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 |
|---|---|---|---|---|---|---|---|---|---|
| 55175 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_1M_6$ | 0.6073 | 0.7772 | 0.7814 | [X:[], M:[1.2563, 0.95, 0.7437, 1.0, 1.025, 0.7437], q:[0.5, 0.2437], qb:[0.55, 0.7563], phi:[0.4875]] | [X:[], M:[[1], [-8], [-1], [0], [4], [-1]], q:[[0], [-1]], qb:[[8], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ q_2\tilde{q}_1$, $ M_2$, $ \phi_1q_2^2$, $ M_4$, $ M_5$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_3\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ M_3M_4$, $ M_4M_6$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5M_6$, $ \phi_1q_2^3\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_2^2$, $ M_2\phi_1q_2^2$, $ M_2M_4$, $ \phi_1^2q_2^4$, $ M_2M_5$, $ M_6\phi_1q_1q_2$, $ M_4\phi_1q_2^2$ | $M_5\phi_1q_2^2$ | -2 | 2*t^2.23 + t^2.38 + t^2.85 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.84 + t^3.92 + 4*t^4.46 + 3*t^4.61 + 2*t^4.76 + t^5.08 + 2*t^5.16 + 2*t^5.23 + 3*t^5.31 + t^5.38 + t^5.46 + t^5.7 + t^5.77 + t^5.85 + 3*t^5.92 - 2*t^6. + 3*t^6.08 + t^6.15 + t^6.23 + t^6.3 + 5*t^6.69 + 5*t^6.84 + 5*t^6.99 + 2*t^7.14 + t^7.31 + 4*t^7.39 + t^7.46 + 4*t^7.54 + 2*t^7.61 + 4*t^7.69 + 2*t^7.76 + 2*t^7.84 + t^7.93 + t^8.01 + t^8.08 + 5*t^8.16 - 5*t^8.23 + 5*t^8.31 - 2*t^8.38 + 3*t^8.46 + t^8.53 + t^8.55 + 2*t^8.61 + t^8.62 + 2*t^8.68 + 2*t^8.7 + t^8.77 - t^8.85 + 3*t^8.92 - t^4.46/y - t^6.69/y - t^7.31/y + t^7.46/y + (3*t^7.61)/y + (2*t^8.08)/y + (2*t^8.16)/y + (4*t^8.23)/y + (3*t^8.31)/y + t^8.38/y + t^8.46/y + t^8.77/y + t^8.85/y + (3*t^8.92)/y - t^4.46*y - t^6.69*y - t^7.31*y + t^7.46*y + 3*t^7.61*y + 2*t^8.08*y + 2*t^8.16*y + 4*t^8.23*y + 3*t^8.31*y + t^8.38*y + t^8.46*y + t^8.77*y + t^8.85*y + 3*t^8.92*y | (2*t^2.23)/g1 + g1^7*t^2.38 + t^2.85/g1^8 + t^2.92/g1^4 + t^3. + g1^4*t^3.08 + t^3.69/g1^3 + g1^5*t^3.84 + g1^9*t^3.92 + (4*t^4.46)/g1^2 + 3*g1^6*t^4.61 + 2*g1^14*t^4.76 + t^5.08/g1^9 + (2*t^5.16)/g1^5 + (2*t^5.23)/g1 + 3*g1^3*t^5.31 + g1^7*t^5.38 + g1^11*t^5.46 + t^5.7/g1^16 + t^5.77/g1^12 + t^5.85/g1^8 + (3*t^5.92)/g1^4 - 2*t^6. + 3*g1^4*t^6.08 + g1^8*t^6.15 + g1^12*t^6.23 + g1^16*t^6.3 + (5*t^6.69)/g1^3 + 5*g1^5*t^6.84 + 5*g1^13*t^6.99 + 2*g1^21*t^7.14 + t^7.31/g1^10 + (4*t^7.39)/g1^6 + t^7.46/g1^2 + 4*g1^2*t^7.54 + 2*g1^6*t^7.61 + 4*g1^10*t^7.69 + 2*g1^14*t^7.76 + 2*g1^18*t^7.84 + t^7.93/g1^17 + t^8.01/g1^13 + t^8.08/g1^9 + (5*t^8.16)/g1^5 - (5*t^8.23)/g1 + 5*g1^3*t^8.31 - 2*g1^7*t^8.38 + 3*g1^11*t^8.46 + g1^15*t^8.53 + t^8.55/g1^24 + 2*g1^19*t^8.61 + t^8.62/g1^20 + 2*g1^23*t^8.68 + (2*t^8.7)/g1^16 + t^8.77/g1^12 - t^8.85/g1^8 + (3*t^8.92)/g1^4 - t^4.46/(g1^2*y) - t^6.69/(g1^3*y) - t^7.31/(g1^10*y) + t^7.46/(g1^2*y) + (3*g1^6*t^7.61)/y + (2*t^8.08)/(g1^9*y) + (2*t^8.16)/(g1^5*y) + (4*t^8.23)/(g1*y) + (3*g1^3*t^8.31)/y + (g1^7*t^8.38)/y + (g1^11*t^8.46)/y + t^8.77/(g1^12*y) + t^8.85/(g1^8*y) + (3*t^8.92)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^6.69*y)/g1^3 - (t^7.31*y)/g1^10 + (t^7.46*y)/g1^2 + 3*g1^6*t^7.61*y + (2*t^8.08*y)/g1^9 + (2*t^8.16*y)/g1^5 + (4*t^8.23*y)/g1 + 3*g1^3*t^8.31*y + g1^7*t^8.38*y + g1^11*t^8.46*y + (t^8.77*y)/g1^12 + (t^8.85*y)/g1^8 + (3*t^8.92*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56843 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_1M_6$ + $ M_5q_2\tilde{q}_1$ | 0.5922 | 0.757 | 0.7823 | [X:[], M:[1.2727, 0.8182, 0.7273, 1.0, 1.0909, 0.7273], q:[0.5, 0.2273], qb:[0.6818, 0.7727], phi:[0.4545]] | 2*t^2.18 + t^2.45 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + t^4.09 + 5*t^4.36 + t^4.64 + 6*t^4.91 + 3*t^5.18 + 6*t^5.45 + 4*t^5.73 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 3153/5324, c: 16121/21296, M1: 14/11, M2: 9/11, M3: 8/11, M4: 1, M5: 12/11, M6: 8/11, q1: 1/2, q2: 5/22, qb1: 15/22, qb2: 17/22, phi1: 5/11} |
| 56847 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_1M_6$ + $ M_7\phi_1q_1q_2$ | 0.6256 | 0.8106 | 0.7718 | [X:[], M:[1.255, 0.9597, 0.745, 1.0, 1.0202, 0.745, 0.7651], q:[0.5, 0.245], qb:[0.5403, 0.755], phi:[0.4899]] | 2*t^2.23 + t^2.3 + t^2.36 + t^2.88 + t^2.94 + t^3. + t^3.06 + t^3.83 + t^3.89 + 4*t^4.47 + 2*t^4.53 + 4*t^4.59 + t^4.65 + 2*t^4.71 + t^5.11 + 3*t^5.17 + 3*t^5.23 + 4*t^5.3 + 2*t^5.36 + t^5.42 + t^5.76 + t^5.82 + t^5.88 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 56848 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_1M_6$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6275 | 0.815 | 0.7699 | [X:[], M:[1.2573, 0.9415, 0.7427, 1.0, 1.0292, 0.7427, 0.7134], q:[0.5, 0.2427], qb:[0.5585, 0.7573], phi:[0.4854]] | t^2.14 + 2*t^2.23 + t^2.4 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.68 + t^3.95 + t^4.28 + 2*t^4.37 + 4*t^4.46 + t^4.54 + 3*t^4.63 + 2*t^4.81 + t^4.96 + 2*t^5.05 + 3*t^5.14 + 3*t^5.23 + 3*t^5.32 + t^5.4 + t^5.49 + t^5.65 + t^5.74 + 2*t^5.82 + 3*t^5.91 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 56845 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.6055 | 0.7757 | 0.7806 | [X:[], M:[1.2531, 0.9755, 0.7469, 1.0, 1.0123, 0.7469, 1.0123], q:[0.5, 0.2469], qb:[0.5245, 0.7531], phi:[0.4939]] | 2*t^2.24 + t^2.31 + t^2.93 + t^3. + 2*t^3.04 + t^3.72 + t^3.8 + t^3.83 + 4*t^4.48 + 3*t^4.56 + 2*t^4.63 + t^5.17 + 2*t^5.24 + 4*t^5.28 + t^5.31 + 2*t^5.35 + t^5.85 + 3*t^5.96 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
| 56849 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ + $ M_1M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.628 | 0.8172 | 0.7684 | [X:[], M:[1.2571, 0.9433, 0.7429, 1.0, 1.0283, 0.7429, 0.6862], q:[0.5, 0.2429], qb:[0.5567, 0.7571], phi:[0.4858]] | t^2.06 + 2*t^2.23 + t^2.4 + t^2.83 + t^2.91 + t^3. + t^3.09 + t^3.69 + t^3.86 + t^4.12 + 2*t^4.29 + 5*t^4.46 + 3*t^4.63 + 2*t^4.8 + t^4.89 + t^4.97 + 2*t^5.06 + 3*t^5.14 + 2*t^5.23 + 3*t^5.31 + t^5.4 + t^5.48 + t^5.66 + 2*t^5.74 + t^5.83 + 4*t^5.91 - 2*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46925 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_4^2$ | 0.588 | 0.742 | 0.7924 | [X:[], M:[1.2559, 0.9526, 0.7441, 1.0, 1.0237], q:[0.5, 0.2441], qb:[0.5474, 0.7559], phi:[0.4882]] | t^2.23 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.7 + t^3.77 + t^3.84 + t^3.91 + 2*t^4.46 + 2*t^4.61 + 2*t^4.75 + t^5.16 + t^5.23 + 2*t^5.3 + t^5.37 + t^5.45 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail |