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 |
|---|---|---|---|---|---|---|---|---|---|
| 2890 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6466 | 0.8507 | 0.76 | [X:[], M:[1.0, 1.0338, 0.9324, 1.0338, 0.7334, 0.7159, 0.6996], q:[0.7584, 0.2416], qb:[0.542, 0.5256], phi:[0.4831]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [-1, -9], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_6M_7$, $ M_6^2$, $ M_5M_7$, $ M_5M_6$, $ M_5^2$, $ M_7q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_7$, $ M_3M_6$, $ M_3M_5$, $ M_1M_7$, $ M_1M_6$, $ M_1M_5$, $ M_2M_7$, $ M_4M_7$, $ M_2M_6$, $ M_4M_6$, $ M_2M_5$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3^2$, $ M_1M_3$, $ M_7\phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_3M_4$, $ M_6\phi_1q_2\tilde{q}_2$ | . | -3 | t^2.1 + t^2.15 + t^2.2 + t^2.3 + t^2.35 + t^2.8 + t^3. + 2*t^3.1 + t^3.75 + t^4.2 + t^4.25 + 2*t^4.3 + t^4.35 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.6 + 2*t^4.65 + 2*t^4.7 + t^4.9 + t^4.95 + t^5. + t^5.1 + t^5.15 + 3*t^5.2 + 2*t^5.25 + 3*t^5.3 + t^5.35 + 2*t^5.4 + 2*t^5.45 + t^5.59 + t^5.8 + t^5.85 + 2*t^5.9 - 3*t^6. + 2*t^6.1 + 2*t^6.2 + t^6.3 + t^6.35 + t^6.39 + t^6.4 + t^6.44 + t^6.45 + 3*t^6.5 + 3*t^6.55 + 3*t^6.6 + 2*t^6.65 + 3*t^6.7 + 4*t^6.75 + 4*t^6.8 + 4*t^6.85 + 2*t^6.9 + 2*t^6.95 + t^6.99 + 2*t^7. + t^7.04 + 2*t^7.05 + t^7.09 + t^7.1 + t^7.15 + 2*t^7.2 + t^7.25 + 4*t^7.3 + 3*t^7.35 + 6*t^7.4 + 2*t^7.45 + 6*t^7.5 + 2*t^7.55 + 4*t^7.6 + 2*t^7.65 + t^7.69 + 4*t^7.7 + t^7.74 + 3*t^7.75 + t^7.79 + 3*t^7.8 + t^7.9 + 2*t^7.95 + 3*t^8. + 2*t^8.05 - 2*t^8.1 - 3*t^8.15 - 2*t^8.2 - t^8.3 - t^8.35 + t^8.39 + 3*t^8.4 + t^8.44 + t^8.45 + t^8.49 + 2*t^8.5 + t^8.54 + 2*t^8.55 + 3*t^8.59 + 2*t^8.6 + t^8.64 + 3*t^8.65 + 5*t^8.7 + t^8.74 + 2*t^8.75 + t^8.79 + t^8.8 + 4*t^8.85 + 6*t^8.9 + 5*t^8.95 - t^4.45/y - t^6.55/y - t^6.6/y - t^6.65/y + t^7.3/y + (2*t^7.35)/y + t^7.4/y + (2*t^7.45)/y + (2*t^7.5)/y + (2*t^7.65)/y + t^7.9/y + t^7.95/y + t^8./y + (2*t^8.1)/y + (2*t^8.15)/y + (3*t^8.2)/y + (3*t^8.25)/y + (4*t^8.3)/y + (2*t^8.35)/y + (2*t^8.4)/y + (2*t^8.45)/y - t^8.65/y - t^8.7/y - t^8.74/y - t^8.75/y + (3*t^8.9)/y + t^8.95/y - t^4.45*y - t^6.55*y - t^6.6*y - t^6.65*y + t^7.3*y + 2*t^7.35*y + t^7.4*y + 2*t^7.45*y + 2*t^7.5*y + 2*t^7.65*y + t^7.9*y + t^7.95*y + t^8.