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 |
|---|---|---|---|---|---|---|---|---|---|
| 8882 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ + $ M_4^2$ + $ M_5\phi_1q_1q_2$ | 1.1868 | 1.3364 | 0.8881 | [X:[1.643], M:[1.071, 0.7849, 0.714, 1.0, 0.8925], q:[0.5183, 0.4108], qb:[], phi:[0.1785]] | [X:[[4]], M:[[-12], [-20], [-8], [0], [-10]], q:[[11], [1]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^4$, $ M_2$, $ M_5$, $ M_4$, $ M_1$, $ \phi_1^3q_2^2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_1q_2$, $ M_2M_3$, $ M_2\phi_1^4$, $ M_2^2$, $ \phi_1^3q_1^2$, $ M_3M_5$, $ M_5\phi_1^4$, $ X_1$, $ M_2M_5$, $ M_3M_4$, $ M_4\phi_1^4$, $ M_1M_3$, $ M_2M_4$, $ M_5^2$, $ M_1\phi_1^4$, $ M_1M_2$, $ M_1M_5$ | . | -1 | 2*t^2.14 + t^2.35 + t^2.68 + t^3. + t^3.21 + t^4.07 + 3*t^4.28 + t^4.39 + 2*t^4.5 + t^4.71 + t^4.72 + 2*t^4.82 + t^4.93 + t^5.03 + 2*t^5.14 + 4*t^5.35 + t^5.57 + t^5.89 - t^6. + 2*t^6.21 - t^6.32 + 6*t^6.43 + t^6.54 + 3*t^6.64 + t^6.75 + 2*t^6.85 + t^6.86 + 3*t^6.96 + t^7.06 + 4*t^7.07 + 2*t^7.17 + 4*t^7.28 + 2*t^7.39 + 7*t^7.5 + t^7.61 + 4*t^7.71 + t^7.92 + 3*t^8.03 + t^8.14 + 2*t^8.35 - t^8.46 + 9*t^8.57 - 5*t^8.68 + 6*t^8.78 - t^8.89 + 3*t^8.99 + t^8.14/y^2 - (2*t^8.68)/y^2 - t^8.89/y^2 - t^3.54/y - t^4.61/y - (2*t^5.68)/y - t^5.89/y - t^6.21/y - t^6.54/y - (3*t^6.75)/y - t^6.96/y + t^7.39/y + (2*t^7.5)/y - t^7.61/y - (2*t^7.82)/y - t^8.03/y + (2*t^8.14)/y - t^8.25/y + t^8.35/y + t^8.46/y - t^8.68/y - (6*t^8.89)/y - t^3.54*y - t^4.61*y - 2*t^5.68*y - t^5.89*y - t^6.21*y - t^6.54*y - 3*t^6.75*y - t^6.96*y + t^7.39*y + 2*t^7.5*y - t^7.61*y - 2*t^7.82*y - t^8.03*y + 2*t^8.14*y - t^8.25*y + t^8.35*y + t^8.46*y - t^8.68*y - 6*t^8.89*y + t^8.14*y^2 - 2*t^8.68*y^2 - t^8.89*y^2 | (2*t^2.14)/g1^8 + t^2.35/g1^20 + t^2.68/g1^10 + t^3. + t^3.21/g1^12 + t^4.07/g1^4 + (3*t^4.28)/g1^16 + g1^6*t^4.39 + (2*t^4.5)/g1^28 + t^4.71/g1^40 + g1^16*t^4.72 + (2*t^4.82)/g1^18 + g1^4*t^4.93 + t^5.03/g1^30 + (2*t^5.14)/g1^8 + (4*t^5.35)/g1^20 + t^5.57/g1^32 + t^5.89/g1^22 - t^6. + (2*t^6.21)/g1^12 - g1^10*t^6.32 + (6*t^6.43)/g1^24 + t^6.54/g1^2 + (3*t^6.64)/g1^36 + t^6.75/g1^14 + (2*t^6.85)/g1^48 + g1^8*t^6.86 + (3*t^6.96)/g1^26 + t^7.06/g1^60 + (4*t^7.07)/g1^4 + (2*t^7.17)/g1^38 + (4*t^7.28)/g1^16 + t^7.39/g1^50 + g1^6*t^7.39 + (7*t^7.5)/g1^28 + t^7.61/g1^6 + (4*t^7.71)/g1^40 + t^7.92/g1^52 + (3*t^8.03)/g1^30 + t^8.14/g1^8 + t^8.25/g1^42 - g1^14*t^8.25 + (2*t^8.35)/g1^20 - g1^2*t^8.46 + (10*t^8.57)/g1^32 - g1^24*t^8.57 - (5*t^8.68)/g1^10 + (6*t^8.78)/g1^44 - t^8.89/g1^22 + (3*t^8.99)/g1^56 + t^8.14/(g1^8*y^2) - (2*t^8.68)/(g1^10*y^2) - t^8.89/(g1^22*y^2) - t^3.54/(g1^2*y) - t^4.61/(g1^6*y) - (2*t^5.68)/(g1^10*y) - t^5.89/(g1^22*y) - t^6.21/(g1^12*y) - t^6.54/(g1^2*y) - (3*t^6.75)/(g1^14*y) - t^6.96/(g1^26*y) + (g1^6*t^7.39)/y + (2*t^7.5)/(g1^28*y) - t^7.61/(g1^6*y) - (2*t^7.82)/(g1^18*y) - t^8.03/(g1^30*y) + (2*t^8.14)/(g1^8*y) - t^8.25/(g1^42*y) + t^8.35/(g1^20*y) + (g1^2*t^8.46)/y - t^8.68/(g1^10*y) - (6*t^8.89)/(g1^22*y) - (t^3.54*y)/g1^2 - (t^4.61*y)/g1^6 - (2*t^5.68*y)/g1^10 - (t^5.89*y)/g1^22 - (t^6.21*y)/g1^12 - (t^6.54*y)/g1^2 - (3*t^6.75*y)/g1^14 - (t^6.96*y)/g1^26 + g1^6*t^7.39*y + (2*t^7.5*y)/g1^28 - (t^7.61*y)/g1^6 - (2*t^7.82*y)/g1^18 - (t^8.03*y)/g1^30 + (2*t^8.14*y)/g1^8 - (t^8.25*y)/g1^42 + (t^8.35*y)/g1^20 + g1^2*t^8.46*y - (t^8.68*y)/g1^10 - (6*t^8.89*y)/g1^22 + (t^8.14*y^2)/g1^8 - (2*t^8.68*y^2)/g1^10 - (t^8.89*y^2)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8945 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ + $ M_4^2$ + $ M_5\phi_1q_1q_2$ + $ M_2M_3$ | 1.0983 | 1.2278 | 0.8946 | [X:[1.5714], M:[1.2857, 1.1429, 0.8571, 1.0, 1.0714], q:[0.3214, 0.3929], qb:[], phi:[0.2143]] | 2*t^2.57 + t^3. + t^3.21 + t^3.43 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + 3*t^5.14 + 2*t^5.57 + t^5.79 + t^6. - t^3.64/y - t^4.93/y - t^3.64*y - t^4.93*y | detail | {a: 96441/87808, c: 107809/87808, X1: 11/7, M1: 9/7, M2: 8/7, M3: 6/7, M4: 1, M5: 15/14, q1: 9/28, q2: 11/28, phi1: 3/14} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8771 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ + $ M_4^2$ | 1.1777 | 1.3199 | 0.8923 | [X:[1.6373], M:[1.0881, 0.8135, 0.7254, 1.0], q:[0.5026, 0.4093], qb:[], phi:[0.1813]] | 2*t^2.18 + t^2.44 + t^3. + t^3.26 + t^3.28 + t^4.09 + 3*t^4.35 + t^4.37 + 2*t^4.62 + t^4.65 + t^4.88 + t^4.91 + 2*t^5.18 + 3*t^5.44 + 2*t^5.46 + t^5.7 - t^6. - t^3.54/y - t^4.63/y - (2*t^5.72)/y - t^5.98/y - t^3.54*y - t^4.63*y - 2*t^5.72*y - t^5.98*y | detail |