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 |
|---|---|---|---|---|---|---|---|---|---|
| 610 | 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_3^2$ | 0.6976 | 0.853 | 0.8178 | [X:[], M:[0.9761, 0.9721, 1.0, 0.9482, 1.0518], q:[0.5379, 0.4861], qb:[0.4621, 0.5657], phi:[0.487]] | [X:[], M:[[12, 4], [-8, -8], [0, 0], [4, -4], [-4, 4]], q:[[-8, 0], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_3\phi_1^2$ | . | -2 | t^2.84 + 2*t^2.92 + t^2.93 + t^3. + t^3.16 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + t^4.53 + t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.86 + t^5.77 + t^5.83 + 3*t^5.84 + t^5.85 + t^5.86 + t^5.92 - 2*t^6. + t^6.08 + t^6.23 + t^6.31 + t^6.47 + t^6.62 + t^7.08 + t^7.15 + 2*t^7.16 + t^7.22 + 2*t^7.23 + t^7.29 + t^7.3 + t^7.38 + t^7.39 + t^7.45 + t^7.46 + 2*t^7.47 + 2*t^7.53 + t^7.54 + t^7.6 + 2*t^7.69 + t^7.7 + t^7.77 + 2*t^7.78 + t^7.84 - t^7.85 + t^7.86 + t^8. + t^8.01 + t^8.08 + t^8.17 + t^8.47 + t^8.54 + t^8.61 - t^8.62 + t^8.68 + t^8.7 + t^8.75 + 3*t^8.76 + 4*t^8.77 + 3*t^8.78 - t^8.84 + t^8.85 + t^8.91 - 4*t^8.92 - 3*t^8.93 + 2*t^8.99 - t^4.46/y - (2*t^7.38)/y - t^7.39/y + t^7.53/y + (2*t^7.54)/y + t^8.76/y + (2*t^8.77)/y + (3*t^8.84)/y + t^8.85/y + (2*t^8.92)/y + t^8.93/y - t^4.46*y - 2*t^7.38*y - t^7.39*y + t^7.53*y + 2*t^7.54*y + t^8.76*y + 2*t^8.77*y + 3*t^8.84*y + t^8.85*y + 2*t^8.92*y + t^8.93*y | (g1^4*t^2.84)/g2^4 + t^2.92/(g1^8*g2^8) + (g1^2*t^2.92)/g2^2 + g1^12*g2^4*t^2.93 + t^3. + (g2^4*t^3.16)/g1^4 + (g2^8*t^3.31)/g1^8 + (g1^17*t^4.23)/g2 + (g1^5*t^4.31)/g2^5 + t^4.38/(g1^7*g2^9) + (g1*t^4.46)/g2 + t^4.53/(g1^11*g2^5) + g1^9*g2^7*t^4.54 + (g2^3*t^4.62)/g1^3 + t^4.69/(g1^15*g2) + (g2^7*t^4.77)/g1^7 + g1*g2^15*t^4.86 + (g1^6*t^5.77)/g2^6 + t^5.83/(g1^16*g2^16) + t^5.84/(g1^6*g2^10) + (2*g1^4*t^5.84)/g2^4 + g1^14*g2^2*t^5.85 + g1^24*g2^8*t^5.86 + (g1^2*t^5.92)/g2^2 - 2*t^6. + (g2^2*t^6.08)/g1^2 + (g2^6*t^6.23)/g1^6 + (g2^8*t^6.31)/g1^8 + (g2^12*t^6.47)/g1^12 + (g2^16*t^6.62)/g1^16 + (g1^21*t^7.08)/g2^5 + (g1^9*t^7.15)/g2^9 + (g1^19*t^7.16)/g2^3 + g1^29*g2^3*t^7.16 + t^7.22/(g1^3*g2^13) + (g1^7*t^7.23)/g2^7 + (g1^17*t^7.23)/g2 + t^7.29/(g1^15*g2^17) + t^7.3/(g1^5*g2^11) + (g1^5*t^7.31)/g2^5 - g1^15*g2*t^7.31 + t^7.38/(g1^7*g2^9) + g1^13*g2^3*t^7.39 + t^7.45/(g1^19*g2^13) + (g1*t^7.46)/g2 + g1^11*g2^5*t^7.47 + g1^21*g2^11*t^7.47 + (2*t^7.53)/(g1^11*g2^5) + g1^9*g2^7*t^7.54 + t^7.6/(g1^23*g2^9) + (g2^3*t^7.62)/g1^3 - g1^7*g2^9*t^7.62 + (2*t^7.69)/(g1^15*g2) + g1^5*g2^11*t^7.7 - (g2*t^7.77)/g1^17 + (2*g2^7*t^7.77)/g1^7 + g1^3*g2^13*t^7.78 + g1^13*g2^19*t^7.78 + (g2^3*t^7.84)/g1^19 - (g2^9*t^7.85)/g1^9 + g1*g2^15*t^7.86 + (g2^11*t^7.93)/g1^11 - (g2^17*t^7.93)/g1 + (g2^7*t^8.)