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 |
|---|---|---|---|---|---|---|---|---|---|
| 1464 | 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ | 0.6692 | 0.8294 | 0.8069 | [X:[1.4271], M:[1.0, 0.7083, 0.5729, 1.1353, 0.8647, 0.8647], q:[0.6459, 0.3541], qb:[0.7812, 0.5105], phi:[0.4271]] | [X:[[1]], M:[[0], [4], [-1], [5], [-5], [-5]], q:[[-2], [2]], qb:[[3], [-7]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_5$, $ M_6$, $ M_1$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ X_1$, $ \phi_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ M_2M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1^4$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_5$, $ M_1M_6$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$ | . | -1 | t^2.12 + t^2.56 + 2*t^2.59 + t^3. + t^3.41 + t^3.47 + t^3.88 + t^4.25 + 2*t^4.28 + t^4.34 + 2*t^4.69 + t^4.72 + t^4.75 + t^5.12 + 4*t^5.16 + 2*t^5.19 + 2*t^5.56 + t^5.59 + 2*t^5.97 - t^6. + t^6.03 + 2*t^6.06 + t^6.37 + t^6.44 + 2*t^6.47 + t^6.81 + 2*t^6.84 + 2*t^6.88 + t^6.91 + 3*t^6.94 + 2*t^7.25 + 3*t^7.28 + t^7.31 + 3*t^7.34 + 2*t^7.69 + 2*t^7.72 + 7*t^7.75 + t^7.78 + t^7.81 + t^8.09 - 2*t^8.12 + 4*t^8.16 - t^8.19 + 2*t^8.22 + t^8.5 + t^8.53 + 3*t^8.56 - 6*t^8.59 + 5*t^8.63 + 2*t^8.66 + t^8.69 + t^8.94 + 2*t^8.97 - t^4.28/y - t^6.41/y - t^6.84/y - t^6.88/y + (2*t^7.69)/y + (3*t^7.72)/y + t^8.12/y + (3*t^8.16)/y + t^8.19/y + t^8.56/y + (3*t^8.59)/y - t^4.28*y - t^6.41*y - t^6.84*y - t^6.88*y + 2*t^7.69*y + 3*t^7.72*y + t^8.12*y + 3*t^8.16*y + t^8.19*y + t^8.56*y + 3*t^8.59*y | g1^4*t^2.12 + g1^2*t^2.56 + (2*t^2.59)/g1^5 + t^3. + g1^5*t^3.41 + t^3.47/g1^9 + t^3.88/g1^4 + g1^8*t^4.25 + 2*g1*t^4.28 + t^4.34/g1^13 + 2*g1^6*t^4.69 + t^4.72/g1 + t^4.75/g1^8 + g1^4*t^5.12 + (4*t^5.16)/g1^3 + (2*t^5.19)/g1^10 + 2*g1^2*t^5.56 + t^5.59/g1^5 + 2*g1^7*t^5.97 - t^6. + t^6.03/g1^7 + (2*t^6.06)/g1^14 + g1^12*t^6.37 + t^6.44/g1^2 + (2*t^6.47)/g1^9 + g1^10*t^6.81 + 2*g1^3*t^6.84 + (2*t^6.88)/g1^4 + t^6.91/g1^11 + (3*t^6.94)/g1^18 + 2*g1^8*t^7.25 + 3*g1*t^7.28 + t^7.31/g1^6 + (3*t^7.34)/g1^13 + 2*g1^6*t^7.69 + (2*t^7.72)/g1 + (7*t^7.75)/g1^8 + t^7.78/g1^15 + t^7.81/g1^22 + g1^11*t^8.09 - 2*g1^4*t^8.12 + (4*t^8.16)/g1^3 - t^8.19/g1^10 + (2*t^8.22)/g1^17 + g1^16*t^8.5 + g1^9*t^8.53 + 3*g1^2*t^8.56 - (6*t^8.59)/g1^5 + (5*t^8.63)/g1^12 + (2*t^8.66)/g1^19 + t^8.69/g1^26 + g1^14*t^8.94 + 2*g1^7*t^8.97 - (g1*t^4.28)/y - (g1^5*t^6.41)/y - (g1^3*t^6.84)/y - t^6.88/(g1^4*y) + (2*g1^6*t^7.69)/y + (3*t^7.72)/(g1*y) + (g1^4*t^8.12)/y + (3*t^8.16)/(g1^3*y) + t^8.19/(g1^10*y) + (g1^2*t^8.56)/y + (3*t^8.59)/(g1^5*y) - g1*t^4.28*y - g1^5*t^6.41*y - g1^3*t^6.84*y - (t^6.88*y)/g1^4 + 2*g1^6*t^7.69*y + (3*t^7.72*y)/g1 + g1^4*t^8.12*y + (3*t^8.16*y)/g1^3 + (t^8.19*y)/g1^10 + g1^2*t^8.56*y + (3*t^8.59*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2548 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_5M_7$ | 0.6579 | 0.8094 | 0.8129 | [X:[1.4235], M:[1.0, 0.6941, 0.5765, 1.1176, 0.8824, 0.8824, 1.1176], q:[0.653, 0.347], qb:[0.7705, 0.5354], phi:[0.4235]] | t^2.08 + t^2.54 + t^2.65 + t^3. + 2*t^3.35 + t^3.57 + t^3.92 + t^4.16 + 2*t^4.27 + t^4.48 + 2*t^4.62 + t^4.84 + t^5.08 + 3*t^5.19 + t^5.43 + 2*t^5.54 + 3*t^5.89 - t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 951 | 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_1^2$ + $ M_6\phi_1q_2^2$ | 0.7409 | 0.9251 | 0.8009 | [X:[], M:[1.0, 0.8474, 0.8238, 1.0236, 0.9764, 0.6908], q:[0.5763, 0.4237], qb:[0.5999, 0.5527], phi:[0.4618]] | t^2.07 + t^2.47 + t^2.54 + t^2.77 + t^2.93 + t^3. + t^3.07 + t^3.39 + t^4.14 + t^4.31 + t^4.39 + t^4.46 + t^4.54 + t^4.61 + t^4.7 + t^4.77 + 3*t^4.84 + t^4.91 + t^4.94 + t^4.99 + t^5. + t^5.01 + t^5.07 + t^5.08 + t^5.14 + t^5.24 + t^5.31 + t^5.4 + t^5.46 + t^5.47 + 2*t^5.54 + t^5.7 + t^5.77 + t^5.84 + t^5.86 - 2*t^6. - t^4.39/y - t^4.39*y | detail |