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 |
|---|---|---|---|---|---|---|---|---|---|
| 50955 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ | 0.6876 | 0.8992 | 0.7647 | [X:[], M:[1.1147, 0.75, 0.7706, 0.8853, 0.7294, 0.8647], q:[0.75, 0.3853], qb:[0.3647, 0.5], phi:[0.5]] | [X:[], M:[[1], [0], [-2], [-1], [2], [1]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_2M_5$, $ M_5q_2\tilde{q}_1$, $ M_2^2$, $ M_3M_5$, $ M_2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3q_2\tilde{q}_1$, $ M_3^2$, $ M_5M_6$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ M_2M_6$, $ M_6q_2\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2M_4$, $ M_3M_6$, $ M_4q_2\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_3M_4$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_6$, $ M_2\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6\phi_1^2$, $ M_2q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | $M_4q_1\tilde{q}_1$ | 0 | t^2.19 + 2*t^2.25 + t^2.31 + 2*t^2.59 + t^2.66 + t^3. + t^3.34 + t^3.75 + t^4.09 + t^4.16 + t^4.38 + 2*t^4.44 + 5*t^4.5 + 2*t^4.56 + t^4.62 + 2*t^4.78 + 5*t^4.84 + 4*t^4.91 + t^4.97 + 4*t^5.19 + 4*t^5.25 + 2*t^5.31 + t^5.53 + 3*t^5.59 + t^5.66 + 2*t^5.94 + t^6.28 + 3*t^6.34 + t^6.41 + t^6.47 + t^6.56 + 2*t^6.63 + 7*t^6.69 + 8*t^6.75 + 5*t^6.81 + 2*t^6.87 + t^6.94 + 2*t^6.97 + 5*t^7.03 + 10*t^7.09 + 6*t^7.16 + 4*t^7.22 + t^7.28 + 4*t^7.38 + 9*t^7.44 + 9*t^7.5 + 4*t^7.56 + 2*t^7.62 + t^7.72 + 7*t^7.78 + 7*t^7.84 + 2*t^7.91 + 2*t^7.97 + 2*t^8.13 + 3*t^8.19 - t^8.25 - 2*t^8.31 + t^8.47 + 4*t^8.53 - t^8.59 - 2*t^8.66 + t^8.75 + t^8.78 + 2*t^8.81 + 7*t^8.88 + 9*t^8.94 - t^4.5/y - t^6.69/y - t^6.75/y - t^6.81/y - t^7.09/y + (2*t^7.44)/y + (2*t^7.5)/y + (2*t^7.56)/y + (2*t^7.78)/y + (5*t^7.84)/y + (5*t^7.91)/y + t^7.97/y + (3*t^8.19)/y + (5*t^8.25)/y + (2*t^8.31)/y + t^8.53/y + (4*t^8.59)/y + (2*t^8.66)/y - t^8.88/y + (2*t^8.94)/y - t^4.5*y - t^6.69*y - t^6.75*y - t^6.81*y - t^7.09*y + 2*t^7.44*y + 2*t^7.5*y + 2*t^7.56*y + 2*t^7.78*y + 5*t^7.84*y + 5*t^7.91*y + t^7.97*y + 3*t^8.19*y + 5*t^8.25*y + 2*t^8.31*y + t^8.53*y + 4*t^8.59*y + 2*t^8.66*y - t^8.88*y + 2*t^8.94*y | g1^2*t^2.19 + 2*t^2.25 + t^2.31/g1^2 + 2*g1*t^2.59 + t^2.66/g1 + t^3. + g1*t^3.34 + t^3.75 + g1*t^4.09 + t^4.16/g1 + g1^4*t^4.38 + 2*g1^2*t^4.44 + 5*t^4.5 + (2*t^4.56)/g1^2 + t^4.62/g1^4 + 2*g1^3*t^4.78 + 5*g1*t^4.84 + (4*t^4.91)/g1 + t^4.97/g1^3 + 4*g1^2*t^5.19 + 4*t^5.25 + (2*t^5.31)/g1^2 + g1^3*t^5.53 + 3*g1*t^5.59 + t^5.66/g1 + 2*g1^2*t^5.94 + g1^3*t^6.28 + 3*g1*t^6.34 + t^6.41/g1 + t^6.47/g1^3 + g1^6*t^6.56 + 2*g1^4*t^6.63 + 7*g1^2*t^6.69 + 8*t^6.75 + (5*t^6.81)/g1^2 + (2*t^6.87)/g1^4 + t^6.94/g1^6 + 2*g1^5*t^6.97 + 5*g1^3*t^7.03 + 10*g1*t^7.09 + (6*t^7.16)/g1 + (4*t^7.22)/g1^3 + t^7.28/g1^5 + 4*g1^4*t^7.38 + 9*g1^2*t^7.44 + 9*t^7.5 + (4*t^7.56)/g1^2 + (2*t^7.62)/g1^4 + g1^5*t^7.72 + 7*g1^3*t^7.78 + 7*g1*t^7.84 + (2*t^7.91)/g1 + (2*t^7.97)/g1^3 + 2*g1^4*t^8.13 + 3*g1^2*t^8.19 - t^8.25 - (2*t^8.31)/g1^2 + g1^5*t^8.47 + 4*g1^3*t^8.53 - g1*t^8.59 - (2*t^8.66)/g1 + g1^8*t^8.75 + t^8.78/g1^5 + 2*g1^6*t^8.81 + 7*g1^4*t^8.88 + 9*g1^2*t^8.94 - t^4.5/y - (g1^2*t^6.69)/y - t^6.75/y - t^6.81/(g1^2*y) - (g1*t^7.09)/y + (2*g1^2*t^7.44)/y + (2*t^7.5)/y + (2*t^7.56)/(g1^2*y) + (2*g1^3*t^7.78)/y + (5*g1*t^7.84)/y + (5*t^7.91)/(g1*y) + t^7.97/(g1^3*y) + (3*g1^2*t^8.19)/y + (5*t^8.25)/y + (2*t^8.31)/(g1^2*y) + (g1^3*t^8.53)/y + (4*g1*t^8.59)/y + (2*t^8.66)/(g1*y) - (g1^4*t^8.88)/y + (2*g1^2*t^8.94)/y - t^4.5*y - g1^2*t^6.69*y - t^6.75*y - (t^6.81*y)/g1^2 - g1*t^7.09*y + 2*g1^2*t^7.44*y + 2*t^7.5*y + (2*t^7.56*y)/g1^2 + 2*g1^3*t^7.78*y + 5*g1*t^7.84*y + (5*t^7.91*y)/g1 + (t^7.97*y)/g1^3 + 3*g1^2*t^8.19*y + 5*t^8.25*y + (2*t^8.31*y)/g1^2 + g1^3*t^8.53*y + 4*g1*t^8.59*y + (2*t^8.66*y)/g1 - g1^4*t^8.88*y + 2*g1^2*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 |
|---|---|---|---|---|---|---|---|---|
| 56149 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.7067 | 0.9339 | 0.7567 | [X:[], M:[1.1147, 0.75, 0.7706, 0.8853, 0.7294, 0.8647, 0.75], q:[0.75, 0.3853], qb:[0.3647, 0.5], phi:[0.5]] | t^2.19 + 3*t^2.25 + t^2.31 + 2*t^2.59 + t^2.66 + t^3. + t^3.34 + t^4.09 + t^4.16 + t^4.38 + 3*t^4.44 + 8*t^4.5 + 3*t^4.56 + t^4.62 + 2*t^4.78 + 7*t^4.84 + 5*t^4.91 + t^4.97 + 4*t^5.19 + 5*t^5.25 + 2*t^5.31 + t^5.53 + 4*t^5.59 + t^5.66 + t^5.94 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46840 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ | 0.676 | 0.8792 | 0.769 | [X:[], M:[1.125, 0.75, 0.75, 0.875, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 4*t^2.25 + 2*t^2.62 + t^3. + 2*t^3.38 + t^3.75 + 2*t^4.12 + 11*t^4.5 + 8*t^4.88 + 7*t^5.25 + 8*t^5.62 + 3*t^6. - t^4.5/y - t^4.5*y | detail | {a: 2769/4096, c: 3601/4096, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |