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 |
|---|---|---|---|---|---|---|---|---|---|
| 47126 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.639 | 0.7933 | 0.8056 | [X:[], M:[1.1493, 0.7399, 0.8507, 1.2338, 0.7924, 0.6817], q:[0.3962, 0.4545], qb:[0.8638, 0.7531], phi:[0.3831]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [2, 2], [-6, -8], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_5$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ M_4$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_6^2$, $ M_2M_6$, $ M_5M_6$, $ M_2^2$, $ M_2M_5$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_6$, $ M_6\phi_1q_1^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_6\phi_1q_1q_2$, $ M_5\phi_1q_1^2$, $ M_2M_4$, $ M_6\phi_1q_2^2$ | . | -2 | t^2.04 + t^2.22 + t^2.38 + t^2.55 + t^3.45 + t^3.53 + 2*t^3.7 + t^3.88 + t^4.09 + t^4.26 + t^4.42 + t^4.44 + 2*t^4.6 + t^4.75 + t^4.77 + t^4.85 + t^4.93 + t^5.1 + t^5.49 + t^5.57 + t^5.67 + 2*t^5.75 + t^5.9 + 2*t^5.92 - 2*t^6. + 2*t^6.08 + t^6.1 + t^6.13 - t^6.17 + 2*t^6.25 + t^6.31 + t^6.43 + t^6.47 + t^6.48 + 2*t^6.64 + t^6.66 + t^6.8 + 2*t^6.82 + t^6.9 + 2*t^6.97 + t^6.99 + t^7.05 + t^7.13 + t^7.15 + t^7.23 + t^7.31 + t^7.4 + t^7.54 + t^7.58 + t^7.62 + t^7.71 + t^7.75 + 2*t^7.79 + t^7.89 + t^7.95 + 2*t^7.97 - 2*t^8.04 + 2*t^8.12 + 2*t^8.14 + t^8.18 - 3*t^8.22 + t^8.28 + 3*t^8.3 + t^8.32 + t^8.35 - 3*t^8.38 - t^8.39 + 2*t^8.46 + t^8.47 + t^8.51 + t^8.53 - 3*t^8.55 + t^8.63 + t^8.65 + 2*t^8.69 + t^8.7 - t^8.73 + t^8.81 + t^8.84 + 2*t^8.86 + t^8.88 + t^8.94 + t^8.98 - t^4.15/y - t^6.19/y - t^6.37/y - t^6.53/y + t^7.26/y + t^7.42/y + (2*t^7.6)/y + (2*t^7.77)/y + (2*t^7.93)/y + t^8.1/y - t^8.24/y - t^8.41/y + t^8.49/y - t^8.59/y + t^8.67/y + (2*t^8.75)/y + t^8.83/y + (3*t^8.92)/y - t^4.15*y - t^6.19*y - t^6.37*y - t^6.53*y + t^7.26*y + t^7.42*y + 2*t^7.6*y + 2*t^7.77*y + 2*t^7.93*y + t^8.1*y - t^8.24*y - t^8.41*y + t^8.49*y - t^8.59*y + t^8.67*y + 2*t^8.75*y + t^8.83*y + 3*t^8.92*y | t^2.04/(g1^7*g2^7) + g1^2*g2^4*t^2.22 + t^2.38/(g1^6*g2^8) + g1^3*g2^3*t^2.55 + t^3.45/(g1^3*g2^3) + t^3.53/(g1^7*g2^9) + 2*g1^2*g2^2*t^3.7 + g1^11*g2^13*t^3.88 + t^4.09/(g1^14*g2^14) + t^4.26/(g1^5*g2^3) + t^4.42/(g1^13*g2^15) + g1^4*g2^8*t^4.44 + (2*t^4.6)/(g1^4*g2^4) + t^4.75/(g1^12*g2^16) + g1^5*g2^7*t^4.77 + g1*g2*t^4.85 + t^4.93/(g1^3*g2^5) + g1^6*g2^6*t^5.1 + t^5.49/(g1^10*g2^10) + t^5.57/(g1^14*g2^16) + (g2*t^5.67)/g1 + (2*t^5.75)/(g1^5*g2^5) + t^5.9/(g1^13*g2^17) + 2*g1^4*g2^6*t^5.92 - 2*t^6. + (2*t^6.08)/(g1^4*g2^6) + g1^13*g2^17*t^6.1 + t^6.13/(g1^21*g2^21) - g1^9*g2^11*t^6.17 + 2*g1^5*g2^5*t^6.25 + t^6.31/(g1^12*g2^10) + g1^14*g2^16*t^6.43 + t^6.47/(g1^20*g2^22) + (g2*t^6.48)/g1^3 + (2*t^6.64)/(g1^11*g2^11) + g1^6*g2^12*t^6.66 + t^6.8/(g1^19*g2^23) + (2*t^6.82)/g1^2 + t^6.9/(g1^6*g2^6) + (2*t^6.97)/(g1^10*g2^12) + g1^7*g2^11*t^6.99 + t^7.05/(g1^14*g2^18) + t^7.13/(g1^18*g2^24) + t^7.15/(g1*g2) + t^7.23/(g1^5*g2^7) + t^7.31/(g1^9*g2^13) + g1^4*g2^4*t^7.4 + t^7.54/(g1^17*g2^17) + g1^13*g2^15*t^7.58 + t^7.62/(g1^21*g2^23) + t^7.71/(g1^8*g2^6) + g1^22*g2^26*t^7.75 + (2*t^7.79)/(g1^12*g2^12) + g1*g2^5*t^7.89 + t^7.95/(g1^20*g2^24) + (2*t^7.97)/(g1^3*g2) - (2*t^8.04)/(g1^7*g2^7) + (2*t^8.12)/(g1^11*g2^13) + 2*g1^6*g2^10*t^8.14 + t^8.18/(g1^28*g2^28) - 3*g1^2*g2^4*t^8.22 + t^8.28/(g1^19*g2^25) + (3*t^8.3)/(g1^2*g2^2) + g1^15*g2^21*t^8.32 + t^8.35/(g1^19*g2^17) - (3*t^8.38)/(g1^6*g2^8) - g1^11*g2^15*t^8.39 + (2*t^8.46)/(g1^10*g2^14) + g1^7*g2^9*t^8.47 + t^8.51/(g1^27*g2^29) + t^8.53/(g1^10*g2^6) - 3*g1^3*g2^3*t^8.55 + t^8.63/(g1*g2^3) + g1^16*g2^20*t^8.65 + (2*t^8.69)/(g1^18*g2^18) + (g2^5*t^8.7)/g1 - g1^12*g2^14*t^8.73 + g1^8*g2^8*t^8.81 + t^8.84/(g1^26*g2^30) + (2*t^8.86)/(g1^9*g2^7) + g1^8*g2^16*t^8.88 + t^8.94/(g1^13*g2^13) + g1^17*g2^19*t^8.98 - t^4.15/(g1*g2*y) - t^6.19/(g1^8*g2^8*y) - (g1*g2^3*t^6.37)/y - t^6.53/(g1^7*g2^9*y) + t^7.26/(g1^5*g2^3*y) + t^7.42/(g1^13*g2^15*y) + (2*t^7.6)/(g1^4*g2^4*y) + (2*g1^5*g2^7*t^7.77)/y + (2*t^7.93)/(g1^3*g2^5*y) + (g1^6*g2^6*t^8.1)/y - t^8.24/(g1^15*g2^15*y) - t^8.41/(g1^6*g2^4*y) + t^8.49/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.59)/y + (g2*t^8.67)/(g1*y) + (2*t^8.75)/(g1^5*g2^5*y) + t^8.83/(g1^9*g2^11*y) + (3*g1^4*g2^6*t^8.92)/y - (t^4.15*y)/(g1*g2) - (t^6.19*y)/(g1^8*g2^8) - g1*g2^3*t^6.37*y - (t^6.53*y)/(g1^7*g2^9) + (t^7.26*y)/(g1^5*g2^3) + (t^7.42*y)/(g1^13*g2^15) + (2*t^7.6*y)/(g1^4*g2^4) + 2*g1^5*g2^7*t^7.77*y + (2*t^7.93*y)/(g1^3*g2^5) + g1^6*g2^6*t^8.1*y - (t^8.24*y)/(g1^15*g2^15) - (t^8.41*y)/(g1^6*g2^4) + (t^8.49*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.59*y + (g2*t^8.67*y)/g1 + (2*t^8.75*y)/(g1^5*g2^5) + (t^8.83*y)/(g1^9*g2^11) + 3*g1^4*g2^6*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 |
|---|---|---|---|---|---|---|---|---|
| 53157 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ + $ M_5X_1$ | 0.5708 | 0.6958 | 0.8203 | [X:[1.3817], M:[1.2137, 1.0, 0.7863, 1.1909, 0.6183, 0.832], q:[0.3091, 0.4772], qb:[0.6909, 0.9046], phi:[0.4046]] | t^2.36 + t^2.5 + t^3. + t^3.07 + 2*t^3.57 + t^3.64 + t^4.08 + t^4.15 + t^4.72 + t^4.79 + t^4.85 + t^4.99 + t^5.36 + t^5.56 + t^5.93 - t^6. - t^4.21/y - t^4.21*y | detail | |
| 55558 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_1^2$ | 0.6327 | 0.784 | 0.807 | [X:[], M:[1.1845, 0.7382, 0.8155, 1.2103, 0.8412, 0.7639], q:[0.4206, 0.3948], qb:[0.8412, 0.7639], phi:[0.3948]] | t^2.21 + t^2.29 + t^2.45 + t^2.52 + 2*t^3.55 + 2*t^3.63 + t^3.71 + t^4.43 + t^4.51 + t^4.58 + t^4.66 + 2*t^4.74 + 2*t^4.82 + t^4.89 + t^4.97 + t^5.05 + 2*t^5.77 + 3*t^5.85 + t^5.92 - t^4.18/y - t^4.18*y | detail | |
| 55516 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6^2$ | 0.5778 | 0.7207 | 0.8018 | [X:[], M:[1.2857, 0.9107, 0.7143, 1.1429, 0.8036, 1.0], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + t^3.86 + t^4.29 + t^4.55 + t^4.71 + t^4.82 + t^4.88 + 2*t^5.14 + t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + 2*t^5.84 + t^5.89 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 50739/87808, c: 63283/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 8/7, M5: 45/56, M6: 1, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
| 55650 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_1^2$ | 0.655 | 0.8217 | 0.7971 | [X:[], M:[1.1534, 0.7168, 0.8466, 1.231, 0.8212, 0.6914, 0.7944], q:[0.4106, 0.436], qb:[0.8726, 0.7429], phi:[0.3845]] | t^2.07 + t^2.15 + t^2.38 + t^2.46 + t^2.54 + t^3.46 + 2*t^3.69 + t^3.77 + t^4.15 + t^4.22 + t^4.3 + t^4.46 + t^4.53 + t^4.54 + 2*t^4.61 + t^4.69 + t^4.77 + 2*t^4.85 + t^4.92 + t^4.93 + t^5. + t^5.08 + t^5.53 + t^5.61 + t^5.77 + 3*t^5.84 + t^5.92 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46410 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4\phi_1^2$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_3$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9817, 0.896, 1.0183, 1.0959, 0.9121, 0.7898], q:[0.4561, 0.5623], qb:[0.648, 0.5256], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |