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 |
|---|---|---|---|---|---|---|---|---|---|
| 962 | 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_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7198 | 0.8904 | 0.8084 | [X:[], M:[0.8037, 1.0654, 0.8691, 1.0, 1.0, 0.8691], q:[0.6636, 0.5327], qb:[0.4673, 0.4673], phi:[0.4673]] | [X:[], M:[[6, 6], [-2, -2], [3, 5], [1, -1], [-1, 1], [5, 3]], q:[[-5, -5], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_5$, $ M_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_1M_3$, $ M_6^2$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_3^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_4M_6$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_3M_5$, $ M_2M_6$, $ M_4\phi_1^2$, $ M_2M_3$, $ M_5\phi_1^2$ | $M_4^2$, $ M_5^2$ | -2 | t^2.41 + 2*t^2.61 + t^2.8 + 2*t^3. + t^3.2 + 3*t^4.21 + 2*t^4.4 + t^4.6 + 2*t^4.79 + t^4.82 + t^4.99 + 2*t^5.02 + 4*t^5.21 + t^5.38 + 2*t^5.41 + 5*t^5.61 + 2*t^5.8 - 2*t^6. - t^6.39 - 2*t^6.59 + 3*t^6.62 + 6*t^6.81 + 7*t^7.01 + 8*t^7.21 + t^7.23 + 4*t^7.4 + 2*t^7.43 + 2*t^7.6 + 4*t^7.63 + 6*t^7.82 + 5*t^8.02 + 6*t^8.21 + 4*t^8.41 - 2*t^8.61 - 3*t^8.8 - t^4.4/y - t^6.81/y - (2*t^7.01)/y + (2*t^7.79)/y + t^7.99/y + (2*t^8.02)/y + (2*t^8.21)/y + (4*t^8.41)/y + (5*t^8.61)/y + (4*t^8.8)/y - t^4.4*y - t^6.81*y - 2*t^7.01*y + 2*t^7.79*y + t^7.99*y + 2*t^8.02*y + 2*t^8.21*y + 4*t^8.41*y + 5*t^8.61*y + 4*t^8.8*y | g1^6*g2^6*t^2.41 + g1^5*g2^3*t^2.61 + g1^3*g2^5*t^2.61 + g1^2*g2^2*t^2.8 + (g1*t^3.)/g2 + (g2*t^3.)/g1 + t^3.2/(g1^2*g2^2) + g1^5*g2*t^4.21 + g1^3*g2^3*t^4.21 + g1*g2^5*t^4.21 + g1^2*t^4.4 + g2^2*t^4.4 + t^4.6/(g1*g2) + t^4.79/(g1^2*g2^4) + t^4.79/(g1^4*g2^2) + g1^12*g2^12*t^4.82 + t^4.99/(g1^5*g2^5) + g1^11*g2^9*t^5.02 + g1^9*g2^11*t^5.02 + g1^10*g2^6*t^5.21 + 2*g1^8*g2^8*t^5.21 + g1^6*g2^10*t^5.21 + t^5.38/(g1^9*g2^9) + g1^7*g2^5*t^5.41 + g1^5*g2^7*t^5.41 + g1^6*g2^2*t^5.61 + 3*g1^4*g2^4*t^5.61 + g1^2*g2^6*t^5.61 + g1^3*g2*t^5.8 + g1*g2^3*t^5.8 - 2*t^6. - t^6.39/(g1^4*g2^4) - t^6.59/(g1^5*g2^7) - t^6.59/(g1^7*g2^5) + g1^11*g2^7*t^6.62 + g1^9*g2^9*t^6.62 + g1^7*g2^11*t^6.62 + g1^10*g2^4*t^6.81 + 2*g1^8*g2^6*t^6.81 + 2*g1^6*g2^8*t^6.81 + g1^4*g2^10*t^6.81 + 2*g1^7*g2^3*t^7.01 + 3*g1^5*g2^5*t^7.01 + 2*g1^3*g2^7*t^7.01 + g1^6*t^7.21 + 3*g1^4*g2^2*t^7.21 + 3*g1^2*g2^4*t^7.21 + g2^6*t^7.21 + g1^18*g2^18*t^7.23 + (g1^3*t^7.4)/g2 + 2*g1*g2*t^7.4 + (g2^3*t^7.4)/g1 + g1^17*g2^15*t^7.43 + g1^15*g2^17*t^7.43 + t^7.6/g1^2 + t^7.6/g2^2 + g1^16*g2^12*t^7.63 + 2*g1^14*g2^14*t^7.63 + g1^12*g2^16*t^7.63 + g1^15*g2^9*t^7.82 + 2*g1^13*g2^11*t^7.82 + 2*g1^11*g2^13*t^7.82 + g1^9*g2^15*t^7.82 + g1^12*g2^8*t^8.02 + 