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 |
|---|---|---|---|---|---|---|---|---|---|
| 934 | 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_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ | 0.7172 | 0.8839 | 0.8115 | [X:[], M:[1.0665, 0.8005, 0.9418, 0.9252, 1.0, 0.9335], q:[0.4959, 0.4376], qb:[0.5624, 0.6372], phi:[0.4667]] | [X:[], M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0], [-2, -2]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_4^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_3^2$, $ M_5M_6$, $ M_5\phi_1^2$ | . | -3 | t^2.4 + t^2.78 + 2*t^2.8 + t^2.83 + t^3. + t^3.4 + t^4.03 + t^4.2 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + 2*t^4.8 + t^5. + t^5.18 + 2*t^5.2 + t^5.22 + t^5.23 + t^5.55 + t^5.58 + 4*t^5.6 + t^5.63 + t^5.65 + 2*t^5.8 - 3*t^6. + t^6.2 - t^6.37 - t^6.42 + t^6.43 + t^6.78 + 2*t^6.8 + 2*t^6.83 + t^6.85 + t^6.98 + 2*t^7. + 2*t^7.03 + t^7.15 + 3*t^7.18 + 4*t^7.2 - t^7.23 + t^7.35 + 2*t^7.38 + 2*t^7.43 + t^7.45 + t^7.55 + t^7.57 + t^7.58 + 3*t^7.6 + t^7.62 + t^7.63 + t^7.77 + t^7.8 - t^7.82 + t^7.95 - t^7.97 + t^7.98 + 3*t^8. + 2*t^8.02 + t^8.03 + 3*t^8.05 + t^8.33 + t^8.35 + 2*t^8.38 + 2*t^8.4 - t^8.42 + 3*t^8.43 + t^8.45 + t^8.48 + 3*t^8.6 + t^8.62 - t^8.63 + t^8.65 + t^8.75 - 3*t^8.78 - 6*t^8.8 - 2*t^8.83 + t^8.95 - t^8.98 - t^4.4/y - t^6.8/y - t^7.18/y - t^7.2/y - t^7.23/y + t^7.57/y + t^7.6/y + t^7.62/y + t^8./y + t^8.18/y + (2*t^8.2)/y + t^8.23/y + t^8.4/y + (2*t^8.58)/y + (2*t^8.6)/y + (2*t^8.63)/y + t^8.78/y + (3*t^8.8)/y + t^8.83/y - t^4.4*y - t^6.8*y - t^7.18*y - t^7.2*y - t^7.23*y + t^7.57*y + t^7.6*y + t^7.62*y + t^8.*y + t^8.18*y + 2*t^8.2*y + t^8.23*y + t^8.4*y + 2*t^8.58*y + 2*t^8.6*y + 2*t^8.63*y + t^8.78*y + 3*t^8.8*y + t^8.83*y | t^2.4/(g1^6*g2^6) + (g1^6*t^2.78)/g2^6 + (2*t^2.8)/(g1^2*g2^2) + (g2^2*t^2.83)/g1^10 + t^3. + g1^4*g2^4*t^3.4 + t^4.03/(g1^13*g2) + t^4.2/(g1^3*g2^3) + (g1^7*t^4.38)/g2^5 + t^4.4/(g1*g2) + (g1^9*t^4.57)/g2^3 + (g2^5*t^4.62)/g1^7 + (g1^11*t^4.77)/g2 + t^4.8/(g1^12*g2^12) + g1^3*g2^3*t^4.8 + g1^5*g2^5*t^5. + t^5.18/g2^12 + (2*t^5.2)/(g1^8*g2^8) + (g2^11*t^5.22)/g1 + t^5.23/(g1^16*g2^4) + (g1^12*t^5.55)/g2^12 + (g1^4*t^5.58)/g2^8 + (4*t^5.6)/(g1^4*g2^4) + t^5.63/g1^12 + (g2^4*t^5.65)/g1^20 + (2*t^5.8)/(g1^2*g2^2) - 3*t^6. + g1^2*g2^2*t^6.2 - g1^12*t^6.37 - (g2^8*t^6.42)/g1^4 + t^6.43/(g1^19*g2^7) + t^6.6/(g1^9*g2^9) - g1^6*g2^6*t^6.6 + (g1*t^6.78)/g2^11 + t^6.8/(g1^7*g2^7) + g1^8*g2^8*t^6.8 + (2*t^6.83)/(g1^15*g2^3) + (g2*t^6.85)/g1^23 + (g1^3*t^6.98)/g2^9 + (2*t^7.)