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 |
|---|---|---|---|---|---|---|---|---|---|
| 8370 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_1q_2$ | 1.1866 | 1.3285 | 0.8932 | [X:[1.6371], M:[0.7257, 0.9072], q:[0.4536, 0.4578], qb:[], phi:[0.1814]] | [X:[[4]], M:[[-8], [-10]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^4$, $ M_2$, $ q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_1M_2$, $ M_2\phi_1^4$, $ M_1q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_2^2$, $ M_1\phi_1q_1^2$, $ \phi_1^5q_1^2$, $ M_2q_1q_2$, $ M_1\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ q_1^2q_2^2$ | . | -1 | 2*t^2.18 + t^2.72 + t^2.73 + t^3.27 + t^3.29 + 4*t^4.35 + t^4.37 + t^4.38 + 2*t^4.9 + 3*t^4.91 + 3*t^5.44 + t^5.46 + 3*t^5.47 - t^6. + t^6.03 + 6*t^6.53 + t^6.54 + 2*t^6.56 + t^6.58 + 3*t^7.08 + 6*t^7.09 + t^7.1 + t^7.11 + 5*t^7.62 + 3*t^7.63 + 6*t^7.65 + t^7.66 + t^7.67 + t^8.16 + 3*t^8.2 + 9*t^8.71 - 3*t^8.72 + 2*t^8.73 + t^8.75 + 4*t^8.76 + t^8.18/y^2 - (2*t^8.72)/y^2 - t^3.54/y - t^4.63/y - (2*t^5.72)/y - t^6.27/y - t^6.28/y - (3*t^6.81)/y - t^6.84/y - (2*t^7.9)/y + (2*t^7.91)/y - t^7.92/y + (2*t^8.47)/y - (5*t^8.99)/y - t^3.54*y - t^4.63*y - 2*t^5.72*y - t^6.27*y - t^6.28*y - 3*t^6.81*y - t^6.84*y - 2*t^7.9*y + 2*t^7.91*y - t^7.92*y + 2*t^8.47*y - 5*t^8.99*y + t^8.18*y^2 - 2*t^8.72*y^2 | (2*t^2.18)/g1^8 + t^2.72/g1^10 + g1^12*t^2.73 + t^3.27/g1^12 + g1^32*t^3.29 + (4*t^4.35)/g1^16 + g1^6*t^4.37 + g1^28*t^4.38 + (2*t^4.9)/g1^18 + 3*g1^4*t^4.91 + (3*t^5.44)/g1^20 + g1^2*t^5.46 + 3*g1^24*t^5.47 - t^6. + g1^44*t^6.03 + (6*t^6.53)/g1^24 + t^6.54/g1^2 + 2*g1^20*t^6.56 + g1^64*t^6.58 + (3*t^7.08)/g1^26 + (6*t^7.09)/g1^4 + g1^18*t^7.1 + g1^40*t^7.11 + (5*t^7.62)/g1^28 + (3*t^7.63)/g1^6 + 6*g1^16*t^7.65 + g1^38*t^7.66 + g1^60*t^7.67 + t^8.16/g1^30 + 3*g1^36*t^8.2 + (9*t^8.71)/g1^32 - (3*t^8.72)/g1^10 + 2*g1^12*t^8.73 + g1^34*t^8.75 + 4*g1^56*t^8.76 + t^8.18/(g1^8*y^2) - (2*t^8.72)/(g1^10*y^2) - t^3.54/(g1^2*y) - t^4.63/(g1^6*y) - (2*t^5.72)/(g1^10*y) - t^6.27/(g1^12*y) - (g1^10*t^6.28)/y - (3*t^6.81)/(g1^14*y) - (g1^30*t^6.84)/y - (2*t^7.9)/(g1^18*y) + (2*g1^4*t^7.91)/y - (g1^26*t^7.92)/y + (2*g1^24*t^8.47)/y - (5*t^8.99)/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.63*y)/g1^6 - (2*t^5.72*y)/g1^10 - (t^6.27*y)/g1^12 - g1^10*t^6.28*y - (3*t^6.81*y)/g1^14 - g1^30*t^6.84*y - (2*t^7.9*y)/g1^18 + 2*g1^4*t^7.91*y - g1^26*t^7.92*y + 2*g1^24*t^8.47*y - (5*t^8.99*y)/g1^22 + (t^8.18*y^2)/g1^8 - (2*t^8.72*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 |
|---|---|---|---|---|---|---|---|---|
| 8516 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ \phi_1q_2^2X_2$ + $ q_1q_2X_3$ | 0.8634 | 0.9676 | 0.8923 | [X:[1.5556, 1.5556, 1.3333], M:[0.8889, 1.1111], q:[0.5556, 0.1111], qb:[], phi:[0.2222]] | 3*t^2.67 + t^3.33 + 3*t^4. + t^4.67 + 6*t^5.33 - t^6. - t^3.67/y - t^5./y - t^3.67*y - t^5.*y | detail | {a: 373/432, c: 209/216, X1: 14/9, X2: 14/9, X3: 4/3, M1: 8/9, M2: 10/9, q1: 5/9, q2: 1/9, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8201 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1^2q_1q_2$ | 1.1784 | 1.3155 | 0.8958 | [X:[1.6343], M:[0.7314], q:[0.4571, 0.4458], qb:[], phi:[0.1828]] | 2*t^2.19 + t^2.71 + t^3.22 + t^3.26 + t^3.29 + t^4.32 + t^4.35 + 4*t^4.39 + 3*t^4.9 + 3*t^5.42 + 2*t^5.45 + 2*t^5.49 + t^5.93 - t^6. - t^3.55/y - t^4.65/y - (2*t^5.74)/y - t^3.55*y - t^4.65*y - 2*t^5.74*y | detail |