59 + 3*t^7.73 + t^7.78 + 4*t^7.88 + 2*t^8.02 + t^8.06 + 3*t^8.16 + 2*t^8.3 - 2*t^8.34 + 2*t^8.44 - t^8.48 + t^8.58 - t^8.63 + t^8.67 + t^8.72 + t^8.81 + t^8.91 - t^4.31/y - t^6.66/y - t^6.94/y - t^7.08/y - t^7.22/y + t^7.41/y + t^7.55/y + t^7.69/y + t^7.83/y + (2*t^7.97)/y + (2*t^8.11)/y + (2*t^8.25)/y + (2*t^8.39)/y + t^8.53/y + t^8.67/y + t^8.86/y - t^4.31*y - t^6.66*y - t^6.94*y - t^7.08*y - t^7.22*y + t^7.41*y + t^7.55*y + t^7.69*y + t^7.83*y + 2*t^7.97*y + 2*t^8.11*y + 2*t^8.25*y + 2*t^8.39*y + t^8.53*y + t^8.67*y + t^8.86*y | g1^2*t^2.34 + t^2.48/g1^3 + t^2.63/g1^8 + t^2.77/g1^13 + t^2.91/g1^18 + g1^3*t^3.52 + t^3.66/g1^2 + t^3.8/g1^7 + t^3.94/g1^12 + g1^19*t^4.27 + g1^14*t^4.41 + g1^9*t^4.55 + g1^4*t^4.69 + t^4.83/g1 + (2*t^4.97)/g1^6 + (2*t^5.11)/g1^11 + g1^30*t^5.16 + (2*t^5.25)/g1^16 + t^5.39/g1^21 + (2*t^5.53)/g1^26 + t^5.67/g1^31 + t^5.81/g1^36 - t^6. + t^6.14/g1^5 + (3*t^6.28)/g1^10 + (3*t^6.42)/g1^15 + (2*t^6.56)/g1^20 + t^6.7/g1^25 + t^6.84/g1^30 + g1^11*t^6.89 + 2*g1^6*t^7.03 + 2*g1*t^7.17 + (2*t^7.31)/g1^4 + (4*t^7.45)/g1^9 + g1^32*t^7.5 + (4*t^7.59)/g1^14 + (3*t^7.73)/g1^19 + g1^22*t^7.78 + (4*t^7.88)/g1^24 + (2*t^8.02)/g1^29 + g1^12*t^8.06 + (3*t^8.16)/g1^34 + (2*t^8.3)/g1^39 - 2*g1^2*t^8.34 + (2*t^8.44)/g1^44 - t^8.48/g1^3 + t^8.58/g1^49 - t^8.63/g1^8 + g1^33*t^8.67 + t^8.72/g1^54 + g1^28*t^8.81 + t^8.91/g1^18 - t^4.31/(g1^4*y) - t^6.66/(g1^2*y) - t^6.94/(g1^12*y) - t^7.08/(g1^17*y) - t^7.22/(g1^22*y) + (g1^14*t^7.41)/y + (g1^9*t^7.55)/y + (g1^4*t^7.69)/y + t^7.83/(g1*y) + (2*t^7.97)/(g1^6*y) + (2*t^8.11)/(g1^11*y) + (2*t^8.25)/(g1^16*y) + (2*t^8.39)/(g1^21*y) + t^8.53/(g1^26*y) + t^8.67/(g1^31*y) + (g1^5*t^8.86)/y - (t^4.31*y)/g1^4 - (t^6.66*y)/g1^2 - (t^6.94*y)/g1^12 - (t^7.08*y)/g1^17 - (t^7.22*y)/g1^22 + g1^14*t^7.41*y + g1^9*t^7.55*y + g1^4*t^7.69*y + (t^7.83*y)/g1 + (2*t^7.97*y)/g1^6 + (2*t^8.11*y)/g1^11 + (2*t^8.25*y)/g1^16 + (2*t^8.39*y)/g1^21 + (t^8.53*y)/g1^26 + (t^8.67*y)/g1^31 + g1^5*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 55221 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_3$ | 0.6445 | 0.7963 | 0.8094 | [X:[], M:[1.1429, 1.1429, 0.8571, 0.7619, 1.0476], q:[0.381, 0.4762], qb:[0.4762, 0.7619], phi:[0.4762]] | t^2.29 + t^2.57 + t^2.86 + t^3.14 + 2*t^3.43 + 2*t^3.71 + 2*t^4. + 3*t^4.29 + t^4.57 + t^4.86 + 2*t^5.14 + 2*t^5.43 + 2*t^5.71 - t^4.43/y - t^4.43*y | detail | {a: 3537/5488, c: 2185/2744, M1: 8/7, M2: 8/7, M3: 6/7, M4: 16/21, M5: 22/21, q1: 8/21, q2: 10/21, qb1: 10/21, qb2: 16/21, phi1: 10/21} |
