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 |
|---|---|---|---|---|---|---|---|---|---|
| 46570 | 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_2^2$ + $ \phi_1q_2^2$ | 0.6611 | 0.8138 | 0.8124 | [X:[], M:[0.8357, 1.0, 1.1643, 0.7714], q:[0.3857, 0.7786], qb:[0.6143, 0.4501], phi:[0.4428]] | [X:[], M:[[3], [0], [-3], [-8]], q:[[-4], [1]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_4$, $ \phi_1q_1q_2$, $ M_4\phi_1^2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_1M_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1q_1^2$ | . | -1 | t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.19 + t^3.49 + t^3.64 + t^3.84 + t^4.03 + t^4.18 + t^4.33 + t^4.52 + t^4.63 + t^4.82 + t^4.97 + 2*t^5.01 + t^5.16 + t^5.31 + t^5.51 + t^5.66 + t^5.7 + t^5.85 + t^5.96 - t^6. + 2*t^6.15 + t^6.3 + t^6.34 + t^6.39 + t^6.49 + t^6.54 + t^6.64 + t^6.69 + 2*t^6.84 + t^6.94 + 2*t^7.03 + t^7.14 + t^7.22 + 2*t^7.29 + t^7.33 + 2*t^7.48 + 2*t^7.52 + t^7.63 + 3*t^7.67 + t^7.71 + t^7.82 + 2*t^7.97 + t^8.01 + t^8.06 + t^8.16 + 2*t^8.21 + t^8.27 - t^8.31 + t^8.36 + t^8.46 - t^8.51 + t^8.55 + t^8.61 + t^8.66 + t^8.81 + t^8.85 + t^8.89 + t^8.96 - t^4.33/y - t^6.64/y - t^6.99/y + t^7.67/y + t^7.82/y + t^7.97/y + t^8.01/y + t^8.16/y + t^8.31/y + (2*t^8.51)/y + t^8.66/y + t^8.7/y + t^8.81/y + t^8.85/y - t^4.33*y - t^6.64*y - t^6.99*y + t^7.67*y + t^7.82*y + t^7.97*y + t^8.01*y + t^8.16*y + t^8.31*y + 2*t^8.51*y + t^8.66*y + t^8.7*y + t^8.81*y + t^8.85*y | t^2.31/g1^8 + g1^3*t^2.51 + t^2.66/g1^4 + t^3. + g1^11*t^3.19 + t^3.49/g1^3 + t^3.64/g1^10 + g1*t^3.84 + g1^12*t^4.03 + g1^5*t^4.18 + t^4.33/g1^2 + g1^9*t^4.52 + t^4.63/g1^16 + t^4.82/g1^5 + t^4.97/g1^12 + 2*g1^6*t^5.01 + t^5.16/g1 + t^5.31/g1^8 + g1^3*t^5.51 + t^5.66/g1^4 + g1^14*t^5.7 + g1^7*t^5.85 + t^5.96/g1^18 - t^6. + (2*t^6.15)/g1^7 + t^6.3/g1^14 + g1^4*t^6.34 + g1^22*t^6.39 + t^6.49/g1^3 + g1^15*t^6.54 + t^6.64/g1^10 + g1^8*t^6.69 + 2*g1*t^6.84 + t^6.94/g1^24 + 2*g1^12*t^7.03 + t^7.14/g1^13 + g1^23*t^7.22 + (2*t^7.29)/g1^20 + t^7.33/g1^2 + (2*t^7.48)/g1^9 + 2*g1^9*t^7.52 + t^7.63/g1^16 + 3*g1^2*t^7.67 + g1^20*t^7.71 + t^7.82/g1^5 + (2*t^7.97)/g1^12 + g1^6*t^8.01 + g1^24*t^8.06 + t^8.16/g1 + 2*g1^17*t^8.21 + t^8.27/g1^26 - t^8.31/g1^8 + g1^10*t^8.36 + t^8.46/g1^15 - g1^3*t^8.51 + g1^21*t^8.55 + t^8.61/g1^22 + t^8.66/g1^4 + t^8.81/g1^11 + g1^7*t^8.85 + g1^25*t^8.89 + t^8.96/g1^18 - t^4.33/(g1^2*y) - t^6.64/(g1^10*y) - t^6.99/(g1^6*y) + (g1^2*t^7.67)/y + t^7.82/(g1^5*y) + t^7.97/(g1^12*y) + (g1^6*t^8.01)/y + t^8.16/(g1*y) + t^8.31/(g1^8*y) + (2*g1^3*t^8.51)/y + t^8.66/(g1^4*y) + (g1^14*t^8.7)/y + t^8.81/(g1^11*y) + (g1^7*t^8.85)/y - (t^4.33*y)/g1^2 - (t^6.64*y)/g1^10 - (t^6.99*y)/g1^6 + g1^2*t^7.67*y + (t^7.82*y)/g1^5 + (t^7.97*y)/g1^12 + g1^6*t^8.01*y + (t^8.16*y)/g1 + (t^8.31*y)/g1^8 + 2*g1^3*t^8.51*y + (t^8.66*y)/g1^4 + g1^14*t^8.7*y + (t^8.81*y)/g1^11 + g1^7*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 47004 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1^2$ | 0.6611 | 0.8139 | 0.8123 | [X:[], M:[0.8333, 1.0, 1.1667, 0.7778], q:[0.3889, 0.7778], qb:[0.6111, 0.4444], phi:[0.4444]] | t^2.33 + t^2.5 + t^2.67 + t^3. + t^3.17 + t^3.5 + t^3.67 + t^3.83 + t^4. + t^4.17 + t^4.33 + t^4.5 + t^4.67 + t^4.83 + 3*t^5. + t^5.17 + t^5.33 + t^5.5 + 2*t^5.67 + t^5.83 - t^4.33/y - t^4.33*y | detail | {a: 3427/5184, c: 4219/5184, M1: 5/6, M2: 1, M3: 7/6, M4: 7/9, q1: 7/18, q2: 7/9, qb1: 11/18, qb2: 4/9, phi1: 4/9} |
| 48195 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_2$ | 0.6812 | 0.8512 | 0.8002 | [X:[], M:[0.8362, 1.0, 1.1638, 0.7701, 0.7213], q:[0.3851, 0.7787], qb:[0.6149, 0.4511], phi:[0.4425]] | t^2.16 + t^2.31 + t^2.51 + t^2.66 + t^3. + t^3.2 + t^3.49 + t^3.64 + t^4.03 + t^4.18 + 2*t^4.33 + t^4.47 + t^4.53 + t^4.62 + t^4.67 + 2*t^4.82 + t^4.97 + 2*t^5.02 + 2*t^5.16 + t^5.31 + t^5.36 + t^5.51 + 2*t^5.66 + t^5.71 + t^5.8 + t^5.85 + t^5.95 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 48299 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ | 0.6791 | 0.8471 | 0.8017 | [X:[], M:[0.8282, 1.0, 1.1718, 0.7914, 0.7608], q:[0.3957, 0.7761], qb:[0.6043, 0.4326], phi:[0.4478]] | t^2.28 + t^2.37 + t^2.48 + t^2.69 + t^3. + t^3.11 + t^3.52 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.45 + t^4.56 + t^4.66 + t^4.75 + t^4.77 + t^4.86 + 3*t^4.97 + t^5.06 + t^5.17 + t^5.28 + t^5.37 + t^5.39 + t^5.48 + t^5.6 + t^5.69 + 2*t^5.8 - t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46314 | 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_2^2$ | 0.7067 | 0.861 | 0.8208 | [X:[], M:[1.0, 1.0, 1.0, 0.8738], q:[0.4369, 0.5631], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.62 + t^2.81 + 3*t^3. + 2*t^3.38 + t^4.03 + 3*t^4.41 + 6*t^4.78 + t^5.24 + t^5.43 + t^5.62 + 3*t^5.81 - 2*t^6. - t^4.41/y - t^4.41*y | detail |