*y + 2*t^8.1*y + 2*t^8.15*y + 3*t^8.2*y + 3*t^8.25*y + 4*t^8.3*y + 2*t^8.35*y + 2*t^8.4*y + 2*t^8.45*y - t^8.65*y - t^8.7*y - t^8.74*y - t^8.75*y + 3*t^8.9*y + t^8.95*y | t^2.1/(g1^9*g2) + t^2.15/(g1*g2^9) + (g2^3*t^2.2)/g1^5 + (g2^7*t^2.3)/g1 + (g1^7*t^2.35)/g2 + t^2.8/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.1 + (g2^5*t^3.75)/g1^3 + t^4.2/(g1^18*g2^2) + t^4.25/(g1^10*g2^10) + t^4.3/(g1^2*g2^18) + (g2^2*t^4.3)/g1^14 + t^4.35/(g1^6*g2^6) + (2*g2^6*t^4.4)/g1^10 + (2*t^4.45)/(g1^2*g2^2) + (g1^6*t^4.5)/g2^10 + (g2^10*t^4.5)/g1^6 + g1^2*g2^2*t^4.55 + (2*g2^14*t^4.6)/g1^2 + 2*g1^6*g2^6*t^4.65 + (2*g1^14*t^4.7)/g2^2 + t^4.9/(g1^17*g2^9) + t^4.95/(g1^9*g2^17) + t^5./(g1^13*g2^5) + t^5.1/(g1^9*g2) + t^5.15/(g1*g2^9) + (3*g2^3*t^5.2)/g1^5 + (2*g1^3*t^5.25)/g2^5 + (3*g2^7*t^5.3)/g1 + (g1^7*t^5.35)/g2 + 2*g1^3*g2^11*t^5.4 + 2*g1^11*g2^3*t^5.45 + t^5.59/(g1^16*g2^16) + t^5.8/(g1^8*g2^8) + (g2^4*t^5.85)/g1^12 + (2*t^5.9)/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.05)/g2^8 + (g2^12*t^6.05)/g1^4 + 2*g1^4*g2^4*t^6.1 + 2*g1^8*g2^8*t^6.2 + t^6.3/(g1^27*g2^3) + t^6.35/(g1^19*g2^11) + t^6.39/(g1^11*g2^19) + (g2*t^6.4)/g1^23 + t^6.44/(g1^3*g2^27) + t^6.45/(g1^15*g2^7) + t^6.5/(g1^7*g2^15) + (2*g2^5*t^6.5)/g1^19 + (3*t^6.55)/(g1^11*g2^3) + t^6.6/(g1^3*g2^11) + (2*g2^9*t^6.6)/g1^15 + (g1^5*t^6.65)/g2^19 + (g2*t^6.65)/g1^7 + (3*g2^13*t^6.7)/g1^11 + (4*g2^5*t^6.75)/g1^3 + (2*g1^5*t^6.8)/g2^3 + (2*g2^17*t^6.8)/g1^7 + (2*g1^13*t^6.85)/g2^11 + 2*g1*g2^9*t^6.85 + (2*g2^21*t^6.9)/g1^3 + 2*g1^5*g2^13*t^6.95 + t^6.99/(g1^26*g2^10) + 2*g1^13*g2^5*t^7. + t^7.04/(g1^18*g2^18) + (2*g1^21*t^7.05)/g2^3 + t^7.09/(g1^10*g2^26) + t^7.1/(g1^22*g2^6) + t^7.15/(g1^14*g2^14) + (2*t^7.2)/(g1^18*g2^2) + t^7.25/(g1^10*g2^10) + t^7.3/(g1^2*g2^18) + (3*g2^2*t^7.3)/g1^14 + (3*t^7.35)/(g1^6*g2^6) + (2*g1^2*t^7.4)/g2^14 + (4*g2^6*t^7.4)/g1^10 + (2*t^7.45)/(g1^2*g2^2) + (g1^6*t^7.5)/g2^10 + (5*g2^10*t^7.5)/g1^6 + 2*g1^2*g2^2*t^7.55 + (g1^10*t^7.6)/g2^6 + (3*g2^14*t^7.6)/g1^2 + 2*g1^6*g2^6*t^7.65 + t^7.69/(g1^25*g2^17) + (g1^14*t^7.7)/g2^2 + 3*g1^2*g2^18*t^7.7 + t^7.74/(g1^17*g2^25) + 3*g1^10*g2^10*t^7.75 + t^7.79/(g1^21*g2^13) + 3*g1^18*g2^2*t^7.8 + t^7.9/(g1^17*g2^9) + t^7.95/(g1^9*g2^17) + (g2^3*t^7.95)/g1^21 + (3*t^8.)/(g1^13*g2^5) + (2*t^8.05)/(g1^5*g2^13) - (2*t^8.1)/(g1^9*g2) - (4*t^8.15)/(g1*g2^9) + (g2^11*t^8.15)/g1^13 - (g1^7*t^8.2)/g2^17 - (g2^3*t^8.2)/g1^5 - (g2^7*t^8.3)/g1 - (3*g1^7*t^8.35)/g2 + (2*g2^19*t^8.35)/g1^5 + t^8.39/(g1^24*g2^24) - (g1^15*t^8.4)/g2^9 + t^8.4/(g1^36*g2^4) + 3*g1^3*g2^11*t^8.4 + t^8.44/(g1^28*g2^12) + g1^11*g2^3*t^8.45 + t^8.49/(g1^20*g2^20) + t^8.5/g1^32 + g1^7*g2^15*t^8.5 + t^8.54/(g1^12*g2^28) + t^8.55/(g1^24*g2^8) + g1^15*g2^7*t^8.55 + t^8.59/(g1^4*g2^36) + (2*t^8.59)/(g1^16*g2^16) + (2*g2^4*t^8.6)/g1^28 + t^8.64/(g1^8*g2^24) + (3*t^8.65)/(g1^20*g2^4) + (3*t^8.7)/(g1^12*g2^12) + (2*g2^8*t^8.7)/g1^24 + t^8.74/(g1^4*g2^20) + (2*t^8.75)/g1^16 + (g1^4*t^8.79)/g2^28 - (3*t^8.8)/(g1^8*g2^8) + (4*g2^12*t^8.8)/g1^20 + (4*g2^4*t^8.85)/g1^12 + (3*t^8.9)/(g1^4*g2^4) + (3*g2^16*t^8.9)/g1^16 + (2*g1^4*t^8.95)/g2^12 + (3*g2^8*t^8.95)/g1^8 - t^4.45/(g1^2*g2^2*y) - t^6.55/(g1^11*g2^3*y) - t^6.6/(g1^3*g2^11*y) - (g2*t^6.65)/(g1^7*y) + (g2^2*t^7.3)/(g1^14*y) + (2*t^7.35)/(g1^6*g2^6*y) + (g2^6*t^7.4)/(g1^10*y) + (2*t^7.45)/(g1^2*g2^2*y) + (g1^6*t^7.5)/(g2^10*y) + (g2^10*t^7.5)/(g1^6*y) + (2*g1^6*g2^6*t^7.65)/y + t^7.9/(g1^17*g2^9*y) + t^7.95/(g1^9*g2^17*y) + t^8./(g1^13*g2^5*y) + (2*t^8.1)/(g1^9*g2*y) + (2*t^8.15)/(g1*g2^9*y) + (3*g2^3*t^8.2)/(g1^5*y) + (3*g1^3*t^8.25)/(g2^5*y) + (4*g2^7*t^8.3)/(g1*y) + (2*g1^7*t^8.35)/(g2*y) + (2*g1^3*g2^11*t^8.4)/y + (2*g1^11*g2^3*t^8.45)/y - t^8.65/(g1^20*g2^4*y) - t^8.7/(g1^12*g2^12*y) - t^8.74/(g1^4*g2^20*y) - t^8.75/(g1^16*y) + (3*t^8.9)/(g1^4*g2^4*y) + (g2^8*t^8.95)/(g1^8*y) - (t^4.45*y)/(g1^2*g2^2) - (t^6.55*y)/(g1^11*g2^3) - (t^6.6*y)/(g1^3*g2^11) - (g2*t^6.65*y)/g1^7 + (g2^2*t^7.3*y)/g1^14 + (2*t^7.35*y)/(g1^6*g2^6) + (g2^6*t^7.4*y)/g1^10 + (2*t^7.45*y)/(g1^2*g2^2) + (g1^6*t^7.5*y)/g2^10 + (g2^10*t^7.5*y)/g1^6 + 2*g1^6*g2^6*t^7.65*y + (t^7.9*y)/(g1^17*g2^9) + (t^7.95*y)/(g1^9*g2^17) + (t^8.*y)/(g1^13*g2^5) + (2*t^8.1*y)/(g1^9*g2) + (2*t^8.15*y)/(g1*g2^9) + (3*g2^3*t^8.2*y)/g1^5 + (3*g1^3*t^8.25*y)/g2^5 + (4*g2^7*t^8.3*y)/g1 + (2*g1^7*t^8.35*y)/g2 + 2*g1^3*g2^11*t^8.4*y + 2*g1^11*g2^3*t^8.45*y - (t^8.65*y)/(g1^20*g2^4) - (t^8.7*y)/(g1^12*g2^12) - (t^8.74*y)/(g1^4*g2^20) - (t^8.75*y)/g1^16 + (3*t^8.9*y)/(g1^4*g2^4) + (g2^8*t^8.95*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3461 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_3M_7$ | 0.6141 | 0.8146 | 0.7539 | [X:[], M:[1.0, 0.931, 1.1379, 0.931, 0.7931, 0.8104, 0.8621], q:[0.7328, 0.2672], qb:[0.4052, 0.4569], phi:[0.5345]] | t^2.02 + t^2.17 + t^2.38 + t^2.43 + t^2.59 + 2*t^2.79 + t^3. + t^3.41 + t^3.78 + 2*t^4.03 + 2*t^4.19 + 2*t^4.34 + t^4.4 + t^4.45 + t^4.55 + 2*t^4.6 + 2*t^4.76 + 3*t^4.81 + t^4.86 + 3*t^4.97 + 2*t^5.02 + 4*t^5.17 + 2*t^5.22 + 3*t^5.38 + t^5.43 + 3*t^5.59 + 3*t^5.79 + t^5.95 - 2*t^6. - t^4.6/y - t^4.6*y | detail | |
| 3462 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_3M_8$ | 0.6433 | 0.8468 | 0.7596 | [X:[], M:[1.0, 1.0012, 0.9977, 1.0012, 0.7409, 0.7573, 0.7397, 1.0023], q:[0.7503, 0.2497], qb:[0.51, 0.4924], phi:[0.4994]] | 2*t^2.22 + t^2.23 + t^2.27 + t^2.28 + 3*t^3. + t^3.01 + t^3.72 + 2*t^4.44 + 5*t^4.45 + 2*t^4.49 + 3*t^4.5 + 2*t^4.51 + t^4.54 + t^4.55 + 2*t^4.56 + 3*t^5.22 + 8*t^5.23 + 6*t^5.28 + t^5.29 + t^5.94 + t^5.95 - t^6. - t^4.5/y - t^4.5*y | detail | |
| 3463 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6453 | 0.8481 | 0.761 | [X:[], M:[1.0, 1.0259, 0.9482, 1.0259, 0.7565, 0.7047, 0.7306], q:[0.7565, 0.2435], qb:[0.5129, 0.5388], phi:[0.4871]] | t^2.11 + t^2.19 + 2*t^2.27 + t^2.35 + t^2.84 + t^3. + 2*t^3.08 + t^3.81 + t^4.23 + t^4.31 + 3*t^4.38 + 3*t^4.46 + 5*t^4.54 + 3*t^4.62 + 2*t^4.69 + t^4.96 + t^5.04 + 2*t^5.11 + 3*t^5.19 + 4*t^5.27 + 5*t^5.35 + 2*t^5.42 + t^5.69 + t^5.84 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1877 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6261 | 0.8118 | 0.7713 | [X:[], M:[1.0, 1.029, 0.942, 1.029, 0.7395, 0.717], q:[0.7572, 0.2428], qb:[0.5322, 0.5257], phi:[0.4855]] | t^2.15 + t^2.22 + t^2.31 + t^2.32 + t^2.83 + t^3. + 2*t^3.09 + t^3.76 + t^3.87 + t^4.3 + t^4.37 + t^4.44 + t^4.46 + t^4.48 + t^4.52 + t^4.54 + 2*t^4.61 + 2*t^4.63 + 2*t^4.65 + t^4.98 + t^5.04 + t^5.15 + t^5.22 + 2*t^5.24 + 3*t^5.31 + t^5.32 + 2*t^5.39 + 2*t^5.41 + t^5.65 + t^5.83 + 2*t^5.91 - 3*t^6. - t^4.46/y - t^4.46*y | detail |