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 |
|---|---|---|---|---|---|---|---|---|---|
| 990 | 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$ + $ 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]] | [X:[], M:[[12, 4], [-8, -8], [0, 0], [4, -4], [-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_6$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ 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_4^2$, $ M_4M_6$, $ M_6^2$, $ M_2M_4$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_1M_6$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ M_3\phi_1^2$ | . | -3 | 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^6.1 - t^6.12 + t^6.32 + t^6.87 + 2*t^6.92 + 2*t^7.01 + t^7.02 + t^7.04 + 2*t^7.11 + t^7.12 + t^7.13 + t^7.21 + t^7.22 + 2*t^7.23 - t^7.24 + 2*t^7.33 + t^7.35 + t^7.42 + t^7.45 + t^7.46 + t^7.47 + 2*t^7.54 + t^7.57 + t^7.64 + t^7.66 - t^7.67 + t^7.76 + t^7.78 - t^7.87 + t^7.88 + t^7.89 + t^7.9 - t^7.99 + t^8. - t^8.11 + t^8.19 + t^8.27 + t^8.31 + 2*t^8.35 + t^8.36 + t^8.43 + t^8.45 + 3*t^8.46 + t^8.54 + 2*t^8.56 + 3*t^8.57 + 2*t^8.58 + t^8.59 + t^8.64 + 2*t^8.65 + t^8.66 + 4*t^8.68 + t^8.69 + 2*t^8.7 + t^8.71 + t^8.77 - 5*t^8.78 + t^8.8 + t^8.87 - 5*t^8.88 - t^8.89 - 4*t^8.9 - t^8.98 + t^8.99 - t^4.45/y - t^7.23/y - t^7.33/y - t^7.34/y - t^7.35/y + t^7.54/y + t^7.55/y + t^7.57/y + t^7.66/y + t^8.57/y + (2*t^8.66)/y + (2*t^8.68)/y + (2*t^8.69)/y + t^8.77/y + (3*t^8.78)/y + t^8.8/y + t^8.88/y + t^8.89/y + t^8.9/y - t^4.45*y - t^7.23*y - t^7.33*y - t^7.34*y - t^7.35*y + t^7.54*y + t^7.55*y + t^7.57*y + t^7.66*y + t^8.57*y + 2*t^8.66*y + 2*t^8.68*y + 2*t^8.69*y + t^8.77*y + 3*t^8.78*y + t^8.8*y + t^8.88*y + t^8.89*y + t^8.9*y | (2*g1^4*t^2.78)/g2^4 + t^2.88/(g1^8*g2^8) + (g1^2*t^2.89)/g2^2 + g1^12*g2^4*t^2.9 + t^3. + (g2^8*t^3.43)/g1^8 + (g1^17*t^4.13)/g2 + (g1^5*t^4.23)/g2^5 + t^4.33/(g1^7*g2^9) + (g1*t^4.45)/g2 + t^4.54/(g1^11*g2^5) + g1^9*g2^7*t^4.57 + (g2^3*t^4.66)/g1^3 + t^4.76/(g1^15*g2) + (g2^7*t^4.88)/g1^7 + g1*g2^15*t^5. + (2*g1^8*t^5.57)/g2^8 + t^5.66/(g1^4*g2^12) + (2*g1^6*t^5.68)/g2^6 + g1^16*t^5.69 + t^5.76/(g1^16*g2^16) + t^5.77/(g1^6*g2^10) + (3*g1^4*t^5.78)/g2^4 + g1^14*g2^2*t^5.8 + g1^24*g2^8*t^5.81 + (g1^2*t^5.89)/g2^2 - 3*t^6. - t^6.1/(g1^12*g2^4) - g1^8*g2^8*t^6.12 + (g2^6*t^6.32)/g1^6 + (g2^16*t^6.87)/g1^16 + (2*g1^21*t^6.92)/g2^5 + (2*g1^9*t^7.01)/g2^9 + (g1^19*t^7.02)/g2^3 + g1^29*g2^3*t^7.04 + (2*t^7.11)/(g1^3*g2^13) + (g1^7*t^7.12)/g2^7 + (g1^17*t^7.13)/g2 + t^7.21/(g1^15*g2^17) + t^7.22/(g1^5*g2^11) + (2*g1^5*t^7.23)/g2^5 - g1^15*g2*t^7.24 + (2*t^7.33)/(g1^7*g2^9) + g1^13*g2^3*t^7.35 + t^7.42/(g1^19*g2^13) + (g1*t^7.45)/g2 + g1^11*g2^5*t^7.46 + g1^21*g2^11*t^7.47 + (2*t^7.54)/(g1^11*g2^5) + g1^9*g2^7*t^7.57 + t^7.64/(g1^23*g2^9) + (g2^3*t^7.66)/g1^3 - g1^7*g2^9*t^7.67 + t^7.76/(g1^15*g2) + g1^5*g2^11*t^7.78 - (g2*t^7.87)/g1^17 + (g2^7*t^7.88)/g1^7 + g1^3*g2^13*t^7.89 + g1^13*g2^19*t^7.9 - (g2^9*t^7.99)/g1^9 + g1*g2^15*t^8. - (g2^17*t^8.11)/g1 + (g2^7*t^8.19)/g1^23 + (g1^34*t^8.27)/g2^2 + (g2^15*t^8.31)/g1^15 + (2*g1^12*t^8.35)/g2^12 + (g1^22*t^8.36)/g2^6 + (g2^23*t^8.43)/g1^7 + t^8.45/g2^16 + (3*g1^10*t^8.46)/g2^10 + t^8.54/(g1^12*g2^20) + (2*t^8.56)/(g1^2*g2^14) + (3*g1^8*t^8.57)/g2^8 + (2*g1^18*t^8.58)/g2^2 + g1^28*g2^4*t^8.59 + t^8.64/(g1^24*g2^24) + (2*t^8.65)/(g1^14*g2^18) + t^8.66/(g1^4*g2^12) + (4*g1^6*t^8.68)/g2^6 + g1^16*t^8.69 + 2*g1^26*g2^6*t^8.7 + g1^36*g2^12*t^8.71 + t^8.77/(g1^6*g2^10) - (5*g1^4*t^8.78)/g2^4 + g1^14*g2^2*t^8.8 + t^8.87/(g1^18*g2^14) - (5*t^8.88)/(g1^8*g2^8) - (g1^2*t^8.89)/g2^2 - 4*g1^12*g2^4*t^8.9 - t^8.98/(g1^20*g2^12) + t^8.99/(g1^10*g2^6) - (g1*t^4.45)/(g2*y) - (g1^5*t^7.23)/(g2^5*y) - t^7.33/(g1^7*g2^9*y) - (g1^3*t^7.34)/(g2^3*y) - (g1^13*g2^3*t^7.35)/y + t^7.54/(g1^11*g2^5*y) + (g2*t^7.55)/(g1*y) + (g1^9*g2^7*t^7.57)/y + (g2^3*t^7.66)/(g1^3*y) + (g1^8*t^8.57)/(g2^8*y) + (2*t^8.66)/(g1^4*g2^12*y) + (2*g1^6*t^8.68)/(g2^6*y) + (2*g1^16*t^8.69)/y + t^8.77/(g1^6*g2^10*y) + (3*g1^4*t^8.78)/(g2^4*y) + (g1^14*g2^2*t^8.8)/y + t^8.88/(g1^8*g2^8*y) + (g1^2*t^8.89)/(g2^2*y) + (g1^12*g2^4*t^8.9)/y - (g1*t^4.45*y)/g2 - (g1^5*t^7.23*y)/g2^5 - (t^7.33*y)/(g1^7*g2^9) - (g1^3*t^7.34*y)/g2^3 - g1^13*g2^3*t^7.35*y + (t^7.54*y)/(g1^11*g2^5) + (g2*t^7.55*y)/g1 + g1^9*g2^7*t^7.57*y + (g2^3*t^7.66*y)/g1^3 + (g1^8*t^8.57*y)/g2^8 + (2*t^8.66*y)/(g1^4*g2^12) + (2*g1^6*t^8.68*y)/g2^6 + 2*g1^16*t^8.69*y + (t^8.77*y)/(g1^6*g2^10) + (3*g1^4*t^8.78*y)/g2^4 + g1^14*g2^2*t^8.8*y + (t^8.88*y)/(g1^8*g2^8) + (g1^2*t^8.89*y)/g2^2 + g1^12*g2^4*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 1565 | $M_1q_1q_2$ + $ 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$ + $ M_2M_4$ | 0.6978 | 0.8558 | 0.8154 | [X:[], M:[0.9244, 1.0378, 1.0, 0.9622, 1.0378, 0.9622], q:[0.5567, 0.5189], qb:[0.4433, 0.5189], phi:[0.4906]] | t^2.77 + 2*t^2.89 + t^2.94 + t^3. + t^3.11 + t^3.23 + t^4.13 + 2*t^4.36 + t^4.47 + 3*t^4.59 + 2*t^4.7 + t^4.81 + t^5.55 + t^5.66 + t^5.72 + 2*t^5.77 + 2*t^5.83 + 2*t^5.89 + t^5.94 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 2100 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1\tilde{q}_2$ | 0.6106 | 0.7803 | 0.7826 | [X:[], M:[0.9107, 0.8036, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6875, 0.4018], qb:[0.3125, 0.8839], phi:[0.4286]] | 2*t^2.14 + t^2.41 + t^2.57 + t^2.73 + t^3. + t^3.16 + t^3.43 + t^3.7 + 3*t^4.29 + 2*t^4.55 + 3*t^4.71 + t^4.82 + 2*t^4.88 + t^4.98 + 4*t^5.14 + 3*t^5.3 + t^5.41 + t^5.46 + 3*t^5.57 + t^5.73 + 2*t^5.84 + t^5.89 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 53619/87808, c: 68515/87808, M1: 51/56, M2: 45/56, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.46/y - t^4.46*y | detail |