/(g1^5*g2^5) + (2*t^7.03)/(g1^13*g2) + (g1^13*t^7.15)/g2^11 + (3*g1^5*t^7.18)/g2^7 + t^7.2/(g1^18*g2^18) + (3*t^7.2)/(g1^3*g2^3) - (g2*t^7.23)/g1^11 + (g1^15*t^7.35)/g2^9 + (2*g1^7*t^7.38)/g2^5 + (2*g2^3*t^7.43)/g1^9 + (g2^7*t^7.45)/g1^17 + (g1^17*t^7.55)/g2^7 + (g1^9*t^7.57)/g2^3 + t^7.58/(g1^6*g2^18) + (2*t^7.6)/(g1^14*g2^14) + g1*g2*t^7.6 + (g2^5*t^7.62)/g1^7 + t^7.63/(g1^22*g2^10) + (g1^11*t^7.77)/g2 + g1^3*g2^3*t^7.8 - (g2^7*t^7.82)/g1^5 + (g1^6*t^7.95)/g2^18 - g1^13*g2*t^7.97 + t^7.98/(g1^2*g2^14) + (4*t^8.)/(g1^10*g2^10) - g1^5*g2^5*t^8. + (2*g2^9*t^8.02)/g1^3 + t^8.03/(g1^18*g2^6) + (2*t^8.05)/(g1^26*g2^2) + (g2^13*t^8.05)/g1^11 + (g1^18*t^8.33)/g2^18 + (g1^10*t^8.35)/g2^14 + (2*g1^2*t^8.38)/g2^10 + (2*t^8.4)/(g1^6*g2^6) - g1*g2^13*t^8.42 + (3*t^8.43)/(g1^14*g2^2) + (g2^2*t^8.45)/g1^22 + (g2^6*t^8.48)/g1^30 + (3*t^8.6)/(g1^4*g2^4) + g1^3*g2^15*t^8.62 - t^8.63/g1^12 + (g2^4*t^8.65)/g1^20 + (g1^14*t^8.75)/g2^10 - (3*g1^6*t^8.78)/g2^6 - (6*t^8.8)/(g1^2*g2^2) + t^8.83/(g1^25*g2^13) - (3*g2^2*t^8.83)/g1^10 + (g1^16*t^8.95)/g2^8 - (g1^8*t^8.98)/g2^4 - t^4.4/(g1*g2*y) - t^6.8/(g1^7*g2^7*y) - (g1^5*t^7.18)/(g2^7*y) - t^7.2/(g1^3*g2^3*y) - (g2*t^7.23)/(g1^11*y) + (g1^9*t^7.57)/(g2^3*y) + (g1*g2*t^7.6)/y + (g2^5*t^7.62)/(g1^7*y) + (g1^5*g2^5*t^8.)/y + t^8.18/(g2^12*y) + (2*t^8.2)/(g1^8*g2^8*y) + t^8.23/(g1^16*g2^4*y) + t^8.4/(g1^6*g2^6*y) + (2*g1^4*t^8.58)/(g2^8*y) + (2*t^8.6)/(g1^4*g2^4*y) + (2*t^8.63)/(g1^12*y) + (g1^6*t^8.78)/(g2^6*y) + (3*t^8.8)/(g1^2*g2^2*y) + (g2^2*t^8.83)/(g1^10*y) - (t^4.4*y)/(g1*g2) - (t^6.8*y)/(g1^7*g2^7) - (g1^5*t^7.18*y)/g2^7 - (t^7.2*y)/(g1^3*g2^3) - (g2*t^7.23*y)/g1^11 + (g1^9*t^7.57*y)/g2^3 + g1*g2*t^7.6*y + (g2^5*t^7.62*y)/g1^7 + g1^5*g2^5*t^8.*y + (t^8.18*y)/g2^12 + (2*t^8.2*y)/(g1^8*g2^8) + (t^8.23*y)/(g1^16*g2^4) + (t^8.4*y)/(g1^6*g2^6) + (2*g1^4*t^8.58*y)/g2^8 + (2*t^8.6*y)/(g1^4*g2^4) + (2*t^8.63*y)/g1^12 + (g1^6*t^8.78*y)/g2^6 + (3*t^8.8*y)/(g1^2*g2^2) + (g2^2*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 1432 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_3M_6$ | 0.7079 | 0.871 | 0.8128 | [X:[], M:[1.0434, 0.8699, 1.0434, 0.8699, 1.0, 0.9566], q:[0.4566, 0.5], qb:[0.5, 0.6301], phi:[0.4783]] | 2*t^2.61 + 2*t^2.87 + t^3. + t^3.13 + t^3.26 + t^4.17 + 2*t^4.3 + 3*t^4.43 + t^4.7 + 2*t^4.83 + 4*t^5.22 + 3*t^5.48 + 5*t^5.74 + 2*t^5.87 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 1431 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_4\phi_1^2$ | 0.707 | 0.8694 | 0.8131 | [X:[], M:[1.0397, 0.8808, 0.8808, 1.0397, 1.0, 0.9603], q:[0.5397, 0.4205], qb:[0.5795, 0.5397], phi:[0.4801]] | 2*t^2.64 + 2*t^2.88 + t^3. + t^3.12 + t^3.24 + t^3.96 + 2*t^4.32 + t^4.44 + 3*t^4.68 + 2*t^4.8 + t^4.92 + 3*t^5.28 + 3*t^5.52 + 5*t^5.76 + 2*t^5.88 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 1433 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ M_7q_1\tilde{q}_2$ | 0.73 | 0.9083 | 0.8037 | [X:[], M:[1.0785, 0.7646, 0.933, 0.9101, 1.0, 0.9215, 0.8431], q:[0.4943, 0.4272], qb:[0.5728, 0.6626], phi:[0.4608]] | t^2.29 + t^2.53 + t^2.73 + 2*t^2.76 + t^2.8 + t^3. + t^3.95 + t^4.15 + t^4.35 + t^4.38 + t^4.58 + t^4.59 + t^4.65 + 2*t^4.82 + t^4.85 + t^5.02 + 3*t^5.06 + 2*t^5.09 + t^5.26 + 2*t^5.29 + t^5.33 + t^5.36 + t^5.46 + t^5.49 + 5*t^5.53 + t^5.56 + t^5.6 + t^5.76 - 3*t^6. - t^4.38/y - t^4.38*y | detail | |
| 2088 | $M_1q_1q_2$ + $ 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_5^2$ + $ M_1\phi_1^2$ + $ M_1M_6$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ | 0.6075 | 0.7575 | 0.802 | [X:[1.6], M:[1.2, 0.4, 0.8667, 0.7333, 1.0, 0.8], q:[0.4667, 0.3333], qb:[0.6667, 0.9333], phi:[0.4]] | t^2.2 + 2*t^2.4 + t^2.6 + t^3. + t^3.2 + t^3.6 + t^4. + t^4.2 + t^4.4 + 2*t^4.6 + 5*t^4.8 + 2*t^5. + 2*t^5.2 + 2*t^5.4 + 2*t^5.6 + t^5.8 - t^4.2/y - t^4.2*y | detail | {a: 243/400, c: 303/400, X1: 8/5, M1: 6/5, M2: 2/5, M3: 13/15, M4: 11/15, M5: 1, M6: 4/5, q1: 7/15, q2: 1/3, qb1: 2/3, qb2: 14/15, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 594 | 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_5^2$ + $ M_1\phi_1^2$ | 0.7114 | 0.8732 | 0.8147 | [X:[], M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]] | t^2.47 + t^2.8 + t^2.82 + t^2.84 + t^3. + t^3.18 + t^3.35 + t^4.08 + t^4.23 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.75 + t^4.77 + 2*t^4.94 + t^5.14 + t^5.27 + t^5.29 + t^5.31 + t^5.61 + 3*t^5.65 + t^5.69 + t^5.82 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail |