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 |
|---|---|---|---|---|---|---|---|---|---|
| 1647 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_7q_1q_2$ | 0.6452 | 0.8111 | 0.7955 | [X:[], M:[1.037, 1.1543, 0.7685, 0.7315, 0.8457, 1.0, 0.9228], q:[0.7886, 0.2886], qb:[0.6744, 0.5571], phi:[0.4228]] | [X:[], M:[[12], [-4], [6], [-6], [4], [0], [2]], q:[[-1], [-1]], qb:[[-11], [5]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_6$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_3M_4$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_3M_6$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_1M_7$ | . | -2 | t^2.19 + t^2.31 + 2*t^2.54 + t^2.77 + t^3. + t^3.11 + t^4.04 + t^4.16 + 2*t^4.39 + t^4.5 + 2*t^4.61 + 2*t^4.73 + t^4.84 + 2*t^4.96 + 4*t^5.07 + 4*t^5.31 + t^5.32 + t^5.42 + 3*t^5.54 + t^5.65 + t^5.88 - 2*t^6. + t^6.22 + t^6.23 - t^6.46 + t^6.57 + 2*t^6.58 + 2*t^6.69 + 2*t^6.81 + t^6.92 + 3*t^6.93 + t^7.04 + 4*t^7.15 + 3*t^7.16 + 3*t^7.27 + 3*t^7.38 + 4*t^7.5 + t^7.51 + 7*t^7.61 - t^7.62 + 2*t^7.72 + 2*t^7.73 + 5*t^7.84 + t^7.85 + t^7.95 - 2*t^7.96 + 6*t^8.07 + t^8.08 + 2*t^8.18 - 4*t^8.19 - t^8.31 + t^8.32 + 2*t^8.42 + t^8.43 + t^8.53 - 4*t^8.54 + 2*t^8.65 - t^8.66 + t^8.76 - 4*t^8.77 + 2*t^8.78 - t^8.88 + t^8.99 - t^4.27/y - t^6.46/y - t^6.57/y - t^6.81/y - t^7.04/y + t^7.16/y - t^7.38/y + (2*t^7.5)/y + (3*t^7.73)/y + (2*t^7.84)/y + (2*t^7.96)/y + (3*t^8.07)/y + t^8.19/y + (4*t^8.31)/y + t^8.42/y + (2*t^8.54)/y + (2*t^8.65)/y - t^8.66/y - t^4.27*y - t^6.46*y - t^6.57*y - t^6.81*y - t^7.04*y + t^7.16*y - t^7.38*y + 2*t^7.5*y + 3*t^7.73*y + 2*t^7.84*y + 2*t^7.96*y + 3*t^8.07*y + t^8.19*y + 4*t^8.31*y + t^8.42*y + 2*t^8.54*y + 2*t^8.65*y - t^8.66*y | t^2.19/g1^6 + g1^6*t^2.31 + 2*g1^4*t^2.54 + g1^2*t^2.77 + t^3. + g1^12*t^3.11 + g1^4*t^4.04 + t^4.16/g1^10 + (2*t^4.39)/g1^12 + t^4.5 + 2*g1^12*t^4.61 + (2*t^4.73)/g1^2 + g1^10*t^4.84 + (2*t^4.96)/g1^4 + 4*g1^8*t^5.07 + 4*g1^6*t^5.31 + t^5.32/g1^20 + g1^18*t^5.42 + 3*g1^4*t^5.54 + g1^16*t^5.65 + g1^14*t^5.88 - 2*t^6. + g1^24*t^6.22 + t^6.23/g1^2 - t^6.46/g1^4 + g1^8*t^6.57 + (2*t^6.58)/g1^18 + (2*t^6.69)/g1^6 + 2*g1^6*t^6.81 + g1^18*t^6.92 + (3*t^6.93)/g1^8 + g1^4*t^7.04 + 4*g1^16*t^7.15 + (3*t^7.16)/g1^10 + 3*g1^2*t^7.27 + 3*g1^14*t^7.38 + 4*t^7.5 + t^7.51/g1^26 + 7*g1^12*t^7.61 - t^7.62/g1^14 + 2*g1^24*t^7.72 + (2*t^7.73)/g1^2 + 5*g1^10*t^7.84 + t^7.85/g1^16 + g1^22*t^7.95 - (2*t^7.96)/g1^4 + 6*g1^8*t^8.07 + t^8.08/g1^18 + 2*g1^20*t^8.18 - (4*t^8.19)/g1^6 - g1^6*t^8.31 + t^8.32/g1^20 + 2*g1^18*t^8.42 + t^8.43/g1^8 + g1^30*t^8.53 - 4*g1^4*t^8.54 + 2*g1^16*t^8.65 - t^8.66/g1^10 + g1^28*t^8.76 - 4*g1^2*t^8.77 + (2*t^8.78)/g1^24 - g1^14*t^8.88 + g1^26*t^8.99 - (g1^2*t^4.27)/y - t^6.46/(g1^4*y) - (g1^8*t^6.57)/y - (g1^6*t^6.81)/y - (g1^4*t^7.04)/y + t^7.16/(g1^10*y) - (g1^14*t^7.38)/y + (2*t^7.5)/y + (3*t^7.73)/(g1^2*y) + (2*g1^10*t^7.84)/y + (2*t^7.96)/(g1^4*y) + (3*g1^8*t^8.07)/y + t^8.19/(g1^6*y) + (4*g1^6*t^8.31)/y + (g1^18*t^8.42)/y + (2*g1^4*t^8.54)/y + (2*g1^16*t^8.65)/y - t^8.66/(g1^10*y) - g1^2*t^4.27*y - (t^6.46*y)/g1^4 - g1^8*t^6.57*y - g1^6*t^6.81*y - g1^4*t^7.04*y + (t^7.16*y)/g1^10 - g1^14*t^7.38*y + 2*t^7.5*y + (3*t^7.73*y)/g1^2 + 2*g1^10*t^7.84*y + (2*t^7.96*y)/g1^4 + 3*g1^8*t^8.07*y + (t^8.19*y)/g1^6 + 4*g1^6*t^8.31*y + g1^18*t^8.42*y + 2*g1^4*t^8.54*y + 2*g1^16*t^8.65*y - (t^8.66*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4040 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_7q_1q_2$ + $ M_1M_7$ | 0.6443 | 0.8095 | 0.796 | [X:[], M:[1.0714, 1.1429, 0.7857, 0.7143, 0.8571, 1.0, 0.9286], q:[0.7857, 0.2857], qb:[0.6429, 0.5714], phi:[0.4286]] | t^2.14 + t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.21 + 2*t^4.07 + 2*t^4.29 + t^4.5 + 4*t^4.71 + 3*t^4.93 + 5*t^5.14 + 4*t^5.36 + 4*t^5.57 + t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 56577/87808, c: 71081/87808, M1: 15/14, M2: 8/7, M3: 11/14, M4: 5/7, M5: 6/7, M6: 1, M7: 13/14, q1: 11/14, q2: 2/7, qb1: 9/14, qb2: 4/7, phi1: 3/7} |
| 4039 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_7q_1q_2$ + $ M_1\phi_1^2$ | 0.6395 | 0.8036 | 0.7958 | [X:[], M:[1.125, 1.125, 0.8125, 0.6875, 0.875, 1.0, 0.9375], q:[0.7812, 0.2812], qb:[0.5938, 0.5938], phi:[0.4375]] | t^2.06 + t^2.44 + 2*t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.94 + 3*t^4.12 + t^4.5 + 2*t^4.69 + 5*t^4.88 + t^5.06 + 4*t^5.25 + 4*t^5.44 + 3*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 41913/65536, c: 52665/65536, M1: 9/8, M2: 9/8, M3: 13/16, M4: 11/16, M5: 7/8, M6: 1, M7: 15/16, q1: 25/32, q2: 9/32, qb1: 19/32, qb2: 19/32, phi1: 7/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1059 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ | 0.6382 | 0.7991 | 0.7986 | [X:[], M:[1.0473, 1.1509, 0.7736, 0.7264, 0.8491, 1.0], q:[0.7877, 0.2877], qb:[0.665, 0.5614], phi:[0.4245]] | t^2.18 + t^2.32 + 2*t^2.55 + t^3. + t^3.14 + t^3.23 + t^4.05 + t^4.13 + 2*t^4.36 + t^4.5 + 2*t^4.64 + 2*t^4.73 + t^4.87 + t^4.95 + 3*t^5.09 + t^5.26 + 2*t^5.32 + t^5.41 + t^5.46 + 3*t^5.55 + t^5.69 + t^5.77 - 2*t^6. - t^4.27/y - t^4.27*y | detail |