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 |
|---|---|---|---|---|---|---|---|---|---|
| 2353 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5X_1$ + $ M_4M_7$ | 0.6711 | 0.8492 | 0.7903 | [X:[1.5139], M:[0.8492, 0.7877, 0.9107, 1.2123, 0.4861, 0.7262, 0.7877], q:[0.7877, 0.3631], qb:[0.4246, 0.7262], phi:[0.4246]] | [X:[[7]], M:[[-4], [1], [-9], [-1], [-7], [6], [1]], q:[[1], [3]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_2$, $ M_7$, $ M_1$, $ \phi_1^2$, $ M_3$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_2^2$, $ M_1M_6$, $ M_2M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_6$, $ M_1M_7$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1^2$, $ M_2M_3$, $ M_3M_7$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_3^2$, $ M_6\phi_1q_2^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_6\phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_7\tilde{q}_1\tilde{q}_2$ | $\phi_1^3q_2^2$, $ M_2\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$ | 2 | t^2.18 + 2*t^2.36 + 2*t^2.55 + t^2.73 + 2*t^3.45 + t^3.64 + t^4.36 + 4*t^4.54 + 6*t^4.73 + 4*t^4.91 + 4*t^5.1 + 2*t^5.28 + t^5.46 + 3*t^5.63 + 4*t^5.82 + 2*t^6. + t^6.54 + 4*t^6.72 + 9*t^6.9 + 9*t^7.09 + 7*t^7.27 + 7*t^7.46 + 7*t^7.64 + 3*t^7.81 + 4*t^7.83 + 7*t^7.99 + 2*t^8.01 + 6*t^8.18 + t^8.2 - 3*t^8.36 - 3*t^8.55 + t^8.71 - 3*t^8.73 + 4*t^8.9 - 2*t^8.92 - t^4.27/y - t^6.45/y - t^6.64/y - (2*t^6.82)/y - t^7.01/y + (3*t^7.54)/y + (5*t^7.73)/y + (6*t^7.91)/y + (4*t^8.1)/y + (2*t^8.28)/y + t^8.63/y + (4*t^8.82)/y - t^4.27*y - t^6.45*y - t^6.64*y - 2*t^6.82*y - t^7.01*y + 3*t^7.54*y + 5*t^7.73*y + 6*t^7.91*y + 4*t^8.1*y + 2*t^8.28*y + t^8.63*y + 4*t^8.82*y | g1^6*t^2.18 + 2*g1*t^2.36 + (2*t^2.55)/g1^4 + t^2.73/g1^9 + 2*g1^4*t^3.45 + t^3.64/g1 + g1^12*t^4.36 + 4*g1^7*t^4.54 + 6*g1^2*t^4.73 + (4*t^4.91)/g1^3 + (4*t^5.1)/g1^8 + (2*t^5.28)/g1^13 + t^5.46/g1^18 + 3*g1^10*t^5.63 + 4*g1^5*t^5.82 + 2*t^6. + g1^18*t^6.54 + 4*g1^13*t^6.72 + 9*g1^8*t^6.9 + 9*g1^3*t^7.09 + (7*t^7.27)/g1^2 + (7*t^7.46)/g1^7 + (7*t^7.64)/g1^12 + 3*g1^16*t^7.81 + (4*t^7.83)/g1^17 + 7*g1^11*t^7.99 + (2*t^8.01)/g1^22 + 6*g1^6*t^8.18 + t^8.2/g1^27 - 3*g1*t^8.36 - (3*t^8.55)/g1^4 + g1^24*t^8.71 - (3*t^8.73)/g1^9 + 4*g1^19*t^8.9 - (2*t^8.92)/g1^14 - t^4.27/(g1^2*y) - (g1^4*t^6.45)/y - t^6.64/(g1*y) - (2*t^6.82)/(g1^6*y) - t^7.01/(g1^11*y) + (3*g1^7*t^7.54)/y + (5*g1^2*t^7.73)/y + (6*t^7.91)/(g1^3*y) + (4*t^8.1)/(g1^8*y) + (2*t^8.28)/(g1^13*y) + (g1^10*t^8.63)/y + (4*g1^5*t^8.82)/y - (t^4.27*y)/g1^2 - g1^4*t^6.45*y - (t^6.64*y)/g1 - (2*t^6.82*y)/g1^6 - (t^7.01*y)/g1^11 + 3*g1^7*t^7.54*y + 5*g1^2*t^7.73*y + (6*t^7.91*y)/g1^3 + (4*t^8.1*y)/g1^8 + (2*t^8.28*y)/g1^13 + g1^10*t^8.63*y + 4*g1^5*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4349 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5X_1$ + $ M_4M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6883 | 0.8798 | 0.7823 | [X:[1.5103], M:[0.8513, 0.7872, 0.9154, 1.2128, 0.4897, 0.7231, 0.7872, 0.7872], q:[0.7872, 0.3615], qb:[0.4256, 0.7231], phi:[0.4256]] | t^2.17 + 3*t^2.36 + 2*t^2.55 + t^2.75 + 2*t^3.45 + t^4.34 + 5*t^4.53 + 9*t^4.72 + 6*t^4.92 + 5*t^5.11 + 2*t^5.3 + t^5.49 + 3*t^5.62 + 5*t^5.81 - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1299 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ + $ M_6\phi_1\tilde{q}_1^2$ + $ \phi_1q_1^2$ + $ M_5X_1$ | 0.6539 | 0.8186 | 0.7988 | [X:[1.5176], M:[0.8471, 0.7882, 0.9059, 1.2118, 0.4824, 0.7294], q:[0.7882, 0.3647], qb:[0.4235, 0.7294], phi:[0.4235]] | t^2.19 + t^2.36 + 2*t^2.54 + t^2.72 + 2*t^3.46 + 2*t^3.64 + t^4.38 + 3*t^4.55 + 4*t^4.73 + 2*t^4.91 + 3*t^5.08 + 2*t^5.26 + t^5.44 + 3*t^5.65 + 3*t^5.82 + 2*t^6. - t^4.27/y - t^4.27*y | detail |