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 |
|---|---|---|---|---|---|---|---|---|---|
| 8199 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1^2$ | 1.1682 | 1.2974 | 0.9004 | [X:[1.6302], M:[0.8905], q:[0.4623, 0.4283], qb:[], phi:[0.1849]] | [X:[[4]], M:[[12]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ M_1\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ M_1q_1q_2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$, $ \phi_1^5q_1q_2$, $ M_1\phi_1q_2^2$, $ \phi_1q_1q_2^3$, $ M_1\phi_1q_1q_2$ | $\phi_1^6q_1q_2$ | -1 | t^2.22 + 2*t^2.67 + t^3.12 + t^3.23 + t^3.78 + t^4.23 + t^4.34 + 2*t^4.44 + 3*t^4.89 + 4*t^5.34 + t^5.45 + 2*t^5.8 + t^5.9 - t^6. - t^6.1 + t^6.25 + t^6.35 + 3*t^6.45 + t^6.66 + 3*t^6.91 + 2*t^7.01 + 4*t^7.11 - t^7.21 + t^7.36 + 2*t^7.46 + 7*t^7.56 + t^7.66 - t^7.77 + 7*t^8.01 + 2*t^8.12 - t^8.32 + 5*t^8.47 + 3*t^8.57 - 2*t^8.77 + 2*t^8.88 + 2*t^8.92 + t^8.22/y^2 - t^8.77/y^2 - t^3.55/y - t^4.66/y - t^5.77/y - (2*t^6.23)/y - t^6.68/y - t^6.78/y - t^6.88/y - (2*t^7.34)/y - t^7.79/y + t^7.89/y - t^7.99/y + (2*t^8.34)/y - t^8.45/y + (2*t^8.8)/y - (2*t^8.9)/y - t^3.55*y - t^4.66*y - t^5.77*y - 2*t^6.23*y - t^6.68*y - t^6.78*y - t^6.88*y - 2*t^7.34*y - t^7.79*y + t^7.89*y - t^7.99*y + 2*t^8.34*y - t^8.45*y + 2*t^8.8*y - 2*t^8.9*y + t^8.22*y^2 - t^8.77*y^2 | t^2.22/g1^8 + 2*g1^12*t^2.67 + g1^32*t^3.12 + g1^10*t^3.23 + g1^8*t^3.78 + g1^28*t^4.23 + g1^6*t^4.34 + (2*t^4.44)/g1^16 + 3*g1^4*t^4.89 + 4*g1^24*t^5.34 + g1^2*t^5.45 + 2*g1^44*t^5.8 + g1^22*t^5.9 - t^6. - t^6.1/g1^22 + g1^64*t^6.25 + g1^42*t^6.35 + 3*g1^20*t^6.45 + t^6.66/g1^24 + 3*g1^40*t^6.91 + 2*g1^18*t^7.01 + (4*t^7.11)/g1^4 - t^7.21/g1^26 + g1^60*t^7.36 + 2*g1^38*t^7.46 + 7*g1^16*t^7.56 + t^7.66/g1^6 - t^7.77/g1^28 + 7*g1^36*t^8.01 + 2*g1^14*t^8.12 - t^8.32/g1^30 + 5*g1^56*t^8.47 + 3*g1^34*t^8.57 - (2*t^8.77)/g1^10 + (2*t^8.88)/g1^32 + 2*g1^76*t^8.92 + t^8.22/(g1^8*y^2) - t^8.77/(g1^10*y^2) - t^3.55/(g1^2*y) - t^4.66/(g1^6*y) - t^5.77/(g1^10*y) - (2*g1^10*t^6.23)/y - (g1^30*t^6.68)/y - (g1^8*t^6.78)/y - t^6.88/(g1^14*y) - (2*g1^6*t^7.34)/y - (g1^26*t^7.79)/y + (g1^4*t^7.89)/y - t^7.99/(g1^18*y) + (2*g1^24*t^8.34)/y - (g1^2*t^8.45)/y + (2*g1^44*t^8.8)/y - (2*g1^22*t^8.9)/y - (t^3.55*y)/g1^2 - (t^4.66*y)/g1^6 - (t^5.77*y)/g1^10 - 2*g1^10*t^6.23*y - g1^30*t^6.68*y - g1^8*t^6.78*y - (t^6.88*y)/g1^14 - 2*g1^6*t^7.34*y - g1^26*t^7.79*y + g1^4*t^7.89*y - (t^7.99*y)/g1^18 + 2*g1^24*t^8.34*y - g1^2*t^8.45*y + 2*g1^44*t^8.8*y - 2*g1^22*t^8.9*y + (t^8.22*y^2)/g1^8 - (t^8.77*y^2)/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 |
|---|---|---|---|---|---|---|---|---|
| 8371 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 1.1753 | 1.3055 | 0.9003 | [X:[1.6388], M:[0.9165, 0.8892], q:[0.4514, 0.4651], qb:[], phi:[0.1806]] | t^2.17 + t^2.67 + 2*t^2.75 + t^3.29 + t^3.83 + 2*t^4.33 + t^4.37 + t^4.42 + t^4.83 + 3*t^4.92 + t^5.34 + 2*t^5.42 + t^5.46 + 3*t^5.5 - t^6. - t^3.54/y - t^4.63/y - t^5.71/y - t^3.54*y - t^4.63*y - t^5.71*y | detail | |
| 8362 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1^4$ | 1.1488 | 1.2625 | 0.9099 | [X:[1.6292], M:[0.8877, 1.2585], q:[0.4634, 0.4243], qb:[], phi:[0.1854]] | 2*t^2.66 + t^3.1 + t^3.22 + 2*t^3.78 + t^4.21 + t^4.33 + t^4.45 + t^4.89 + 3*t^5.33 + 2*t^5.77 + t^5.88 - 2*t^6. - t^3.56/y - t^4.67/y - t^3.56*y - t^4.67*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8184 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ | 1.1587 | 1.2795 | 0.9056 | [X:[1.6334], M:[], q:[0.4582, 0.4421], qb:[], phi:[0.1833]] | t^2.2 + t^2.7 + t^3.2 + t^3.25 + t^3.3 + t^3.8 + t^4.3 + t^4.35 + 2*t^4.4 + 2*t^4.9 + 2*t^5.4 + t^5.45 + t^5.5 + t^5.9 - t^3.55/y - t^4.65/y - t^5.75/y - t^3.55*y - t^4.65*y - t^5.75*y | detail |