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 |
|---|---|---|---|---|---|---|---|---|---|
| 4667 | 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1^2$ | 0.6821 | 0.8511 | 0.8014 | [X:[], M:[1.0, 0.7051, 0.8364, 0.8687, 1.1313, 0.8687, 0.8687, 1.1475], q:[0.6475, 0.3525], qb:[0.5161, 0.7788], phi:[0.4263]] | [X:[], M:[[0], [4], [9], [-5], [5], [-5], [-5], [-2]], q:[[-2], [2]], qb:[[-7], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_4$, $ M_6$, $ M_7$, $ M_1$, $ M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_3M_7$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_2M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_1M_7$, $ M_3M_8$, $ \phi_1\tilde{q}_2^2$ | . | -3 | t^2.12 + t^2.51 + 3*t^2.61 + t^3. + t^3.44 + t^3.88 + t^4.23 + 2*t^4.28 + t^4.38 + t^4.62 + t^4.67 + 2*t^4.72 + t^4.77 + t^5.02 + 3*t^5.12 + 2*t^5.16 + 5*t^5.21 + 2*t^5.56 + t^5.61 + 2*t^5.95 - 3*t^6. + 3*t^6.05 + t^6.35 + t^6.44 + 2*t^6.49 + t^6.74 + t^6.79 + t^6.84 + 5*t^6.88 + 3*t^6.98 + t^7.13 + t^7.18 + 2*t^7.23 + 3*t^7.28 + 3*t^7.33 + 3*t^7.38 + t^7.53 + 2*t^7.62 + 2*t^7.67 + 4*t^7.72 + 4*t^7.77 + 7*t^7.82 + 2*t^8.07 - 4*t^8.12 + 4*t^8.16 + t^8.26 + 3*t^8.46 - 4*t^8.51 + 6*t^8.56 - 10*t^8.61 + 6*t^8.65 + t^8.75 + t^8.85 + 2*t^8.95 - t^4.28/y - t^6.39/y - t^6.79/y - (2*t^6.88)/y + t^7.62/y + (2*t^7.67)/y + (3*t^7.72)/y + t^7.77/y + (4*t^8.12)/y + t^8.16/y + (3*t^8.21)/y + t^8.56/y + (3*t^8.61)/y - t^8.9/y + t^8.95/y - t^4.28*y - t^6.39*y - t^6.79*y - 2*t^6.88*y + t^7.62*y + 2*t^7.67*y + 3*t^7.72*y + t^7.77*y + 4*t^8.12*y + t^8.16*y + 3*t^8.21*y + t^8.56*y + 3*t^8.61*y - t^8.9*y + t^8.95*y | g1^4*t^2.12 + g1^9*t^2.51 + (3*t^2.61)/g1^5 + t^3. + t^3.44/g1^2 + t^3.88/g1^4 + g1^8*t^4.23 + 2*g1*t^4.28 + t^4.38/g1^13 + g1^13*t^4.62 + g1^6*t^4.67 + (2*t^4.72)/g1 + t^4.77/g1^8 + g1^18*t^5.02 + 3*g1^4*t^5.12 + (2*t^5.16)/g1^3 + (5*t^5.21)/g1^10 + 2*g1^2*t^5.56 + t^5.61/g1^5 + 2*g1^7*t^5.95 - 3*t^6. + (3*t^6.05)/g1^7 + g1^12*t^6.35 + t^6.44/g1^2 + (2*t^6.49)/g1^9 + g1^17*t^6.74 + g1^10*t^6.79 + g1^3*t^6.84 + (5*t^6.88)/g1^4 + (3*t^6.98)/g1^18 + g1^22*t^7.13 + g1^15*t^7.18 + 2*g1^8*t^7.23 + 3*g1*t^7.28 + (3*t^7.33)/g1^6 + (3*t^7.38)/g1^13 + g1^27*t^7.53 + 2*g1^13*t^7.62 + 2*g1^6*t^7.67 + (4*t^7.72)/g1 + (4*t^7.77)/g1^8 + (7*t^7.82)/g1^15 + 2*g1^11*t^8.07 - 4*g1^4*t^8.12 + (4*t^8.16)/g1^3 + t^8.26/g1^17 + 3*g1^16*t^8.46 - 4*g1^9*t^8.51 + 6*g1^2*t^8.56 - (10*t^8.61)/g1^5 + (6*t^8.65)/g1^12 + t^8.75/g1^26 + g1^21*t^8.85 + 2*g1^7*t^8.95 - (g1*t^4.28)/y - (g1^5*t^6.39)/y - (g1^10*t^6.79)/y - (2*t^6.88)/(g1^4*y) + (g1^13*t^7.62)/y + (2*g1^6*t^7.67)/y + (3*t^7.72)/(g1*y) + t^7.77/(g1^8*y) + (4*g1^4*t^8.12)/y + t^8.16/(g1^3*y) + (3*t^8.21)/(g1^10*y) + (g1^2*t^8.56)/y + (3*t^8.61)/(g1^5*y) - (g1^14*t^8.9)/y + (g1^7*t^8.95)/y - g1*t^4.28*y - g1^5*t^6.39*y - g1^10*t^6.79*y - (2*t^6.88*y)/g1^4 + g1^13*t^7.62*y + 2*g1^6*t^7.67*y + (3*t^7.72*y)/g1 + (t^7.77*y)/g1^8 + 4*g1^4*t^8.12*y + (t^8.16*y)/g1^3 + (3*t^8.21*y)/g1^10 + g1^2*t^8.56*y + (3*t^8.61*y)/g1^5 - g1^14*t^8.9*y + g1^7*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 6199 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1^2$ + $ M_2M_3$ | 0.5916 | 0.7695 | 0.7688 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.6923, 0.6923, 1.0769], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | 3*t^2.08 + t^2.54 + 2*t^3. + t^3.23 + 2*t^3.46 + t^3.92 + 5*t^4.15 + 2*t^4.38 + 2*t^4.62 + 2*t^4.85 + 5*t^5.08 + 4*t^5.31 + 5*t^5.54 + 2*t^5.77 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 5199/8788, c: 27049/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 9/13, M7: 9/13, M8: 14/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13} |
| 6201 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1^2$ + $ M_3^2$ | 0.6582 | 0.8318 | 0.7913 | [X:[], M:[1.0, 0.7778, 1.0, 0.7778, 1.2222, 0.7778, 0.7778, 1.1111], q:[0.6111, 0.3889], qb:[0.3889, 0.8333], phi:[0.4444]] | 4*t^2.33 + 2*t^3. + t^3.33 + 2*t^3.67 + 3*t^4.33 + 8*t^4.67 + 3*t^5. + 5*t^5.33 + 5*t^5.67 + 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 853/1296, c: 539/648, M1: 1, M2: 7/9, M3: 1, M4: 7/9, M5: 11/9, M6: 7/9, M7: 7/9, M8: 10/9, q1: 11/18, q2: 7/18, qb1: 7/18, qb2: 5/6, phi1: 4/9} |
| 6207 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1^2$ + $ M_4M_9$ | 0.6709 | 0.832 | 0.8064 | [X:[], M:[1.0, 0.6936, 0.8106, 0.883, 1.117, 0.883, 0.883, 1.1532, 1.117], q:[0.6532, 0.3468], qb:[0.5362, 0.7702], phi:[0.4234]] | t^2.08 + t^2.43 + 2*t^2.65 + t^3. + t^3.35 + t^3.46 + t^3.92 + t^4.16 + 2*t^4.27 + t^4.49 + t^4.51 + t^4.62 + t^4.73 + t^4.84 + t^4.86 + 2*t^5.08 + 2*t^5.19 + 2*t^5.3 + t^5.43 + 2*t^5.54 + t^5.78 + 2*t^5.89 - t^6. - t^4.27/y - t^4.27*y | detail | |
| 6210 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1^2$ + $ M_9\phi_1q_2\tilde{q}_1$ | 0.7025 | 0.89 | 0.7893 | [X:[], M:[1.0, 0.7029, 0.8316, 0.8713, 1.1287, 0.8713, 0.8713, 1.1485, 0.7029], q:[0.6485, 0.3515], qb:[0.5199, 0.7772], phi:[0.4257]] | 2*t^2.11 + t^2.49 + 3*t^2.61 + t^3. + t^3.45 + 3*t^4.22 + 2*t^4.28 + t^4.4 + 2*t^4.6 + t^4.66 + 5*t^4.72 + t^4.78 + t^4.99 + 4*t^5.11 + 2*t^5.17 + 5*t^5.23 + 3*t^5.55 + t^5.61 + 2*t^5.94 - 4*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2587 | 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ | 0.6951 | 0.8732 | 0.796 | [X:[], M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]] | t^2.1 + t^2.48 + t^2.55 + 3*t^2.62 + t^3. + t^3.9 + t^4.21 + 2*t^4.28 + t^4.42 + t^4.58 + 2*t^4.65 + 2*t^4.72 + t^4.79 + t^4.96 + t^5.03 + 4*t^5.1 + 5*t^5.17 + 5*t^5.24 + 2*t^5.55 + t^5.62 + t^5.93 - 3*t^6. - t^4.28/y - t^4.28*y | detail |