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 |
|---|---|---|---|---|---|---|---|---|---|
| 47177 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[1.0303, 0.9091, 0.9697, 1.0303, 0.9697, 1.0303], q:[0.5152, 0.4545], qb:[0.5758, 0.5152], phi:[0.4848]] | [X:[], M:[[4, 12], [-20, 4], [-4, -12], [8, -8], [-8, 8], [8, -8]], q:[[4, -4], [-8, -8]], qb:[[16, 0], [0, 16]], phi:[[-3, -1]]] | 2 | {a: 2029/2904, c: 310/363, M1: 34/33, M2: 10/11, M3: 32/33, M4: 34/33, M5: 32/33, M6: 34/33, q1: 17/33, q2: 5/11, qb1: 19/33, qb2: 17/33, phi1: 16/33} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1^4$ | $M_3M_4$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$ | 1 | 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. + 3*t^6.18 + 2*t^6.36 + t^6.55 + t^6.91 + 3*t^7.09 + 5*t^7.27 + 6*t^7.45 + 6*t^7.64 + 5*t^7.82 + 3*t^8. + 2*t^8.18 + 2*t^8.36 + 3*t^8.55 + t^8.73 - t^8.91 - t^4.45/y - t^7.18/y + t^7.73/y + (2*t^8.64)/y + (4*t^8.82)/y - t^4.45*y - t^7.18*y + t^7.73*y + 2*t^8.64*y + 4*t^8.82*y | (g2^4*t^2.73)/g1^20 + t^2.91/(g1^4*g2^12) + t^2.91/(g1^6*g2^2) + (2*g1^8*t^3.09)/g2^8 + g1^4*g2^12*t^3.09 + g1^16*g2^16*t^3.27 + t^4.18/(g1^19*g2^17) + t^4.36/(g1^7*g2^13) + (g2^7*t^4.36)/g1^11 + (2*g1^5*t^4.55)/g2^9 + g1*g2^11*t^4.55 + (g2^31*t^4.55)/g1^3 + (g1^17*t^4.73)/g2^5 + g1^13*g2^15*t^4.73 + (g1^29*t^4.91)/g2 + (g2^8*t^5.45)/g1^40 + (g2^2*t^5.64)/g1^26 + t^5.82/(g1^10*g2^14) + t^5.82/(g1^12*g2^4) - 3*t^6. + (g1^4*t^6.)/g2^20 + (2*g1^2*t^6.)/g2^10 + (g2^10*t^6.)/g1^2 + (2*g1^16*t^6.18)/g2^16 + g1^10*g2^14*t^6.18 + g1^24*g2^8*t^6.36 + g1^20*g2^28*t^6.36 + g1^32*g2^32*t^6.55 + t^6.91/(g1^39*g2^13) + t^7.09/(g1^23*g2^29) + t^7.09/(g1^25*g2^19) + (g2^11*t^7.09)/g1^31 + (2*t^7.27)/(g1^11*g2^25) + t^7.27/(g1^15*g2^5) + (g2^5*t^7.27)/g1^17 + (g2^35*t^7.27)/g1^23 + (2*g1*t^7.45)/g2^21 + t^7.45/(g1*g2^11) + t^7.45/(g1^3*g2) + (g2^19*t^7.45)/g1^7 + (g2^29*t^7.45)/g1^9 + (3*g1^13*t^7.64)/g2^17 - (g1^11*t^7.64)/g2^7 + 2*g1^9*g2^3*t^7.64 + 2*g1^5*g2^23*t^7.64 - g1^3*g2^33*t^7.64 + g1*g2^43*t^7.64 + (2*g1^25*t^7.82)/g2^13 + 2*g1^21*g2^7*t^7.82 - g1^19*g2^17*t^7.82 + g1^17*g2^27*t^7.82 + g1^13*g2^47*t^7.82 + (2*g1^37*t^8.)/g2^9 - g1^35*g2*t^8. + g1^33*g2^11*t^8. + g1^29*g2^31*t^8. + (g2^12*t^8.18)/g1^60 + g1^45*g2^15*t^8.18 + t^8.36/(g1^38*g2^34) + (g2^6*t^8.36)/g1^46 + (2*t^8.55)/g1^32 + t^8.55/(g1^26*g2^30) - t^8.55/(g1^28*g2^20) + t^8.55/(g1^30*g2^10) + (2*t^8.73)/(g1^14*g2^26) - t^8.73/(g1^16*g2^16) + (2*t^8.73)/(g1^18*g2^6) - (3*g2^4*t^8.73)/g1^20 + (g2^14*t^8.73)/g1^22 + (3*t^8.91)/(g1^2*g2^22) - (2*t^8.91)/(g1^4*g2^12) - t^8.91/(g1^6*g2^2) - (2*g2^8*t^8.91)/g1^8 + (g2^18*t^8.91)/g1^10 - (g2^28*t^8.91)/g1^12 + (g2^38*t^8.91)/g1^14 - t^4.45/(g1^3*g2*y) - (g2^3*t^7.18)/(g1^23*y) - t^7.36/(g1^9*g2^3*y) + (g2^7*t^7.36)/(g1^11*y) - (g1^5*t^7.55)/(g2^9*y) + (g1^3*g2*t^7.55)/y + (g1^17*t^7.73)/(g2^5*y) + t^8.64/(g1^24*g2^8*y) + (g2^2*t^8.64)/(g1^26*y) + t^8.82/(g1^10*g2^14*y) + (2*t^8.82)/(g1^12*g2^4*y) + (g2^16*t^8.82)/(g1^16*y) - (t^4.45*y)/(g1^3*g2) - (g2^3*t^7.18*y)/g1^23 - (t^7.36*y)/(g1^9*g2^3) + (g2^7*t^7.36*y)/g1^11 - (g1^5*t^7.55*y)/g2^9 + g1^3*g2*t^7.55*y + (g1^17*t^7.73*y)/g2^5 + (t^8.64*y)/(g1^24*g2^8) + (g2^2*t^8.64*y)/g1^26 + (t^8.82*y)/(g1^10*g2^14) + (2*t^8.82*y)/(g1^12*g2^4) + (g2^16*t^8.82*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55484 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_2\phi_1^2$ | 0.6926 | 0.8487 | 0.8161 | [X:[], M:[1.0253, 1.0051, 0.9747, 0.9848, 1.0152, 0.9848], q:[0.4924, 0.4823], qb:[0.5025, 0.5329], phi:[0.4975]] | t^2.92 + 2*t^2.95 + t^2.98 + t^3.02 + t^3.08 + t^3.11 + t^4.39 + t^4.42 + 2*t^4.45 + t^4.48 + t^4.51 + t^4.54 + t^4.57 + t^4.6 + t^4.69 + t^5.88 + 3*t^5.91 + 2*t^5.94 + t^5.97 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 55571 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_2^2$ | 0.6933 | 0.8493 | 0.8163 | [X:[], M:[1.032, 1.0, 0.968, 0.984, 1.016, 0.984], q:[0.492, 0.476], qb:[0.508, 0.54], phi:[0.496]] | t^2.9 + 2*t^2.95 + t^2.98 + t^3. + t^3.1 + t^3.14 + t^4.34 + t^4.39 + 2*t^4.44 + t^4.49 + 2*t^4.54 + t^4.58 + t^4.63 + t^4.73 + t^5.86 + t^5.88 + 2*t^5.9 + 2*t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 50868 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\phi_1^2$ | 0.6961 | 0.8501 | 0.8189 | [X:[], M:[1.0244, 0.9267, 0.9756, 1.0244, 0.9756, 1.0244, 1.0244], q:[0.5122, 0.4634], qb:[0.5611, 0.5122], phi:[0.4878]] | t^2.78 + t^2.93 + 4*t^3.07 + t^3.22 + t^4.24 + 2*t^4.39 + 4*t^4.54 + 2*t^4.68 + t^4.83 + t^5.56 + t^5.85 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 54353 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_5M_6$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7095 | 0.8737 | 0.8121 | [X:[], M:[1.0598, 0.8819, 0.9402, 1.0292, 0.9708, 1.0292, 0.8513], q:[0.5146, 0.4256], qb:[0.6035, 0.5452], phi:[0.4778]] | t^2.55 + t^2.65 + t^2.82 + t^2.87 + 2*t^3.09 + t^3.18 + t^3.99 + t^4.25 + t^4.35 + 2*t^4.52 + t^4.61 + t^4.7 + t^4.79 + t^4.88 + t^5.05 + t^5.11 + t^5.2 + t^5.29 + t^5.37 + t^5.42 + t^5.51 + 2*t^5.64 + t^5.69 + 2*t^5.73 + t^5.91 + 2*t^5.95 - 3*t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46784 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7026 | 0.8611 | 0.8159 | [X:[], M:[1.0181, 0.8739, 0.9819, 1.054, 0.946], q:[0.527, 0.4549], qb:[0.5991, 0.4911], phi:[0.482]] | 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^4.45/y - t^4.45*y | detail |