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 |
|---|---|---|---|---|---|---|---|---|---|
| 3883 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ | 0.6284 | 0.8016 | 0.7839 | [X:[], M:[0.6871, 0.9516, 0.8678, 0.771, 1.229, 0.771, 1.0], q:[0.8371, 0.4758], qb:[0.2952, 0.7533], phi:[0.4097]] | [X:[], M:[[18], [-10], [14], [-6], [6], [-6], [0]], q:[[-13], [-5]], qb:[[-1], [11]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_7$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_4M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_7\phi_1^2$, $ M_3M_7$, $ M_2^2$, $ M_2M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$ | $\phi_1^3q_2\tilde{q}_1$ | -1 | t^2.06 + 2*t^2.31 + t^2.46 + t^2.6 + t^2.85 + t^3. + t^3.54 + t^4.08 + t^4.12 + 2*t^4.37 + t^4.52 + 3*t^4.63 + t^4.66 + 3*t^4.77 + 4*t^4.92 + 2*t^5.06 + 2*t^5.17 + t^5.21 + 3*t^5.31 + t^5.46 + t^5.6 + t^5.71 + 2*t^5.85 - t^6. + t^6.15 + t^6.18 + 2*t^6.4 + 2*t^6.44 + t^6.58 + 2*t^6.69 + t^6.73 + 2*t^6.83 + 4*t^6.94 + 4*t^6.98 + 3*t^7.08 + 2*t^7.12 + 5*t^7.23 + t^7.27 + 6*t^7.37 + 2*t^7.48 + 4*t^7.52 + 5*t^7.63 + 2*t^7.66 + 3*t^7.77 + t^7.81 + 2*t^7.92 + 2*t^8.02 - t^8.06 + 4*t^8.17 + t^8.21 + t^8.25 - 3*t^8.31 - t^8.46 + 2*t^8.5 + t^8.56 - 3*t^8.6 + t^8.64 + 2*t^8.71 + 2*t^8.75 + t^8.79 - 3*t^8.85 + 2*t^8.89 - t^4.23/y - t^6.29/y - t^6.54/y - t^6.69/y - t^6.83/y - t^7.08/y + (3*t^7.37)/y + t^7.52/y + (2*t^7.63)/y + t^7.66/y + (3*t^7.77)/y + (4*t^7.92)/y + (2*t^8.06)/y + (3*t^8.17)/y + (3*t^8.31)/y - t^8.35/y + (2*t^8.46)/y + t^8.6/y - t^8.75/y + (2*t^8.85)/y - t^8.89/y - t^4.23*y - t^6.29*y - t^6.54*y - t^6.69*y - t^6.83*y - t^7.08*y + 3*t^7.37*y + t^7.52*y + 2*t^7.63*y + t^7.66*y + 3*t^7.77*y + 4*t^7.92*y + 2*t^8.06*y + 3*t^8.17*y + 3*t^8.31*y - t^8.35*y + 2*t^8.46*y + t^8.6*y - t^8.75*y + 2*t^8.85*y - t^8.89*y | g1^18*t^2.06 + (2*t^2.31)/g1^6 + g1^4*t^2.46 + g1^14*t^2.6 + t^2.85/g1^10 + t^3. + t^3.54/g1^4 + t^4.08/g1^8 + g1^36*t^4.12 + 2*g1^12*t^4.37 + g1^22*t^4.52 + (3*t^4.63)/g1^12 + g1^32*t^4.66 + (3*t^4.77)/g1^2 + 4*g1^8*t^4.92 + 2*g1^18*t^5.06 + (2*t^5.17)/g1^16 + g1^28*t^5.21 + (3*t^5.31)/g1^6 + g1^4*t^5.46 + g1^14*t^5.6 + t^5.71/g1^20 + (2*t^5.85)/g1^10 - t^6. + g1^10*t^6.15 + g1^54*t^6.18 + (2*t^6.4)/g1^14 + 2*g1^30*t^6.44 + g1^40*t^6.58 + 2*g1^6*t^6.69 + g1^50*t^6.73 + 2*g1^16*t^6.83 + (4*t^6.94)/g1^18 + 4*g1^26*t^6.98 + (3*t^7.08)/g1^8 + 2*g1^36*t^7.12 + 5*g1^2*t^7.23 + g1^46*t^7.27 + 6*g1^12*t^7.37 + (2*t^7.48)/g1^22 + 4*g1^22*t^7.52 + (5*t^7.63)/g1^12 + 2*g1^32*t^7.66 + (3*t^7.77)/g1^2 + g1^42*t^7.81 + 2*g1^8*t^7.92 + (2*t^8.02)/g1^26 - g1^18*t^8.06 + (4*t^8.17)/g1^16 + g1^28*t^8.21 + g1^72*t^8.25 - (3*t^8.31)/g1^6 - g1^4*t^8.46 + 2*g1^48*t^8.5 + t^8.56/g1^30 - 3*g1^14*t^8.6 + g1^58*t^8.64 + (2*t^8.71)/g1^20 + 2*g1^24*t^8.75 + g1^68*t^8.79 - (3*t^8.85)/g1^10 + 2*g1^34*t^8.89 - (g1^2*t^4.23)/y - (g1^20*t^6.29)/y - t^6.54/(g1^4*y) - (g1^6*t^6.69)/y - (g1^16*t^6.83)/y - t^7.08/(g1^8*y) + (3*g1^12*t^7.37)/y + (g1^22*t^7.52)/y + (2*t^7.63)/(g1^12*y) + (g1^32*t^7.66)/y + (3*t^7.77)/(g1^2*y) + (4*g1^8*t^7.92)/y + (2*g1^18*t^8.06)/y + (3*t^8.17)/(g1^16*y) + (3*t^8.31)/(g1^6*y) - (g1^38*t^8.35)/y + (2*g1^4*t^8.46)/y + (g1^14*t^8.6)/y - (g1^24*t^8.75)/y + (2*t^8.85)/(g1^10*y) - (g1^34*t^8.89)/y - g1^2*t^4.23*y - g1^20*t^6.29*y - (t^6.54*y)/g1^4 - g1^6*t^6.69*y - g1^16*t^6.83*y - (t^7.08*y)/g1^8 + 3*g1^12*t^7.37*y + g1^22*t^7.52*y + (2*t^7.63*y)/g1^12 + g1^32*t^7.66*y + (3*t^7.77*y)/g1^2 + 4*g1^8*t^7.92*y + 2*g1^18*t^8.06*y + (3*t^8.17*y)/g1^16 + (3*t^8.31*y)/g1^6 - g1^38*t^8.35*y + 2*g1^4*t^8.46*y + g1^14*t^8.6*y - g1^24*t^8.75*y + (2*t^8.85*y)/g1^10 - g1^34*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 5477 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_1M_3$ | 0.5852 | 0.7532 | 0.777 | [X:[], M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.6875, 1.0], q:[0.6562, 0.4062], qb:[0.2812, 0.9062], phi:[0.4375]] | 2*t^2.06 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.75 + 3*t^4.12 + 2*t^4.5 + 3*t^4.69 + 3*t^4.88 + 3*t^5.06 + 4*t^5.25 + 3*t^5.44 + 2*t^5.62 + 4*t^5.81 - t^4.31/y - t^4.31*y | detail | {a: 76701/131072, c: 98717/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16} |
| 5478 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_7^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6438 | 0.8286 | 0.777 | [X:[], M:[0.6775, 0.9569, 0.8603, 0.7742, 1.2258, 0.7742, 1.0, 0.8172], q:[0.844, 0.4785], qb:[0.2957, 0.7474], phi:[0.4086]] | t^2.03 + 2*t^2.32 + 2*t^2.45 + t^2.58 + t^2.87 + t^3. + t^4.07 + t^4.1 + 2*t^4.36 + 2*t^4.48 + t^4.61 + 3*t^4.64 + 5*t^4.77 + 6*t^4.9 + 3*t^5.03 + t^5.16 + 2*t^5.19 + 4*t^5.32 + 2*t^5.45 + t^5.74 - 2*t^6. - t^4.23/y - t^4.23*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3396 | 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$ + $ \phi_1q_1\tilde{q}_2$ + $ M_5M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6909 | 0.8877 | 0.7783 | [X:[], M:[0.7502, 0.7838, 0.6844, 0.8495, 1.1505, 0.8495, 0.7012], q:[0.8579, 0.3919], qb:[0.4576, 0.7586], phi:[0.3835]] | t^2.05 + t^2.1 + t^2.25 + t^2.3 + t^2.35 + 2*t^2.55 + t^3.5 + t^3.7 + t^4.11 + t^4.16 + t^4.21 + t^4.3 + 2*t^4.35 + 2*t^4.4 + t^4.46 + t^4.5 + t^4.55 + 4*t^4.6 + 3*t^4.65 + t^4.7 + 2*t^4.8 + 3*t^4.85 + 2*t^4.9 + 3*t^5.1 + t^5.56 + t^5.61 + t^5.75 + t^5.8 + t^5.85 - 2*t^6. - t^4.15/y - t^4.15*y | detail |