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 |
|---|---|---|---|---|---|---|---|---|---|
| 596 | 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_2M_3$ | 0.7026 | 0.8611 | 0.8159 | [X:[], M:[0.8739, 1.054, 0.946, 0.9819, 1.0181], q:[0.5991, 0.527], qb:[0.4549, 0.4911], phi:[0.482]] | [X:[], M:[[20, 12], [-8, -8], [8, 8], [4, -4], [-4, 4]], q:[[-16, -8], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[3, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_5$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_3^2$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_3M_5$, $ M_5\phi_1^2$ | . | -2 | t^2.62 + t^2.84 + t^2.89 + t^2.95 + t^3.05 + t^3.16 + t^3.27 + t^4.18 + t^4.28 + 2*t^4.39 + t^4.5 + 2*t^4.61 + t^4.72 + t^4.82 + t^5.04 + t^5.24 + t^5.46 + t^5.51 + t^5.68 + t^5.73 + t^5.78 + t^5.84 + t^5.89 + t^5.95 - 2*t^6. + t^6.05 + t^6.11 + t^6.16 - t^6.22 + t^6.33 + t^6.54 + t^6.8 + t^6.91 + 2*t^7.01 + t^7.07 + 2*t^7.12 + t^7.18 + 3*t^7.23 + t^7.28 + 3*t^7.34 + 3*t^7.45 + 3*t^7.55 + 3*t^7.66 - t^7.72 + 2*t^7.77 - t^7.82 + t^7.86 + 2*t^7.88 + 2*t^7.99 + t^8.08 + t^8.1 + t^8.14 - t^8.15 + t^8.2 + t^8.3 + t^8.31 + 2*t^8.35 + t^8.41 + t^8.46 + 3*t^8.57 - 2*t^8.62 + 3*t^8.68 - t^8.73 + 4*t^8.78 + t^8.79 - 4*t^8.84 + t^8.89 - 3*t^8.95 - t^4.45/y - t^7.07/y - t^7.34/y + t^7.55/y + t^7.82/y + t^8.46/y + t^8.51/y + t^8.57/y + t^8.68/y + t^8.73/y + (2*t^8.78)/y + t^8.84/y + (2*t^8.89)/y + t^8.95/y - t^4.45*y - t^7.07*y - t^7.34*y + t^7.55*y + t^7.82*y + t^8.46*y + t^8.51*y + t^8.57*y + t^8.68*y + t^8.73*y + 2*t^8.78*y + t^8.84*y + 2*t^8.89*y + t^8.95*y | g1^20*g2^12*t^2.62 + g1^8*g2^8*t^2.84 + g1^6*g2^2*t^2.89 + (g1^4*t^2.95)/g2^4 + (g2^4*t^3.05)/g1^4 + t^3.16/(g1^8*g2^8) + t^3.27/g1^16 + g1^19*g2*t^4.18 + g1^11*g2^9*t^4.28 + (g1^7*t^4.39)/g2^3 + g1^3*g2^17*t^4.39 + (g2^5*t^4.5)/g1 + (2*t^4.61)/(g1^5*g2^7) + (g2*t^4.72)/g1^13 + t^4.82/(g1^17*g2^11) + t^5.04/(g1^29*g2^15) + g1^40*g2^24*t^5.24 + g1^28*g2^20*t^5.46 + g1^26*g2^14*t^5.51 + g1^16*g2^16*t^5.68 + g1^14*g2^10*t^5.73 + g1^12*g2^4*t^5.78 + (g1^10*t^5.84)/g2^2 + g1^4*g2^12*t^5.89 + g1^2*g2^6*t^5.95 - 2*t^6. + t^6.05/(g1^2*g2^6) + (g2^8*t^6.11)/g1^8 + (g2^2*t^6.16)/g1^10 - t^6.22/(g1^12*g2^4) + (g2^4*t^6.33)/g1^20 + t^6.54/g1^32 + g1^39*g2^13*t^6.8 + g1^31*g2^21*t^6.91 + g1^27*g2^9*t^7.01 + g1^23*g2^29*t^7.01 + g1^25*g2^3*t^7.07 + (g1^23*t^7.12)/g2^3 + g1^19*g2^17*t^7.12 + g1^17*g2^11*t^7.18 + 2*g1^15*g2^5*t^7.23 + g1^11*g2^25*t^7.23 + g1^9*g2^19*t^7.28 + (g1^11*t^7.34)/g2^7 + 2*g1^7*g2^13*t^7.34 + 2*g1^3*g2*t^7.45 + (g2^21*t^7.45)/g1 + (g1*t^7.5)/g2^5 - (g2^15*t^7.5)/g1^3 + t^7.55/(g1*g2^11) + (2*g2^9*t^7.55)/g1^5 + (2*t^7.66)/(g1^9*g2^3) + (g2^17*t^7.66)/g1^13 - t^7.72/(g1^11*g2^9) + t^7.77/(g1^13*g2^15) + (g2^5*t^7.77)/g1^17 - t^7.82/(g1^19*g2) + g1^60*g2^36*t^7.86 + (2*t^7.88)/(g1^21*g2^7) + t^7.99/(g1^25*g2^19) + (g2*t^7.99)/g1^29 + g1^48*g2^32*t^8.08 + t^8.1/(g1^33*g2^11) + g1^46*g2^26*t^8.14 - t^8.15/(g1^35*g2^17) + t^8.2/(g1^37*g2^23) + g1^36*g2^28*t^8.3 + t^8.31/(g1^45*g2^15) + g1^38*g2^2*t^8.35 + g1^34*g2^22*t^8.35 + g1^32*g2^16*t^8.41 + g1^30*g2^10*t^8.46 - g1^28*g2^4*t^8.51 + g1^24*g2^24*t^8.51 + (g1^26*t^8.57)/g2^2 + 2*g1^22*g2^18*t^8.57 - 2*g1^20*g2^12*t^8.62 + 2*g1^18*g2^6*t^8.68 + g1^14*g2^26*t^8.68 - g1^16*t^8.73 + (2*g1^14*t^8.78)/g2^6 + 2*g1^10*g2^14*t^8.78 + g1^6*g2^34*t^8.79 - 4*g1^8*g2^8*t^8.84 + g1^2*g2^22*t^8.89 - (3*g1^4*t^8.95)/g2^4 - (g1^3*g2*t^4.45)/y - (g1^23*g2^13*t^7.07)/y - (g1^9*g2^3*t^7.34)/y + t^7.55/(g1^3*g2*y) + t^7.82/(g1^17*g2^11*y) + (g1^28*g2^20*t^8.46)/y + (g1^26*g2^14*t^8.51)/y + (g1^24*g2^8*t^8.57)/y + (g1^16*g2^16*t^8.68)/y + (g1^14*g2^10*t^8.73)/y + (2*g1^12*g2^4*t^8.78)/y + (g1^10*t^8.84)/(g2^2*y) + (2*g1^4*g2^12*t^8.89)/y + (g1^2*g2^6*t^8.95)/y - g1^3*g2*t^4.45*y - g1^23*g2^13*t^7.07*y - g1^9*g2^3*t^7.34*y + (t^7.55*y)/(g1^3*g2) + (t^7.82*y)/(g1^17*g2^11) + g1^28*g2^20*t^8.46*y + g1^26*g2^14*t^8.51*y + g1^24*g2^8*t^8.57*y + g1^16*g2^16*t^8.68*y + g1^14*g2^10*t^8.73*y + 2*g1^12*g2^4*t^8.78*y + (g1^10*t^8.84*y)/g2^2 + 2*g1^4*g2^12*t^8.89*y + g1^2*g2^6*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 938 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_1\phi_1^2$ | 0.6916 | 0.8474 | 0.8161 | [X:[], M:[1.0021, 0.9938, 1.0062, 0.9896, 1.0104], q:[0.501, 0.4969], qb:[0.4927, 0.5135], phi:[0.499]] | t^2.97 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.03 + t^3.04 + t^4.45 + t^4.47 + 2*t^4.48 + t^4.49 + t^4.5 + t^4.52 + t^4.53 + t^4.54 + t^4.58 + t^5.96 + t^5.98 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 937 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_1^2$ | 0.6921 | 0.8476 | 0.8165 | [X:[], M:[1.0, 0.9903, 1.0097, 0.9807, 1.0193], q:[0.5048, 0.4952], qb:[0.4855, 0.5242], phi:[0.4976]] | t^2.94 + t^2.97 + t^2.99 + t^3. + t^3.03 + t^3.06 + t^3.09 + t^4.41 + t^4.43 + 2*t^4.46 + t^4.49 + 2*t^4.52 + t^4.55 + t^4.58 + t^4.64 + t^5.93 + t^5.96 + t^5.97 + t^5.99 - t^6. - t^4.49/y - t^4.49*y | detail | |
| 942 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_2M_6$ | 0.7087 | 0.8731 | 0.8117 | [X:[], M:[0.841, 1.076, 0.924, 0.9929, 1.0071, 0.924], q:[0.6211, 0.538], qb:[0.4549, 0.4692], phi:[0.4792]] | t^2.52 + 2*t^2.77 + t^2.88 + t^2.98 + t^3.02 + t^3.27 + t^4.17 + t^4.21 + t^4.25 + t^4.42 + t^4.46 + 2*t^4.67 + t^4.71 + t^4.91 + t^5.05 + t^5.16 + 2*t^5.3 + t^5.4 + 3*t^5.54 + 2*t^5.65 + t^5.75 + 2*t^5.79 + t^5.85 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 940 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_3M_6$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[0.9091, 