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 |
|---|---|---|---|---|---|---|---|---|---|
| 3824 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6422 | 0.8219 | 0.7814 | [X:[1.376], M:[0.624, 1.1253, 0.7911, 1.0418, 0.9582, 0.688, 0.7076], q:[0.7813, 0.5946], qb:[0.6142, 0.2604], phi:[0.4373]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [18], [-28]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_2$, $ M_6^2$, $ X_1$, $ M_6M_7$, $ q_1\tilde{q}_1$, $ M_7^2$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_7$, $ M_6q_2\tilde{q}_2$, $ M_6\phi_1^2$, $ M_7q_2\tilde{q}_2$, $ M_3^2$, $ M_7\phi_1^2$, $ \phi_1q_2^2$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_5M_7$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_7$, $ \phi_1^4$, $ M_2M_6$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_3M_4$, $ M_2M_7$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_2M_3$, $ M_5^2$, $ M_4\phi_1^2$ | . | -1 | t^2.06 + t^2.12 + t^2.37 + t^2.57 + t^2.62 + t^2.87 + t^3.13 + t^3.38 + 2*t^4.13 + 2*t^4.19 + t^4.25 + t^4.44 + t^4.5 + t^4.63 + 2*t^4.69 + 2*t^4.75 + t^4.88 + 2*t^4.94 + 2*t^5. + t^5.13 + 2*t^5.19 + 3*t^5.25 + 2*t^5.44 + 3*t^5.5 + t^5.69 + 2*t^5.75 - t^6. - t^6.06 + 2*t^6.19 + 3*t^6.25 + t^6.31 + t^6.37 + t^6.5 + t^6.56 + t^6.62 + 2*t^6.69 + 3*t^6.75 + 3*t^6.81 + 2*t^6.87 + t^6.94 + 2*t^7. + 2*t^7.06 + 3*t^7.12 + t^7.19 + 3*t^7.25 + 3*t^7.31 + 3*t^7.37 + t^7.44 + 4*t^7.5 + 4*t^7.56 + 5*t^7.62 + t^7.7 + 2*t^7.75 + 3*t^7.81 + 4*t^7.87 + t^8.01 - t^8.06 - t^8.18 + 4*t^8.26 + 4*t^8.31 + 2*t^8.37 + t^8.43 + t^8.49 - t^8.57 - t^8.62 - t^8.68 + t^8.74 + 2*t^8.76 + 2*t^8.82 + 2*t^8.93 + 2*t^8.99 - t^4.31/y - t^6.38/y - t^6.43/y - t^6.69/y + t^7.19/y + t^7.44/y + t^7.5/y + t^7.63/y + (2*t^7.69)/y + t^7.75/y + (3*t^7.94)/y + (2*t^8.)/y + (3*t^8.19)/y + (3*t^8.25)/y + t^8.44/y + (2*t^8.5)/y - t^8.56/y + t^8.69/y + t^8.75/y - t^8.81/y + t^8.94/y - t^4.31*y - t^6.38*y - t^6.43*y - t^6.69*y + t^7.19*y + t^7.44*y + t^7.5*y + t^7.63*y + 2*t^7.69*y + t^7.75*y + 3*t^7.94*y + 2*t^8.*y + 3*t^8.19*y + 3*t^8.25*y + t^8.44*y + 2*t^8.5*y - t^8.56*y + t^8.69*y + t^8.75*y - t^8.81*y + t^8.94*y | g1^18*t^2.06 + t^2.12/g1^28 + t^2.37/g1^20 + g1^34*t^2.57 + t^2.62/g1^12 + t^2.87/g1^4 + g1^4*t^3.13 + g1^12*t^3.38 + 2*g1^36*t^4.13 + (2*t^4.19)/g1^10 + t^4.25/g1^56 + t^4.44/g1^2 + t^4.5/g1^48 + g1^52*t^4.63 + 2*g1^6*t^4.69 + (2*t^4.75)/g1^40 + g1^60*t^4.88 + 2*g1^14*t^4.94 + (2*t^5.)/g1^32 + g1^68*t^5.13 + 2*g1^22*t^5.19 + (3*t^5.25)/g1^24 + 2*g1^30*t^5.44 + (3*t^5.5)/g1^16 + g1^38*t^5.69 + (2*t^5.75)/g1^8 - t^6. - t^6.06/g1^46 + 2*g1^54*t^6.19 + 3*g1^8*t^6.25 + t^6.31/g1^38 + t^6.37/g1^84 + g1^16*t^6.5 + t^6.56/g1^30 + t^6.62/g1^76 + 2*g1^70*t^6.69 + 3*g1^24*t^6.75 + (3*t^6.81)/g1^22 + (2*t^6.87)/g1^68 + g1^78*t^6.94 + 2*g1^32*t^7. + (2*t^7.06)/g1^14 + (3*t^7.12)/g1^60 + g1^86*t^7.19 + 3*g1^40*t^7.25 + (3*t^7.31)/g1^6 + (3*t^7.37)/g1^52 + g1^94*t^7.44 + 4*g1^48*t^7.5 + 4*g1^2*t^7.56 + (5*t^7.62)/g1^44 + g1^102*t^7.7 + 2*g1^56*t^7.75 + 3*g1^10*t^7.81 + (4*t^7.87)/g1^36 + g1^64*t^8.01 - g1^18*t^8.06 - t^8.18/g1^74 + 4*g1^72*t^8.26 + 4*g1^26*t^8.31 + (2*t^8.37)/g1^20 + t^8.43/g1^66 + t^8.49/g1^112 - g1^34*t^8.57 - t^8.62/g1^12 - t^8.68/g1^58 + t^8.74/g1^104 + 2*g1^88*t^8.76 + 2*g1^42*t^8.82 + (2*t^8.93)/g1^50 + (2*t^8.99)/g1^96 - t^4.31/(g1^6*y) - (g1^12*t^6.38)/y - t^6.43/(g1^34*y) - t^6.69/(g1^26*y) + t^7.19/(g1^10*y) + t^7.44/(g1^2*y) + t^7.5/(g1^48*y) + (g1^52*t^7.63)/y + (2*g1^6*t^7.69)/y + t^7.75/(g1^40*y) + (3*g1^14*t^7.94)/y + (2*t^8.)/(g1^32*y) + (3*g1^22*t^8.19)/y + (3*t^8.25)/(g1^24*y) + (g1^30*t^8.44)/y + (2*t^8.5)/(g1^16*y) - t^8.56/(g1^62*y) + (g1^38*t^8.69)/y + t^8.75/(g1^8*y) - t^8.81/(g1^54*y) + (g1^46*t^8.94)/y - (t^4.31*y)/g1^6 - g1^12*t^6.38*y - (t^6.43*y)/g1^34 - (t^6.69*y)/g1^26 + (t^7.19*y)/g1^10 + (t^7.44*y)/g1^2 + (t^7.5*y)/g1^48 + g1^52*t^7.63*y + 2*g1^6*t^7.69*y + (t^7.75*y)/g1^40 + 3*g1^14*t^7.94*y + (2*t^8.*y)/g1^32 + 3*g1^22*t^8.19*y + (3*t^8.25*y)/g1^24 + g1^30*t^8.44*y + (2*t^8.5*y)/g1^16 - (t^8.56*y)/g1^62 + g1^38*t^8.69*y + (t^8.75*y)/g1^8 - (t^8.81*y)/g1^54 + g1^46*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 5422 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_4M_8$ | 0.6461 | 0.8283 | 0.78 | [X:[1.3813], M:[0.6187, 1.1271, 0.7882, 1.0424, 0.9576, 0.6906, 0.7034, 0.9576], q:[0.7818, 0.5995], qb:[0.6123, 0.2606], phi:[0.4365]] | t^2.07 + t^2.11 + t^2.36 + t^2.58 + t^2.62 + 2*t^2.87 + t^3.38 + 2*t^4.14 + 2*t^4.18 + t^4.22 + t^4.44 + t^4.47 + t^4.65 + 2*t^4.69 + 2*t^4.73 + t^4.91 + 3*t^4.94 + 3*t^4.98 + t^5.16 + t^5.2 + 3*t^5.24 + 3*t^5.45 + 3*t^5.49 + 3*t^5.75 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 5421 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ + $ M_5M_8$ | 0.6383 | 0.8155 | 0.7827 | [X:[1.3706], M:[0.6294, 1.1235, 0.7941, 1.0412, 0.9588, 0.6853, 0.7117, 1.0412], q:[0.7809, 0.5897], qb:[0.6162, 0.2603], phi:[0.4382]] | t^2.06 + t^2.14 + t^2.38 + t^2.55 + t^2.63 + 2*t^3.12 + t^3.37 + 2*t^4.11 + 2*t^4.19 + t^4.27 + t^4.44 + t^4.52 + t^4.61 + 2*t^4.69 + 2*t^4.76 + t^4.85 + t^4.93 + t^5.01 + t^5.1 + 3*t^5.18 + 3*t^5.26 + t^5.43 + 3*t^5.51 + 2*t^5.67 + 2*t^5.75 - 2*t^6. - t^4.31/y - t^4.31*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3363 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[0.6343, 1.1219, 0.7968, 1.0406, 0.9594, 0.6828], q:[0.7805, 0.5852], qb:[0.618, 0.2602], phi:[0.4391]] | t^2.05 + t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.85 + 2*t^4.1 + t^4.2 + t^4.44 + t^4.58 + t^4.68 + t^4.78 + t^4.83 + 2*t^4.93 + t^5.02 + t^5.07 + 2*t^5.17 + 2*t^5.27 + 2*t^5.41 + 2*t^5.51 + t^5.66 + 2*t^5.76 + t^5.9 - t^6. - t^4.32/y - t^4.32*y | detail |