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 |
|---|---|---|---|---|---|---|---|---|---|
| 228 | 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_1M_3$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | [X:[], M:[[-4, 4, 0], [0, -8, -4], [4, -4, 0], [-8, 0, -4]], q:[[-4, -4, 0], [8, 0, 0]], qb:[[0, 8, 0], [0, 0, 4]], phi:[[-1, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4^2$, $ M_2^2$, $ M_2M_4$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_1M_4$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | $M_1^2$, $ M_3^2$ | -3 | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. + t^6.04 + 2*t^6.45 + t^6.55 - t^6.62 + t^6.69 + 3*t^6.73 + t^6.76 + 4*t^7. + 2*t^7.04 + 2*t^7.07 + 4*t^7.14 + 3*t^7.31 + 3*t^7.35 + t^7.42 + 3*t^7.45 + 4*t^7.62 + 2*t^7.69 + 6*t^7.76 + 3*t^7.89 - 3*t^7.93 + 2*t^7.96 + t^8.04 + 4*t^8.07 - t^8.11 + t^8.14 - 2*t^8.27 + 2*t^8.31 - 4*t^8.38 + 2*t^8.42 - t^8.62 - 2*t^8.65 + t^8.66 - t^8.73 + t^8.76 + 3*t^8.83 + 4*t^8.96 - t^4.35/y - (2*t^6.73)/y - t^7.04/y + t^7.65/y + t^7.76/y + (2*t^7.96)/y + (2*t^8.07)/y + (4*t^8.38)/y + (2*t^8.65)/y + (2*t^8.69)/y + (2*t^8.73)/y + t^8.96/y - t^4.35*y - 2*t^6.73*y - t^7.04*y + t^7.65*y + t^7.76*y + 2*t^7.96*y + 2*t^8.07*y + 4*t^8.38*y + 2*t^8.65*y + 2*t^8.69*y + 2*t^8.73*y + t^8.96*y | t^2.38/(g1^8*g3^4) + t^2.38/(g2^8*g3^4) + t^2.69/(g1^2*g2^2*g3^2) + (g1^4*t^3.)/g2^4 + (g2^4*t^3.)/g1^4 + g1^8*g2^8*t^3.27 + (g3^4*t^3.35)/(g1^4*g2^4) + t^4.07/(g1^9*g2^9*g3) + (g1^3*t^4.35)/(g2^5*g3) + (g2^3*t^4.35)/(g1^5*g3) + (g1^15*t^4.62)/(g2*g3) + (g1^7*g2^7*t^4.62)/g3 + (g2^15*t^4.62)/(g1*g3) + (g3^3*t^4.69)/(g1^5*g2^5) + t^4.76/(g1^16*g3^8) + t^4.76/(g2^16*g3^8) + t^4.76/(g1^8*g2^8*g3^8) + (g1^7*g3^3*t^4.96)/g2 + (g2^7*g3^3*t^4.96)/g1 + t^5.07/(g1^2*g2^10*g3^6) + t^5.07/(g1^10*g2^2*g3^6) + (g3^7*t^5.31)/(g1*g2) + (g1^4*t^5.38)/(g2^12*g3^4) + (2*t^5.38)/(g1^4*g2^4*g3^4) + (g2^4*t^5.38)/(g1^12*g3^4) + (g1^2*t^5.69)/(g2^6*g3^2) + (g2^2*t^5.69)/(g1^6*g3^2) + (g1^6*g2^6*t^5.96)/g3^2 - 3*t^6. + (g3^2*t^6.04)/(g1^6*g2^6) + t^6.45/(g1^9*g2^17*g3^5) + t^6.45/(g1^17*g2^9*g3^5) + g1^16*g2^16*t^6.55 - g1^4*g2^4*g3^4*t^6.62 + (g3^8*t^6.69)/(g1^8*g2^8) + (g1^3*t^6.73)/(g2^13*g3^5) + t^6.73/(g1^5*g2^5*g3^5) + (g2^3*t^6.73)/(g1^13*g3^5) + t^6.76/(g1^11*g2^11*g3^3) + (g1^15*t^7.)/(g2^9*g3^5) + (g1^7*t^7.)/(g2*g3^5) + (g2^7*t^7.)