| 55131 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_5$ | 0.664 | 0.8192 | 0.8105 | [X:[], M:[1.1613, 1.0323, 0.8387, 0.7742, 0.9677], q:[0.3871, 0.4516], qb:[0.5806, 0.7742], phi:[0.4516]] | t^2.32 + t^2.52 + t^2.71 + t^2.9 + t^3.1 + t^3.48 + t^3.68 + t^3.87 + 2*t^4.06 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + 2*t^5.03 + 2*t^5.23 + 2*t^5.42 + t^5.61 + 2*t^5.81 - t^4.35/y - t^4.35*y | detail | {a: 316497/476656, c: 195247/238328, M1: 36/31, M2: 32/31, M3: 26/31, M4: 24/31, M5: 30/31, q1: 12/31, q2: 14/31, qb1: 18/31, qb2: 24/31, phi1: 14/31} |
| 55389 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_2M_6$ | 0.667 | 0.8243 | 0.8092 | [X:[], M:[1.1613, 1.032, 0.8387, 0.7742, 0.9676, 0.968], q:[0.3871, 0.4516], qb:[0.5809, 0.7742], phi:[0.4516]] | t^2.32 + t^2.52 + t^2.71 + 2*t^2.9 + t^3.48 + t^3.68 + t^3.87 + t^4.06 + t^4.07 + t^4.26 + t^4.45 + t^4.65 + 2*t^4.84 + 2*t^5.03 + 3*t^5.23 + 2*t^5.42 + t^5.61 + 3*t^5.81 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 50984 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1q_2$ | 0.6866 | 0.8604 | 0.798 | [X:[], M:[1.1704, 0.9776, 0.8296, 0.7803, 0.9283, 0.7309], q:[0.3901, 0.4395], qb:[0.6323, 0.7803], phi:[0.4395]] | t^2.19 + t^2.34 + t^2.49 + t^2.64 + t^2.78 + t^2.93 + t^3.51 + t^3.66 + t^3.96 + t^4.24 + 2*t^4.39 + 2*t^4.53 + 2*t^4.68 + 2*t^4.83 + 3*t^4.98 + t^5.11 + 3*t^5.13 + 2*t^5.27 + t^5.42 + 2*t^5.57 + t^5.7 + t^5.72 + t^5.85 + t^5.87 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 55345 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_1^2$ | 0.6845 | 0.8553 | 0.8003 | [X:[], M:[1.1712, 0.9729, 0.8288, 0.7808, 0.9249, 0.7808], q:[0.3904, 0.4384], qb:[0.6367, 0.7808], phi:[0.4384]] | 2*t^2.34 + t^2.49 + t^2.63 + t^2.77 + t^2.92 + t^3.51 + t^3.8 + t^3.95 + t^4.25 + t^4.4 + t^4.54 + 3*t^4.68 + 2*t^4.83 + 3*t^4.97 + 3*t^5.12 + t^5.14 + 3*t^5.26 + t^5.41 + 2*t^5.55 + t^5.69 + t^5.84 + t^5.86 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 55418 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ | 0.6877 | 0.8645 | 0.7955 | [X:[], M:[1.1711, 0.9733, 0.8289, 0.7807, 0.9252, 0.6844], q:[0.3904, 0.4385], qb:[0.6363, 0.7807], phi:[0.4385]] | t^2.05 + t^2.34 + t^2.49 + t^2.63 + t^2.78 + t^2.92 + t^3.51 + t^3.66 + t^3.8 + t^4.11 + t^4.25 + 2*t^4.4 + 2*t^4.54 + 2*t^4.68 + 2*t^4.83 + 3*t^4.97 + 2*t^5.12 + t^5.13 + 2*t^5.26 + t^5.41 + 2*t^5.55 + t^5.57 + t^5.7 + t^5.71 + t^5.84 + t^5.86 - t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46560 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ | 0.6698 | 0.8297 | 0.8073 | [X:[], M:[1.1533, 0.9823, 0.8467, 0.7363, 0.8719], q:[0.3682, 0.4785], qb:[0.6495, 0.7852], phi:[0.4297]] | t^2.21 + t^2.54 + t^2.58 + t^2.62 + t^2.95 + t^3.46 + t^3.5 + t^3.83 + t^4.16 + t^4.3 + t^4.34 + t^4.42 + t^4.67 + t^4.75 + t^4.79 + t^4.82 + t^5.08 + t^5.12 + 2*t^5.16 + 2*t^5.19 + t^5.23 + t^5.52 + t^5.56 + t^5.71 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail |