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 |
|---|---|---|---|---|---|---|---|---|---|
| 8446 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ \phi_1^3q_1^2$ + $ \phi_1^4X_2$ | 0.9703 | 1.0481 | 0.9258 | [X:[1.7234, 1.4468], M:[0.8298, 0.6915], q:[0.7926, 0.3777], qb:[], phi:[0.1383]] | [X:[[4], [8]], M:[[-12], [-10]], q:[[3], [9]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_2^2$, $ \phi_1^2q_1q_2$, $ X_2$, $ M_1M_2$, $ \phi_1^3q_1q_2$, $ M_2\phi_1q_2^2$, $ M_1^2$, $ \phi_1q_1^2$, $ X_1$, $ \phi_1^2q_2^4$ | . | -1 | t^2.07 + t^2.49 + t^2.68 + t^3.51 + t^4.15 + 2*t^4.34 + t^4.56 + t^4.76 + t^4.98 + 2*t^5.17 + t^5.36 - t^6. + t^6.19 + t^6.22 + t^6.41 + t^6.64 + 2*t^6.83 + 3*t^7.02 + t^7.05 + t^7.24 + t^7.44 + t^7.47 + 2*t^7.66 + 3*t^7.85 + t^8.04 - t^8.07 + t^8.3 - 2*t^8.49 + t^8.68 + t^8.71 + t^8.87 + t^8.9 + t^7.66/y^2 - t^8.49/y^2 - t^8.9/y^2 - t^3.41/y - t^4.24/y - t^5.49/y - t^5.9/y - t^6.1/y - t^6.32/y - t^6.73/y - t^6.93/y - t^7.98/y + t^8.17/y - (2*t^8.39)/y - t^8.59/y - t^8.78/y - t^8.81/y - t^3.41*y - t^4.24*y - t^5.49*y - t^5.9*y - t^6.1*y - t^6.32*y - t^6.73*y - t^6.93*y - t^7.98*y + t^8.17*y - 2*t^8.39*y - t^8.59*y - t^8.78*y - t^8.81*y + t^7.66*y^2 - t^8.49*y^2 - t^8.9*y^2 | t^2.07/g1^10 + t^2.49/g1^12 + g1^16*t^2.68 + g1^12*t^3.51 + t^4.15/g1^20 + 2*g1^8*t^4.34 + t^4.56/g1^22 + g1^6*t^4.76 + t^4.98/g1^24 + 2*g1^4*t^5.17 + g1^32*t^5.36 - t^6. + g1^28*t^6.19 + t^6.22/g1^30 + t^6.41/g1^2 + t^6.64/g1^32 + (2*t^6.83)/g1^4 + 3*g1^24*t^7.02 + t^7.05/g1^34 + t^7.24/g1^6 + g1^22*t^7.44 + t^7.47/g1^36 + (2*t^7.66)/g1^8 + 3*g1^20*t^7.85 + g1^48*t^8.04 - t^8.07/g1^10 + t^8.3/g1^40 - (2*t^8.49)/g1^12 + g1^16*t^8.68 + t^8.71/g1^42 + g1^44*t^8.87 + t^8.9/g1^14 + t^7.66/(g1^8*y^2) - t^8.49/(g1^12*y^2) - t^8.9/(g1^14*y^2) - t^3.41/(g1^2*y) - t^4.24/(g1^6*y) - t^5.49/(g1^12*y) - t^5.9/(g1^14*y) - (g1^14*t^6.1)/y - t^6.32/(g1^16*y) - t^6.73/(g1^18*y) - (g1^10*t^6.93)/y - t^7.98/(g1^24*y) + (g1^4*t^8.17)/y - (2*t^8.39)/(g1^26*y) - (g1^2*t^8.59)/y - (g1^30*t^8.78)/y - t^8.81/(g1^28*y) - (t^3.41*y)/g1^2 - (t^4.24*y)/g1^6 - (t^5.49*y)/g1^12 - (t^5.9*y)/g1^14 - g1^14*t^6.1*y - (t^6.32*y)/g1^16 - (t^6.73*y)/g1^18 - g1^10*t^6.93*y - (t^7.98*y)/g1^24 + g1^4*t^8.17*y - (2*t^8.39*y)/g1^26 - g1^2*t^8.59*y - g1^30*t^8.78*y - (t^8.81*y)/g1^28 + (t^7.66*y^2)/g1^8 - (t^8.49*y^2)/g1^12 - (t^8.9*y^2)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8628 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ \phi_1^3q_1^2$ + $ \phi_1^4X_2$ + $ M_2^2$ + $ \phi_1q_2^2X_3$ | 0.7605 | 0.8355 | 0.9102 | [X:[1.6, 1.2, 1.6], M:[1.2, 1.0], q:[0.7, 0.1], qb:[], phi:[0.2]] | t^2.4 + t^3. + 3*t^3.6 + 3*t^4.8 + t^6. - t^3.6/y - t^4.8/y - t^3.6*y - t^4.8*y | detail | {a: 1521/2000, c: 1671/2000, X1: 8/5, X2: 6/5, X3: 8/5, M1: 6/5, M2: 1, q1: 7/10, q2: 1/10, phi1: 1/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8220 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ | 1.1602 | 1.2773 | 0.9083 | [X:[1.6501], M:[1.0497, 0.8747], q:[0.4752, 0.4752], qb:[], phi:[0.1749]] | t^2.1 + t^2.62 + t^3.15 + 2*t^3.38 + t^3.9 + t^4.2 + 3*t^4.43 + t^4.72 + t^4.95 + 2*t^5.25 + 2*t^5.48 + t^5.77 - t^6. - t^3.52/y - t^4.57/y - t^5.62/y - t^3.52*y - t^4.57*y - t^5.62*y | detail |