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 |
|---|---|---|---|---|---|---|---|---|---|
| 4668 | 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_1q_2\tilde{q}_1$ | 0.7156 | 0.9125 | 0.7842 | [X:[], M:[1.0, 0.699, 0.8227, 0.8763, 1.1237, 0.8763, 0.8763, 0.699], q:[0.6505, 0.3495], qb:[0.5268, 0.7742], phi:[0.4247]] | [X:[], M:[[0], [4], [9], [-5], [5], [-5], [-5], [4]], q:[[-2], [2]], qb:[[-7], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_8$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_7$, $ M_1$, $ M_2^2$, $ M_2M_8$, $ M_8^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_3M_8$, $ M_2\phi_1^2$, $ M_8\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_2M_7$, $ M_4M_8$, $ M_6M_8$, $ M_7M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_3M_7$, $ M_1M_8$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \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_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_1M_7$, $ \phi_1\tilde{q}_2^2$ | . | -4 | 2*t^2.1 + t^2.47 + t^2.55 + 3*t^2.63 + t^3. + 3*t^4.19 + 2*t^4.27 + t^4.43 + 2*t^4.57 + 3*t^4.65 + 5*t^4.73 + t^4.81 + t^4.94 + t^5.02 + 5*t^5.1 + 5*t^5.18 + 5*t^5.26 + 2*t^5.55 + t^5.63 + t^5.92 - 4*t^6. + 4*t^6.29 + t^6.37 + 3*t^6.66 + 5*t^6.74 + 8*t^6.82 + 4*t^6.9 + t^6.98 + 2*t^7.03 + 3*t^7.06 + 3*t^7.11 + 9*t^7.19 + 10*t^7.27 + 8*t^7.35 + t^7.4 + 3*t^7.43 + t^7.48 + 3*t^7.57 + 7*t^7.65 + 8*t^7.73 + 8*t^7.81 + 6*t^7.89 + 2*t^8.02 - 8*t^8.1 + t^8.18 - t^8.26 + 6*t^8.39 - 3*t^8.47 - 2*t^8.55 - 14*t^8.63 + 4*t^8.76 + 5*t^8.84 + t^8.87 + 9*t^8.92 - t^4.27/y - (2*t^6.37)/y - t^6.74/y - t^6.82/y - (2*t^6.9)/y + t^7.19/y + (2*t^7.57)/y + (4*t^7.65)/y + (7*t^7.73)/y + t^7.81/y + t^8.02/y + (5*t^8.1)/y + (5*t^8.18)/y + (3*t^8.26)/y - (2*t^8.47)/y + t^8.55/y + (3*t^8.63)/y - (2*t^8.84)/y - (2*t^8.92)/y - t^4.27*y - 2*t^6.37*y - t^6.74*y - t^6.82*y - 2*t^6.9*y + t^7.19*y + 2*t^7.57*y + 4*t^7.65*y + 7*t^7.73*y + t^7.81*y + t^8.02*y + 5*t^8.1*y + 5*t^8.18*y + 3*t^8.26*y - 2*t^8.47*y + t^8.55*y + 3*t^8.63*y - 2*t^8.84*y - 2*t^8.92*y | 2*g1^4*t^2.1 + g1^9*t^2.47 + g1^2*t^2.55 + (3*t^2.63)/g1^5 + t^3. + 3*g1^8*t^4.19 + 2*g1*t^4.27 + t^4.43/g1^13 + 2*g1^13*t^4.57 + 3*g1^6*t^4.65 + (5*t^4.73)/g1 + t^4.81/g1^8 + g1^18*t^4.94 + g1^11*t^5.02 + 5*g1^4*t^5.1 + (5*t^5.18)/g1^3 + (5*t^5.26)/g1^10 + 2*g1^2*t^5.55 + t^5.63/g1^5 + g1^7*t^5.92 - 4*t^6. + 4*g1^12*t^6.29 + g1^5*t^6.37 + 3*g1^17*t^6.66 + 5*g1^10*t^6.74 + 8*g1^3*t^6.82 + (4*t^6.9)/g1^4 + t^6.98/g1^11 + 2*g1^22*t^7.03 + (3*t^7.06)/g1^18 + 3*g1^15*t^7.11 + 9*g1^8*t^7.19 + 10*g1*t^7.27 + (8*t^7.35)/g1^6 + g1^27*t^7.4 + (3*t^7.43)/g1^13 + g1^20*t^7.48 + 3*g1^13*t^7.57 + 7*g1^6*t^7.65 + (8*t^7.73)/g1 + (8*t^7.81)/g1^8 + (6*t^7.89)/g1^15 + 2*g1^11*t^8.02 - 8*g1^4*t^8.1 + t^8.18/g1^3 - t^8.26/g1^10 + 6*g1^16*t^8.39 - 3*g1^9*t^8.47 - 2*g1^2*t^8.55 - (14*t^8.63)/g1^5 + 4*g1^21*t^8.76 + 5*g1^14*t^8.84 + t^8.87/g1^26 + 9*g1^7*t^8.92 - (g1*t^4.27)/y - (2*g1^5*t^6.37)/y - (g1^10*t^6.74)/y - (g1^3*t^6.82)/y - (2*t^6.9)/(g1^4*y) + (g1^8*t^7.19)/y + (2*g1^13*t^7.57)/y + (4*g1^6*t^7.65)/y + (7*t^7.73)/(g1*y) + t^7.81/(g1^8*y) + (g1^11*t^8.02)/y + (5*g1^4*t^8.1)/y + (5*t^8.18)/(g1^3*y) + (3*t^8.26)/(g1^10*y) - (2*g1^9*t^8.47)/y + (g1^2*t^8.55)/y + (3*t^8.63)/(g1^5*y) - (2*g1^14*t^8.84)/y - (2*g1^7*t^8.92)/y - g1*t^4.27*y - 2*g1^5*t^6.37*y - g1^10*t^6.74*y - g1^3*t^6.82*y - (2*t^6.9*y)/g1^4 + g1^8*t^7.19*y + 2*g1^13*t^7.57*y + 4*g1^6*t^7.65*y + (7*t^7.73*y)/g1 + (t^7.81*y)/g1^8 + g1^11*t^8.02*y + 5*g1^4*t^8.1*y + (5*t^8.18*y)/g1^3 + (3*t^8.26*y)/g1^10 - 2*g1^9*t^8.47*y + g1^2*t^8.55*y + (3*t^8.63*y)/g1^5 - 2*g1^14*t^8.84*y - 2*g1^7*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 6211 | $M_1q_1q_2$ + $ 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_1q_2\tilde{q}_1$ + $ M_2M_3$ | 0.6121 | 0.8044 | 0.7609 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.6923, 0.6923, 0.8462], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | 3*t^2.08 + 2*t^2.54 + t^2.77 + 2*t^3. + t^3.46 + t^3.92 + 5*t^4.15 + 2*t^4.38 + 5*t^4.62 + 5*t^4.85 + 7*t^5.08 + 3*t^5.31 + 5*t^5.54 + 3*t^5.77 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 5379/8788, c: 7069/8788, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 9/13, M7: 9/13, M8: 11/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13} |
| 6213 | $M_1q_1q_2$ + $ 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_1q_2\tilde{q}_1$ + $ M_3^2$ | 0.686 | 0.8804 | 0.7791 | [X:[], M:[1.0, 0.7778, 1.0, 0.7778, 1.2222, 0.7778, 0.7778, 0.7778], q:[0.6111, 0.3889], qb:[0.3889, 0.8333], phi:[0.4444]] | 5*t^2.33 + t^2.67 + 2*t^3. + t^3.67 + 3*t^4.33 + 13*t^4.67 + 8*t^5. + 8*t^5.33 + 3*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 889/1296, c: 1141/1296, M1: 1, M2: 7/9, M3: 1, M4: 7/9, M5: 11/9, M6: 7/9, M7: 7/9, M8: 7/9, q1: 11/18, q2: 7/18, qb1: 7/18, qb2: 5/6, phi1: 4/9} |
| 6220 | $M_1q_1q_2$ + $ 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_1q_2\tilde{q}_1$ + $ M_4M_9$ | 0.7051 | 0.8954 | 0.7874 | [X:[], M:[1.0, 0.688, 0.798, 0.89, 1.11, 0.89, 0.89, 0.688, 1.11], q:[0.656, 0.344], qb:[0.546, 0.766], phi:[0.422]] | 2*t^2.06 + t^2.39 + t^2.53 + 2*t^2.67 + t^3. + t^3.33 + 3*t^4.13 + 2*t^4.27 + 2*t^4.46 + t^4.54 + 3*t^4.6 + 3*t^4.73 + t^4.79 + t^4.87 + t^4.93 + 4*t^5.06 + 4*t^5.2 + 2*t^5.34 + 2*t^5.39 + 2*t^5.53 + t^5.72 + 2*t^5.86 - 2*t^6. - t^4.27/y - t^4.27*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 |