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 |
|---|---|---|---|---|---|---|---|---|---|
| 1607 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6475 | 0.8091 | 0.8002 | [X:[], M:[1.1899, 1.2067, 0.7764, 0.8101, 0.8101, 0.7764, 0.827], q:[0.8017, 0.4219], qb:[0.3882, 0.8017], phi:[0.3966]] | [X:[], M:[[-6], [4], [-14], [6], [6], [-14], [16]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_4$, $ M_5$, $ M_7$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_4$, $ M_3M_5$, $ M_4M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_7$, $ M_6M_7$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_7$, $ M_5M_7$, $ M_7^2$, $ M_1M_3$, $ M_1M_6$, $ M_2M_3$, $ M_2M_6$, $ M_6\phi_1q_2\tilde{q}_1$ | $\phi_1\tilde{q}_2^2$ | -1 | 2*t^2.33 + 2*t^2.43 + t^2.48 + t^3.57 + 2*t^3.62 + t^3.72 + 3*t^4.66 + 4*t^4.76 + 3*t^4.81 + 3*t^4.86 + 2*t^4.91 + t^4.96 + t^5.9 + 2*t^5.95 - t^6. + 5*t^6.05 + t^6.1 + 2*t^6.15 + t^6.2 + 4*t^6.99 + 5*t^7.09 + 3*t^7.14 + 4*t^7.19 + 4*t^7.24 + 5*t^7.29 + 4*t^7.34 + 2*t^7.39 + 2*t^7.44 + t^8.23 + 2*t^8.28 - 5*t^8.33 + 4*t^8.38 - 3*t^8.43 + 3*t^8.48 + 3*t^8.53 + 4*t^8.58 + 2*t^8.63 + t^8.68 - t^4.19/y - (2*t^6.52)/y - t^6.62/y - t^6.67/y + t^7.66/y + t^7.71/y + (5*t^7.76)/y + (2*t^7.81)/y + (3*t^7.86)/y + (2*t^7.91)/y - (3*t^8.85)/y + (2*t^8.9)/y + (2*t^8.95)/y - t^4.19*y - 2*t^6.52*y - t^6.62*y - t^6.67*y + t^7.66*y + t^7.71*y + 5*t^7.76*y + 2*t^7.81*y + 3*t^7.86*y + 2*t^7.91*y - 3*t^8.85*y + 2*t^8.9*y + 2*t^8.95*y | (2*t^2.33)/g1^14 + 2*g1^6*t^2.43 + g1^16*t^2.48 + t^3.57/g1^6 + 2*g1^4*t^3.62 + g1^24*t^3.72 + (3*t^4.66)/g1^28 + (4*t^4.76)/g1^8 + 3*g1^2*t^4.81 + 3*g1^12*t^4.86 + 2*g1^22*t^4.91 + g1^32*t^4.96 + t^5.9/g1^20 + (2*t^5.95)/g1^10 - t^6. + 5*g1^10*t^6.05 + g1^20*t^6.1 + 2*g1^30*t^6.15 + g1^40*t^6.2 + (4*t^6.99)/g1^42 + (5*t^7.09)/g1^22 + (3*t^7.14)/g1^12 + (4*t^7.19)/g1^2 + 4*g1^8*t^7.24 + 5*g1^18*t^7.29 + 4*g1^28*t^7.34 + 2*g1^38*t^7.39 + 2*g1^48*t^7.44 + t^8.23/g1^34 + (2*t^8.28)/g1^24 - (5*t^8.33)/g1^14 + (4*t^8.38)/g1^4 - 3*g1^6*t^8.43 + 3*g1^16*t^8.48 + 3*g1^26*t^8.53 + 4*g1^36*t^8.58 + 2*g1^46*t^8.63 + g1^56*t^8.68 - t^4.19/(g1^2*y) - (2*t^6.52)/(g1^16*y) - (g1^4*t^6.62)/y - (g1^14*t^6.67)/y + t^7.66/(g1^28*y) + t^7.71/(g1^18*y) + (5*t^7.76)/(g1^8*y) + (2*g1^2*t^7.81)/y + (3*g1^12*t^7.86)/y + (2*g1^22*t^7.91)/y - (3*t^8.85)/(g1^30*y) + (2*t^8.9)/(g1^20*y) + (2*t^8.95)/(g1^10*y) - (t^4.19*y)/g1^2 - (2*t^6.52*y)/g1^16 - g1^4*t^6.62*y - g1^14*t^6.67*y + (t^7.66*y)/g1^28 + (t^7.71*y)/g1^18 + (5*t^7.76*y)/g1^8 + 2*g1^2*t^7.81*y + 3*g1^12*t^7.86*y + 2*g1^22*t^7.91*y - (3*t^8.85*y)/g1^30 + (2*t^8.9*y)/g1^20 + (2*t^8.95*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3991 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.6667 | 0.8446 | 0.7894 | [X:[], M:[1.1828, 1.2114, 0.76, 0.8172, 0.8172, 0.76, 0.8458, 0.7313], q:[0.8029, 0.4372], qb:[0.38, 0.8029], phi:[0.3943]] | t^2.19 + 2*t^2.28 + 2*t^2.45 + t^2.54 + t^3.55 + 2*t^3.63 + t^4.39 + 2*t^4.47 + 3*t^4.56 + 2*t^4.65 + 5*t^4.73 + 3*t^4.82 + 3*t^4.9 + 2*t^4.99 + t^5.07 + t^5.74 + 3*t^5.83 + 2*t^5.91 - t^6. - t^4.18/y - t^4.18*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1029 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ | 0.6337 | 0.7854 | 0.8068 | [X:[], M:[1.1789, 1.214, 0.7509, 0.8211, 0.8211, 0.7509], q:[0.8035, 0.4456], qb:[0.3754, 0.8035], phi:[0.393]] | 2*t^2.25 + 2*t^2.46 + t^3.43 + t^3.54 + 2*t^3.64 + t^3.85 + 3*t^4.51 + 4*t^4.72 + t^4.82 + 3*t^4.93 + 2*t^5.68 + t^5.79 + 4*t^5.89 - t^6. - t^4.18/y - t^4.18*y | detail | {a: 68629/108300, c: 21266/27075, M1: 112/95, M2: 346/285, M3: 214/285, M4: 78/95, M5: 78/95, M6: 214/285, q1: 229/285, q2: 127/285, qb1: 107/285, qb2: 229/285, phi1: 112/285} |