1.0303, 0.9697, 0.9697, 1.0303, 1.0303], q:[0.5758, 0.5152], qb:[0.4545, 0.5152], phi:[0.4848]] | t^2.73 + 2*t^2.91 + 3*t^3.09 + t^3.27 + t^4.18 + 2*t^4.36 + 4*t^4.55 + 2*t^4.73 + t^4.91 + t^5.45 + t^5.64 + 2*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 2029/2904, c: 310/363, M1: 10/11, M2: 34/33, M3: 32/33, M4: 32/33, M5: 34/33, M6: 34/33, q1: 19/33, q2: 17/33, qb1: 5/11, qb2: 17/33, phi1: 16/33} |
| 939 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_3^2$ | 0.697 | 0.8525 | 0.8176 | [X:[], M:[0.9537, 1.0, 1.0, 0.9537, 1.0463], q:[0.5463, 0.5], qb:[0.4537, 0.5463], phi:[0.4884]] | 2*t^2.86 + t^2.93 + 2*t^3. + t^3.14 + t^3.28 + t^4.19 + t^4.33 + 3*t^4.47 + 2*t^4.6 + 3*t^4.74 + t^5.72 + 2*t^5.79 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 941 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_5M_6$ | 0.7054 | 0.8656 | 0.815 | [X:[], M:[0.8743, 1.0419, 0.9581, 0.9581, 1.0419, 0.9581], q:[0.6048, 0.521], qb:[0.4371, 0.521], phi:[0.479]] | t^2.62 + 4*t^2.87 + t^3.13 + t^3.38 + t^4.06 + 2*t^4.31 + 4*t^4.56 + 2*t^4.81 + t^5.07 + t^5.25 + 3*t^5.5 + 7*t^5.75 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 943 | $M_1q_1q_2$ + $ 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_2M_3$ + $ M_6q_1\tilde{q}_2$ | 0.7134 | 0.8806 | 0.8101 | [X:[], M:[0.846, 1.0534, 0.9466, 0.9529, 1.0471, 0.8524], q:[0.6272, 0.5267], qb:[0.4262, 0.5203], phi:[0.4749]] | t^2.54 + t^2.56 + t^2.84 + t^2.85 + t^2.86 + t^3.14 + t^3.16 + t^3.98 + t^4.26 + t^4.28 + t^4.55 + t^4.57 + 2*t^4.58 + t^4.87 + t^4.89 + t^5.08 + t^5.1 + t^5.11 + t^5.19 + t^5.38 + t^5.39 + t^5.4 + t^5.41 + t^5.42 + t^5.68 + t^5.69 + 2*t^5.7 + t^5.71 + t^5.72 + t^5.99 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 1945 | $M_1q_1q_2$ + $ 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_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.563 | 0.6963 | 0.8086 | [X:[1.5736], M:[0.4264, 1.2792, 0.7208, 0.9848, 1.0152], q:[0.934, 0.6396], qb:[0.3452, 0.3756], phi:[0.4264]] | t^2.16 + t^2.56 + t^2.95 + t^3.05 + t^3.35 + t^3.44 + t^3.53 + t^3.84 + t^3.93 + t^4.32 + 2*t^4.72 + 2*t^5.12 + t^5.21 + t^5.51 + t^5.6 + t^5.7 + t^5.91 - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 371 | 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$ | 0.7297 | 0.8972 | 0.8133 | [X:[], M:[0.8794, 0.9008, 0.7647, 1.0155, 0.9845], q:[0.6702, 0.4504], qb:[0.5651, 0.5341], phi:[0.445]] | t^2.29 + t^2.64 + t^2.67 + t^2.7 + t^2.95 + t^3.05 + t^3.61 + t^4.04 + t^4.29 + t^4.38 + t^4.54 + t^4.59 + t^4.63 + t^4.7 + t^4.73 + t^4.93 + t^4.95 + t^4.96 + t^5. + t^5.04 + t^5.25 + t^5.28 + t^5.31 + 2*t^5.34 + t^5.36 + t^5.37 + t^5.4 + t^5.62 + t^5.72 + t^5.91 - 3*t^6. - t^4.34/y - t^4.34*y | detail |