/(g1*g3^5) + (g2^15*t^7.)/(g1^9*g3^5) + (g1*t^7.04)/(g2^7*g3^3) + (g2*t^7.04)/(g1^7*g3^3) + t^7.07/(g1^5*g2^13*g3) + t^7.07/(g1^13*g2^5*g3) + t^7.14/(g1^24*g3^12) + t^7.14/(g2^24*g3^12) + t^7.14/(g1^8*g2^16*g3^12) + t^7.14/(g1^16*g2^8*g3^12) + (g1^13*t^7.31)/(g2^3*g3^3) + (g1^5*g2^5*t^7.31)/g3^3 + (g2^13*t^7.31)/(g1^3*g3^3) + (g1^7*t^7.35)/(g2^9*g3) + t^7.35/(g1*g2*g3) + (g2^7*t^7.35)/(g1^9*g3) + (g3^3*t^7.42)/(g1^13*g2^13) + t^7.45/(g1^2*g2^18*g3^10) + t^7.45/(g1^10*g2^10*g3^10) + t^7.45/(g1^18*g2^2*g3^10) + (g1^19*t^7.62)/(g2^5*g3) + (g1^11*g2^3*t^7.62)/g3 + (g1^3*g2^11*t^7.62)/g3 + (g2^19*t^7.62)/(g1^5*g3) + (g3^3*t^7.69)/(g1*g2^9) + (g3^3*t^7.69)/(g1^9*g2) + (g1^4*t^7.76)/(g2^20*g3^8) + (2*t^7.76)/(g1^4*g2^12*g3^8) + (2*t^7.76)/(g1^12*g2^4*g3^8) + (g2^4*t^7.76)/(g1^20*g3^8) + (g1^23*g2^7*t^7.89)/g3 + (g1^15*g2^15*t^7.89)/g3 + (g1^7*g2^23*t^7.89)/g3 - g1^17*g2*g3*t^7.93 - g1^9*g2^9*g3*t^7.93 - g1*g2^17*g3*t^7.93 + (g1^11*g3^3*t^7.96)/g2^5 + (g2^11*g3^3*t^7.96)/g1^5 + (g3^7*t^8.04)/(g1^9*g2^9) + (g1^2*t^8.07)/(g2^14*g3^6) + (2*t^8.07)/(g1^6*g2^6*g3^6) + (g2^2*t^8.07)/(g1^14*g3^6) - t^8.11/(g1^12*g2^12*g3^4) + t^8.14/(g1^18*g2^18*g3^2) - g1^9*g2*g3^5*t^8.27 - g1*g2^9*g3^5*t^8.27 + (g1^3*g3^7*t^8.31)/g2^5 + (g2^3*g3^7*t^8.31)/g1^5 - (2*t^8.38)/(g1^8*g3^4) - (2*t^8.38)/(g2^8*g3^4) + t^8.42/(g1^6*g2^14*g3^2) + t^8.42/(g1^14*g2^6*g3^2) - g1*g2*g3^9*t^8.62 - (g1^12*t^8.65)/(g2^4*g3^4) - (g2^12*t^8.65)/(g1^4*g3^4) + (g3^11*t^8.66)/(g1^5*g2^5) + (g1^6*t^8.69)/(g2^10*g3^2) - (2*t^8.69)/(g1^2*g2^2*g3^2) + (g2^6*t^8.69)/(g1^10*g3^2) - t^8.73/(g1^8*g2^8) + (g3^2*t^8.76)/(g1^14*g2^14) + t^8.83/(g1^9*g2^25*g3^9) + t^8.83/(g1^17*g2^17*g3^9) + t^8.83/(g1^25*g2^9*g3^9) + (g1^18*t^8.96)/(g2^6*g3^2) + (g1^10*g2^2*t^8.96)/g3^2 + (g1^2*g2^10*t^8.96)/g3^2 + (g2^18*t^8.96)/(g1^6*g3^2) - t^4.35/(g1*g2*g3*y) - t^6.73/(g1*g2^9*g3^5*y) - t^6.73/(g1^9*g2*g3^5*y) - t^7.04/(g1^3*g2^3*g3^3*y) + (g1*g2*g3*t^7.65)/y + t^7.76/(g1^8*g2^8*g3^8*y) + (g1^7*g3^3*t^7.96)/(g2*y) + (g2^7*g3^3*t^7.96)/(g1*y) + t^8.07/(g1^2*g2^10*g3^6*y) + t^8.07/(g1^10*g2^2*g3^6*y) + (g1^4*t^8.38)/(g2^12*g3^4*y) + (2*t^8.38)/(g1^4*g2^4*g3^4*y) + (g2^4*t^8.38)/(g1^12*g3^4*y) + (g1^8*t^8.65)/(g3^4*y) + (g2^8*t^8.65)/(g3^4*y) + (g1^2*t^8.69)/(g2^6*g3^2*y) + (g2^2*t^8.69)/(g1^6*g3^2*y) + t^8.73/(g1^4*g2^12*y) + t^8.73/(g1^12*g2^4*y) + (g1^6*g2^6*t^8.96)/(g3^2*y) - (t^4.35*y)/(g1*g2*g3) - (t^6.73*y)/(g1*g2^9*g3^5) - (t^6.73*y)/(g1^9*g2*g3^5) - (t^7.04*y)/(g1^3*g2^3*g3^3) + g1*g2*g3*t^7.65*y + (t^7.76*y)/(g1^8*g2^8*g3^8) + (g1^7*g3^3*t^7.96*y)/g2 + (g2^7*g3^3*t^7.96*y)/g1 + (t^8.07*y)/(g1^2*g2^10*g3^6) + (t^8.07*y)/(g1^10*g2^2*g3^6) + (g1^4*t^8.38*y)/(g2^12*g3^4) + (2*t^8.38*y)/(g1^4*g2^4*g3^4) + (g2^4*t^8.38*y)/(g1^12*g3^4) + (g1^8*t^8.65*y)/g3^4 + (g2^8*t^8.65*y)/g3^4 + (g1^2*t^8.69*y)/(g2^6*g3^2) + (g2^2*t^8.69*y)/(g1^6*g3^2) + (t^8.73*y)/(g1^4*g2^12) + (t^8.73*y)/(g1^12*g2^4) + (g1^6*g2^6*t^8.96*y)/g3^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 366 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ | 0.6975 | 0.8554 | 0.8154 | [X:[], M:[0.9458, 1.0181, 1.0542, 0.9096], q:[0.4896, 0.5646], qb:[0.4562, 0.5258], phi:[0.491]] | t^2.73 + t^2.84 + t^2.95 + 2*t^3.05 + t^3.06 + t^3.16 + t^4.21 + t^4.31 + t^4.41 + t^4.42 + t^4.52 + t^4.54 + t^4.63 + t^4.64 + t^4.74 + t^4.86 + t^5.46 + t^5.57 + t^5.67 + 2*t^5.78 + 2*t^5.89 + t^5.99 - 2*t^6. - t^4.47/y - t^4.47*y | detail | |
| 365 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ | 0.7284 | 0.8958 | 0.8131 | [X:[], M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.93 + t^3.28 + t^3.34 + t^4.07 + t^4.27 + t^4.42 + t^4.47 + t^4.61 + t^4.62 + t^4.69 + t^4.76 + t^4.77 + t^4.89 + t^4.91 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.31 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 + t^5.97 - 4*t^6. - t^4.35/y - t^4.35*y | detail | |
| 1746 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 1749 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.7123 | 0.8829 | 0.8068 | [X:[], M:[1.0, 0.6935, 1.0, 0.6935], q:[0.4818, 0.5182], qb:[0.5182, 0.7883], phi:[0.4234]] | 2*t^2.08 + t^2.54 + 2*t^3. + t^3.11 + t^3.81 + 4*t^4.16 + 2*t^4.27 + 3*t^4.38 + 2*t^4.62 + 5*t^5.08 + 2*t^5.19 + 2*t^5.54 + t^5.65 - 2*t^6. - t^4.27/y - t^4.27*y | detail | |
| 367 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[1.0, 0.7947, 1.0, 0.7947], q:[0.4487, 0.5513], qb:[0.5513, 0.654], phi:[0.4487]] | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 138 | 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$ | 0.7722 | 0.9495 | 0.8132 | [X:[], M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.32 + 2*t^3.68 + 15*t^4.65 + 10*t^4.84 - 6*t^6. - t^4.16/y - t^4.16*y | detail |