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 |
|---|---|---|---|---|---|---|---|---|---|
| 54201 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7\phi_1q_1q_2$ | 0.6888 | 0.8814 | 0.7814 | [X:[], M:[1.1507, 0.7416, 0.8493, 0.7927, 0.685, 0.8493, 0.7672], q:[0.3964, 0.4529], qb:[0.862, 0.7544], phi:[0.3836]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [-7, -7], [3, 3], [-2, -2]], 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 |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ M_7$, $ \phi_1^2$, $ M_4$, $ M_3$, $ M_6$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_2M_5$, $ M_5M_7$, $ M_5\phi_1^2$, $ M_4M_5$, $ M_2^2$, $ M_2M_7$, $ M_2\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ M_5M_6$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_7$, $ M_4\phi_1^2$, $ M_4^2$, $ M_2M_3$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_7$, $ M_6M_7$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_1^2$, $ M_7\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1^2$ | . | -3 | t^2.06 + t^2.22 + 2*t^2.3 + t^2.38 + 2*t^2.55 + t^3.53 + t^3.87 + t^4.11 + t^4.28 + 2*t^4.36 + t^4.43 + t^4.45 + 2*t^4.53 + 6*t^4.6 + 2*t^4.68 + t^4.76 + 2*t^4.77 + 5*t^4.85 + 2*t^4.93 + 3*t^5.1 + t^5.58 + t^5.83 + t^5.91 - 3*t^6. + t^6.08 + t^6.09 + 2*t^6.17 + t^6.34 + 2*t^6.41 + 2*t^6.42 + t^6.49 + t^6.5 + 2*t^6.58 + 6*t^6.66 + t^6.67 + 2*t^6.73 + 2*t^6.75 + t^6.81 + 6*t^6.83 + 10*t^6.9 + 5*t^6.98 + 2*t^7. + 3*t^7.06 + 4*t^7.07 + t^7.13 + 10*t^7.15 + 3*t^7.23 + 2*t^7.3 + t^7.32 + 5*t^7.4 + 2*t^7.47 - t^7.57 + 4*t^7.64 + t^7.74 + t^7.89 + t^7.96 - 4*t^8.06 + 2*t^8.13 + t^8.21 - 3*t^8.22 + t^8.29 - 8*t^8.3 + t^8.32 - 3*t^8.38 + 2*t^8.39 + t^8.45 + 2*t^8.47 + t^8.54 - 9*t^8.55 + t^8.56 + 4*t^8.64 + 6*t^8.71 + 2*t^8.72 + t^8.73 + t^8.79 + 2*t^8.81 + t^8.87 + 6*t^8.88 + t^8.9 + 13*t^8.96 + 2*t^8.98 - t^4.15/y - t^6.21/y - t^6.38/y - (2*t^6.45)/y - t^6.53/y - t^6.7/y + t^7.28/y + (2*t^7.36)/y + t^7.43/y + (2*t^7.53)/y + (5*t^7.6)/y + (2*t^7.68)/y + (3*t^7.77)/y + (6*t^7.85)/y + (3*t^7.93)/y + (2*t^8.1)/y - t^8.26/y - t^8.43/y - (2*t^8.51)/y - t^8.6/y - (2*t^8.68)/y - (4*t^8.75)/y - t^4.15*y - t^6.21*y - t^6.38*y - 2*t^6.45*y - t^6.53*y - t^6.7*y + t^7.28*y + 2*t^7.36*y + t^7.43*y + 2*t^7.53*y + 5*t^7.6*y + 2*t^7.68*y + 3*t^7.77*y + 6*t^7.85*y + 3*t^7.93*y + 2*t^8.1*y - t^8.26*y - t^8.43*y - 2*t^8.51*y - t^8.6*y - 2*t^8.68*y - 4*t^8.75*y | t^2.06/(g1^7*g2^7) + g1^2*g2^4*t^2.22 + (2*t^2.3)/(g1^2*g2^2) + t^2.38/(g1^6*g2^8) + 2*g1^3*g2^3*t^2.55 + t^3.53/(g1^7*g2^9) + g1^11*g2^13*t^3.87 + t^4.11/(g1^14*g2^14) + t^4.28/(g1^5*g2^3) + (2*t^4.36)/(g1^9*g2^9) + t^4.43/(g1^13*g2^15) + g1^4*g2^8*t^4.45 + 2*g2^2*t^4.53 + (6*t^4.6)/(g1^4*g2^4) + (2*t^4.68)/(g1^8*g2^10) + t^4.76/(g1^12*g2^16) + 2*g1^5*g2^7*t^4.77 + 5*g1*g2*t^4.85 + (2*t^4.93)/(g1^3*g2^5) + 3*g1^6*g2^6*t^5.1 + t^5.58/(g1^14*g2^16) + t^5.83/(g1^9*g2^11) + t^5.91/(g1^13*g2^17) - 3*t^6. + t^6.08/(g1^4*g2^6) + g1^13*g2^17*t^6.09 + t^6.17/(g1^21*g2^21) + g1^9*g2^11*t^6.17 + t^6.34/(g1^12*g2^10) + (2*t^6.41)/(g1^16*g2^16) + 2*g1^14*g2^16*t^6.42 + t^6.49/(g1^20*g2^22) + (g2*t^6.5)/g1^3 + (2*t^6.58)/(g1^7*g2^5) + (6*t^6.66)/(g1^11*g2^11) + g1^6*g2^12*t^6.67 + (2*t^6.73)/(g1^15*g2^17) + 2*g1^2*g2^6*t^6.75 + t^6.81/(g1^19*g2^23) + (6*t^6.83)/g1^2 + (10*t^6.9)/(g1^6*g2^6) + (5*t^6.98)/(g1^10*g2^12) + 2*g1^7*g2^11*t^7. + (3*t^7.06)/(g1^14*g2^18) + 4*g1^3*g2^5*t^7.07 + t^7.13/(g1^18*g2^24) + (10*t^7.15)/(g1*g2) + (3*t^7.23)/(g1^5*g2^7) + (2*t^7.3)/(g1^9*g2^13) + g1^8*g2^10*t^7.32 + 5*g1^4*g2^4*t^7.4 + (2*t^7.47)/g2^2 - g1^13*g2^15*t^7.57 + t^7.64/(g1^21*g2^23) + 3*g1^9*g2^9*t^7.64 + g1^22*g2^26*t^7.74 + t^7.89/(g1^16*g2^18) + t^7.96/(g1^20*g2^24) - (4*t^8.06)/(g1^7*g2^7) + (2*t^8.13)/(g1^11*g2^13) + t^8.21/(g1^15*g2^19) + t^8.22/(g1^28*g2^28) - 4*g1^2*g2^4*t^8.22 + t^8.29/(g1^19*g2^25) - (8*t^8.3)/(g1^2*g2^2) + g1^15*g2^21*t^8.32 - (3*t^8.38)/(g1^6*g2^8) + t^8.39/(g1^19*g2^17) + g1^11*g2^15*t^8.39 + t^8.45/(g1^10*g2^14) + (2*t^8.47)/(g1^23*g2^23) + t^8.54/(g1^27*g2^29) - 9*g1^3*g2^3*t^8.55 + t^8.56/(g1^10*g2^6) + (2*t^8.64)/(g1^14*g2^12) + 2*g1^16*g2^20*t^8.64 + (6*t^8.71)/(g1^18*g2^18) + 2*g1^12*g2^14*t^8.72 + (g2^5*t^8.73)/g1 + (2*t^8.79)/(g1^22*g2^24) - g1^8*g2^8*t^8.79 + (2*t^8.81)/(g1^5*g2) + t^8.87/(g1^26*g2^30) + (6*t^8.88)/(g1^9*g2^7) + g1^8*g2^16*t^8.9 + (10*t^8.96)/(g1^13*g2^13) + 3*g1^17*g2^19*t^8.96 + 2*g1^4*g2^10*t^8.98 - t^4.15/(g1*g2*y) - t^6.21/(g1^8*g2^8*y) - (g1*g2^3*t^6.38)/y - (2*t^6.45)/(g1^3*g2^3*y) - t^6.53/(g1^7*g2^9*y) - (g1^2*g2^2*t^6.7)/y + t^7.28/(g1^5*g2^3*y) + (2*t^7.36)/(g1^9*g2^9*y) + t^7.43/(g1^13*g2^15*y) + (2*g2^2*t^7.53)/y + (5*t^7.6)/(g1^4*g2^4*y) + (2*t^7.68)/(g1^8*g2^10*y) + (3*g1^5*g2^7*t^7.77)/y + (6*g1*g2*t^7.85)/y + (3*t^7.93)/(g1^3*g2^5*y) + (2*g1^6*g2^6*t^8.1)/y - t^8.26/(g1^15*g2^15*y) - t^8.43/(g1^6*g2^4*y) - (2*t^8.51)/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.6)/y - (2*g2*t^8.68)/(g1*y) - (4*t^8.75)/(g1^5*g2^5*y) - (t^4.15*y)/(g1*g2) - (t^6.21*y)/(g1^8*g2^8) - g1*g2^3*t^6.38*y - (2*t^6.45*y)/(g1^3*g2^3) - (t^6.53*y)/(g1^7*g2^9) - g1^2*g2^2*t^6.7*y + (t^7.28*y)/(g1^5*g2^3) + (2*t^7.36*y)/(g1^9*g2^9) + (t^7.43*y)/(g1^13*g2^15) + 2*g2^2*t^7.53*y + (5*t^7.6*y)/(g1^4*g2^4) + (2*t^7.68*y)/(g1^8*g2^10) + 3*g1^5*g2^7*t^7.77*y + 6*g1*g2*t^7.85*y + (3*t^7.93*y)/(g1^3*g2^5) + 2*g1^6*g2^6*t^8.1*y - (t^8.26*y)/(g1^15*g2^15) - (t^8.43*y)/(g1^6*g2^4) - (2*t^8.51*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.6*y - (2*g2*t^8.68*y)/g1 - (4*t^8.75*y)/(g1^5*g2^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 56517 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7\phi_1q_1q_2$ + $ M_4\phi_1q_1^2$ | 0.6885 | 0.881 | 0.7815 | [X:[], M:[1.1521, 0.7282, 0.8479, 0.808, 0.6883, 0.8479, 0.7681], q:[0.404, 0.4439], qb:[0.8678, 0.7481], phi:[0.384]] | t^2.06 + t^2.18 + 2*t^2.3 + t^2.42 + 2*t^2.54 + t^3.58 + t^3.82 + t^4.13 + t^4.25 + 3*t^4.37 + 3*t^4.49 + 6*t^4.61 + 4*t^4.73 + 6*t^4.85 + 2*t^4.97 + 3*t^5.09 + t^5.64 + t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 56545 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ + $ M_7\phi_1q_1q_2$ + $ M_5^2$ | 0.6232 | 0.8018 | 0.7773 | [X:[], M:[1.2857, 0.9107, 0.7143, 0.8036, 1.0, 0.7143, 0.8571], q:[0.4018, 0.3125], qb:[0.6875, 0.8839], phi:[0.4286]] | 2*t^2.14 + t^2.41 + 2*t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.7 + 3*t^4.29 + 2*t^4.55 + 5*t^4.71 + t^4.82 + 2*t^4.88 + 2*t^4.98 + 6*t^5.14 + 4*t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + 2*t^5.73 + t^5.84 + t^5.89 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 54723/87808, c: 70403/87808, M1: 9/7, M2: 51/56, M3: 5/7, M4: 45/56, M5: 1, M6: 5/7, M7: 6/7, q1: 45/112, q2: 5/16, qb1: 11/16, qb2: 99/112, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47176 | 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$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_1M_6$ | 0.6706 | 0.8484 | 0.7904 | [X:[], M:[1.1549, 0.7464, 0.8451, 0.7935, 0.6948, 0.8451], q:[0.3967, 0.4484], qb:[0.8569, 0.7582], phi:[0.385]] | t^2.08 + t^2.24 + t^2.31 + t^2.38 + 2*t^2.54 + t^3.54 + t^3.69 + t^3.85 + t^4.17 + t^4.32 + t^4.39 + t^4.46 + t^4.48 + t^4.55 + 4*t^4.62 + t^4.69 + t^4.76 + 2*t^4.77 + 3*t^4.85 + 2*t^4.92 + 3*t^5.07 + t^5.62 + t^5.77 + t^5.92 + t^5.93 - 2*t^6. - t^4.15/y - t^4.15*y | detail |