3*g1^10*g2^10*t^8.02 + g1^8*g2^12*t^8.02 + g1^11*g2^5*t^8.21 + 2*g1^9*g2^7*t^8.21 + 2*g1^7*g2^9*t^8.21 + g1^5*g2^11*t^8.21 + g1^10*g2^2*t^8.41 + g1^8*g2^4*t^8.41 + g1^4*g2^8*t^8.41 + g1^2*g2^10*t^8.41 + g1^7*g2*t^8.61 - 2*g1^5*g2^3*t^8.61 - 2*g1^3*g2^5*t^8.61 + g1*g2^7*t^8.61 - 3*g1^2*g2^2*t^8.8 - (g1*g2*t^4.4)/y - (g1^7*g2^7*t^6.81)/y - (g1^6*g2^4*t^7.01)/y - (g1^4*g2^6*t^7.01)/y + t^7.79/(g1^2*g2^4*y) + t^7.79/(g1^4*g2^2*y) + t^7.99/(g1^5*g2^5*y) + (g1^11*g2^9*t^8.02)/y + (g1^9*g2^11*t^8.02)/y + (2*g1^8*g2^8*t^8.21)/y + (2*g1^7*g2^5*t^8.41)/y + (2*g1^5*g2^7*t^8.41)/y + (g1^6*g2^2*t^8.61)/y + (3*g1^4*g2^4*t^8.61)/y + (g1^2*g2^6*t^8.61)/y + (2*g1^3*g2*t^8.8)/y + (2*g1*g2^3*t^8.8)/y - g1*g2*t^4.4*y - g1^7*g2^7*t^6.81*y - g1^6*g2^4*t^7.01*y - g1^4*g2^6*t^7.01*y + (t^7.79*y)/(g1^2*g2^4) + (t^7.79*y)/(g1^4*g2^2) + (t^7.99*y)/(g1^5*g2^5) + g1^11*g2^9*t^8.02*y + g1^9*g2^11*t^8.02*y + 2*g1^8*g2^8*t^8.21*y + 2*g1^7*g2^5*t^8.41*y + 2*g1^5*g2^7*t^8.41*y + g1^6*g2^2*t^8.61*y + 3*g1^4*g2^4*t^8.61*y + g1^2*g2^6*t^8.61*y + 2*g1^3*g2*t^8.8*y + 2*g1*g2^3*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 1497 | $M_1q_1q_2$ + $ 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_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_7$ | 0.7209 | 0.8929 | 0.8074 | [X:[], M:[0.8043, 1.0652, 0.8464, 1.0231, 0.9769, 0.8926, 0.9769], q:[0.6631, 0.5326], qb:[0.4905, 0.4443], phi:[0.4674]] | t^2.41 + t^2.54 + t^2.68 + t^2.8 + 2*t^2.93 + t^3.2 + t^4.07 + t^4.21 + t^4.33 + t^4.35 + t^4.47 + t^4.6 + t^4.72 + t^4.83 + t^4.86 + t^4.95 + t^4.99 + t^5.08 + t^5.09 + 2*t^5.22 + 2*t^5.34 + t^5.36 + t^5.38 + 2*t^5.47 + 3*t^5.61 + 2*t^5.73 + 2*t^5.86 - 3*t^6. - t^4.4/y - t^4.4*y | detail | |
| 1496 | $M_1q_1q_2$ + $ 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_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.7141 | 0.8795 | 0.8119 | [X:[], M:[0.8237, 1.0588, 0.8824, 1.0, 1.0, 0.8824, 1.0588], q:[0.6469, 0.5294], qb:[0.4706, 0.4706], phi:[0.4706]] | t^2.47 + 2*t^2.65 + 2*t^3. + 2*t^3.18 + 3*t^4.24 + 2*t^4.41 + t^4.59 + 2*t^4.76 + 2*t^4.94 + 2*t^5.12 + 4*t^5.29 + 5*t^5.65 + 2*t^5.82 - 3*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 600 | 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_2\phi_1^2$ | 0.7101 | 0.8727 | 0.8137 | [X:[], M:[0.8432, 1.0523, 0.8729, 1.0226, 0.9774], q:[0.6307, 0.5261], qb:[0.4964, 0.4513], phi:[0.4739]] | t^2.53 + t^2.62 + t^2.84 + t^2.93 + t^3.07 + t^3.16 + t^3.25 + t^4.13 + t^4.26 + t^4.35 + t^4.4 + t^4.49 + t^4.58 + t^4.67 + t^4.8 + t^4.89 + t^5.06 + t^5.15 + t^5.21 + t^5.24 + t^5.37 + t^5.46 + t^5.55 + 2*t^5.69 + 2*t^5.78 + t^5.86 - 2*t^6. - t^4.42/y - t^4.42*y | detail |