/g1^23 + (g2^19*t^8.01)/g1^3 + (g2^15*t^8.08)/g1^15 + (g2^23*t^8.17)/g1^7 + (g1^34*t^8.47)/g2^2 + (g1^22*t^8.54)/g2^6 + (g1^10*t^8.61)/g2^10 - (g1^20*t^8.62)/g2^4 + t^8.68/(g1^2*g2^14) + (g1^18*t^8.7)/g2^2 + t^8.75/(g1^24*g2^24) + (2*t^8.76)/(g1^14*g2^18) + t^8.76/(g1^4*g2^12) + g1^16*t^8.77 + (3*g1^6*t^8.77)/g2^6 + 2*g1^26*g2^6*t^8.78 + g1^36*g2^12*t^8.78 + t^8.84/(g1^6*g2^10) - (2*g1^4*t^8.84)/g2^4 + g1^14*g2^2*t^8.85 + t^8.91/(g1^18*g2^14) - (4*t^8.92)/(g1^8*g2^8) - 3*g1^12*g2^4*t^8.93 + (2*t^8.99)/(g1^10*g2^6) - (g1*t^4.46)/(g2*y) - t^7.38/(g1^7*g2^9*y) - (g1^3*t^7.38)/(g2^3*y) - (g1^13*g2^3*t^7.39)/y + t^7.53/(g1^11*g2^5*y) + (g2*t^7.54)/(g1*y) + (g1^9*g2^7*t^7.54)/y + t^8.76/(g1^4*g2^12*y) + (g1^16*t^8.77)/y + (g1^6*t^8.77)/(g2^6*y) + t^8.84/(g1^6*g2^10*y) + (2*g1^4*t^8.84)/(g2^4*y) + (g1^14*g2^2*t^8.85)/y + t^8.92/(g1^8*g2^8*y) + (g1^2*t^8.92)/(g2^2*y) + (g1^12*g2^4*t^8.93)/y - (g1*t^4.46*y)/g2 - (t^7.38*y)/(g1^7*g2^9) - (g1^3*t^7.38*y)/g2^3 - g1^13*g2^3*t^7.39*y + (t^7.53*y)/(g1^11*g2^5) + (g2*t^7.54*y)/g1 + g1^9*g2^7*t^7.54*y + (t^8.76*y)/(g1^4*g2^12) + g1^16*t^8.77*y + (g1^6*t^8.77*y)/g2^6 + (t^8.84*y)/(g1^6*g2^10) + (2*g1^4*t^8.84*y)/g2^4 + g1^14*g2^2*t^8.85*y + (t^8.92*y)/(g1^8*g2^8) + (g1^2*t^8.92*y)/g2^2 + g1^12*g2^4*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 990 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_5M_6$ | 0.7033 | 0.8629 | 0.815 | [X:[], M:[0.9677, 0.9602, 1.0, 0.9279, 1.0721, 0.9279], q:[0.5522, 0.4801], qb:[0.4478, 0.592], phi:[0.482]] | 2*t^2.78 + t^2.88 + t^2.89 + t^2.9 + t^3. + t^3.43 + t^4.13 + t^4.23 + t^4.33 + t^4.45 + t^4.54 + t^4.57 + t^4.66 + t^4.76 + t^4.88 + t^5. + 2*t^5.57 + t^5.66 + 2*t^5.68 + t^5.69 + t^5.76 + t^5.77 + 3*t^5.78 + t^5.8 + t^5.81 + t^5.89 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 1946 | $M_1q_1q_2$ + $ 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_3^2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5904 | 0.7422 | 0.7955 | [X:[], M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | t^2.14 + t^2.41 + t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.43 + t^3.7 + t^3.86 + t^4.29 + t^4.55 + 2*t^4.71 + t^4.82 + t^4.88 + t^4.98 + 3*t^5.14 + 2*t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + t^5.73 + t^5.84 + t^5.89 - t^4.29/y - t^4.29*y | detail | {a: 51843/87808, c: 65171/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, q1: 11/16, q2: 45/112, qb1: 5/16, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |