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 |
|---|---|---|---|---|---|---|---|---|---|
| 9028 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1^2q_1q_2$ + $ M_6\phi_1^3q_1^2$ | 1.19 | 1.3538 | 0.879 | [X:[1.6204], M:[1.1387, 1.0511, 0.9489, 0.8468, 0.7591, 0.6715], q:[0.3796, 0.4817], qb:[], phi:[0.1898]] | [X:[[2]], M:[[-6], [5], [-5], [-15], [-4], [7]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ \phi_1^4$, $ M_4$, $ M_3$, $ M_2$, $ M_1$, $ M_6^2$, $ M_5M_6$, $ M_6\phi_1^4$, $ \phi_1^3q_1q_2$, $ M_5^2$, $ M_4M_6$, $ M_5\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ M_4M_5$, $ M_4\phi_1^4$, $ M_3M_6$, $ X_1$, $ M_4^2$, $ M_3M_5$, $ M_3\phi_1^4$, $ M_2M_6$, $ M_3M_4$, $ M_2M_5$, $ M_1M_6$, $ M_2\phi_1^4$, $ M_3^2$, $ M_2M_4$, $ M_1M_5$, $ M_1\phi_1^4$, $ M_1M_4$ | . | -1 | t^2.01 + 2*t^2.28 + t^2.54 + t^2.85 + t^3.15 + t^3.42 + t^4.03 + 3*t^4.29 + 4*t^4.55 + t^4.6 + 2*t^4.82 + 2*t^4.86 + t^5.08 + 2*t^5.12 + t^5.17 + t^5.39 + 3*t^5.43 + 3*t^5.69 + t^5.96 - t^6. + t^6.04 + 3*t^6.31 + 6*t^6.57 + t^6.61 + 7*t^6.83 + 3*t^6.88 + 4*t^7.1 + 5*t^7.14 + t^7.18 + 2*t^7.36 + 4*t^7.4 + 3*t^7.45 + t^7.62 + 2*t^7.66 + 6*t^7.71 + t^7.75 + t^7.93 + 6*t^7.97 - t^8.01 + t^8.06 + 3*t^8.23 + 2*t^8.32 + t^8.5 - t^8.54 + 3*t^8.58 + t^8.63 + 4*t^8.85 + 4*t^8.89 + t^8.28/y^2 - t^8.58/y^2 - (2*t^8.85)/y^2 - t^3.57/y - t^4.71/y - t^5.58/y - (2*t^5.85)/y - t^6.11/y - t^6.42/y - (2*t^6.72)/y - (3*t^6.99)/y - t^7.25/y + (3*t^7.29)/y + (2*t^7.55)/y - t^7.6/y + (2*t^7.82)/y - (2*t^7.86)/y - (3*t^8.12)/y + t^8.17/y - t^8.39/y + (3*t^8.43)/y - t^8.65/y + (2*t^8.69)/y - (2*t^8.74)/y - t^3.57*y - t^4.71*y - t^5.58*y - 2*t^5.85*y - t^6.11*y - t^6.42*y - 2*t^6.72*y - 3*t^6.99*y - t^7.25*y + 3*t^7.29*y + 2*t^7.55*y - t^7.6*y + 2*t^7.82*y - 2*t^7.86*y - 3*t^8.12*y + t^8.17*y - t^8.39*y + 3*t^8.43*y - t^8.65*y + 2*t^8.69*y - 2*t^8.74*y + t^8.28*y^2 - t^8.58*y^2 - 2*t^8.85*y^2 | g1^7*t^2.01 + (2*t^2.28)/g1^4 + t^2.54/g1^15 + t^2.85/g1^5 + g1^5*t^3.15 + t^3.42/g1^6 + g1^14*t^4.03 + 3*g1^3*t^4.29 + (4*t^4.55)/g1^8 + g1^13*t^4.6 + (2*t^4.82)/g1^19 + 2*g1^2*t^4.86 + t^5.08/g1^30 + (2*t^5.12)/g1^9 + g1^12*t^5.17 + t^5.39/g1^20 + 3*g1*t^5.43 + (3*t^5.69)/g1^10 + t^5.96/g1^21 - t^6. + g1^21*t^6.04 + 3*g1^10*t^6.31 + (6*t^6.57)/g1 + g1^20*t^6.61 + (7*t^6.83)/g1^12 + 3*g1^9*t^6.88 + (4*t^7.1)/g1^23 + (5*t^7.14)/g1^2 + g1^19*t^7.18 + (2*t^7.36)/g1^34 + (4*t^7.4)/g1^13 + 3*g1^8*t^7.45 + t^7.62/g1^45 + (2*t^7.66)/g1^24 + (6*t^7.71)/g1^3 + g1^18*t^7.75 + t^7.93/g1^35 + (6*t^7.97)/g1^14 - g1^7*t^8.01 + g1^28*t^8.06 + (3*t^8.23)/g1^25 + 2*g1^17*t^8.32 + t^8.5/g1^36 - t^8.54/g1^15 + 3*g1^6*t^8.58 + g1^27*t^8.63 + (4*t^8.85)/g1^5 + 4*g1^16*t^8.89 + t^8.28/(g1^4*y^2) - (g1^6*t^8.58)/y^2 - (2*t^8.85)/(g1^5*y^2) - t^3.57/(g1*y) - t^4.71/(g1^3*y) - (g1^6*t^5.58)/y - (2*t^5.85)/(g1^5*y) - t^6.11/(g1^16*y) - t^6.42/(g1^6*y) - (2*g1^4*t^6.72)/y - (3*t^6.99)/(g1^7*y) - t^7.25/(g1^18*y) + (3*g1^3*t^7.29)/y + (2*t^7.55)/(g1^8*y) - (g1^13*t^7.6)/y + (2*t^7.82)/(g1^19*y) - (2*g1^2*t^7.86)/y - (3*t^8.12)/(g1^9*y) + (g1^12*t^8.17)/y - t^8.39/(g1^20*y) + (3*g1*t^8.43)/y - t^8.65/(g1^31*y) + (2*t^8.69)/(g1^10*y) - (2*g1^11*t^8.74)/y - (t^3.57*y)/g1 - (t^4.71*y)/g1^3 - g1^6*t^5.58*y - (2*t^5.85*y)/g1^5 - (t^6.11*y)/g1^16 - (t^6.42*y)/g1^6 - 2*g1^4*t^6.72*y - (3*t^6.99*y)/g1^7 - (t^7.25*y)/g1^18 + 3*g1^3*t^7.29*y + (2*t^7.55*y)/g1^8 - g1^13*t^7.6*y + (2*t^7.82*y)/g1^19 - 2*g1^2*t^7.86*y - (3*t^8.12*y)/g1^9 + g1^12*t^8.17*y - (t^8.39*y)/g1^20 + 3*g1*t^8.43*y - (t^8.65*y)/g1^31 + (2*t^8.69*y)/g1^10 - 2*g1^11*t^8.74*y + (t^8.28*y^2)/g1^4 - g1^6*t^8.58*y^2 - (2*t^8.85*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 9076 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1^2q_1q_2$ + $ M_6\phi_1^3q_1^2$ + $ M_6^2$ + $ M_4X_2$ + $ M_5X_3$ + $ \phi_1^4X_4$ | 0.8457 | 0.9082 | 0.9312 | [X:[1.7143, 1.8571, 1.4286, 1.4286], M:[0.8571, 1.2857, 0.7143, 0.1429, 0.5714, 1.0], q:[0.2857, 0.8571], qb:[], phi:[0.1429]] | t^2.14 + t^2.57 + t^3. + t^3.86 + 2*t^4.29 + t^4.71 + 2*t^5.14 + t^5.57 - t^3.43/y - t^4.29/y - t^5.57/y - t^6./y - t^3.43*y - t^4.29*y - t^5.57*y - t^6.*y | detail | {a: 663/784, c: 89/98, X1: 12/7, X2: 13/7, X3: 10/7, X4: 10/7, M1: 6/7, M2: 9/7, M3: 5/7, M4: 1/7, M5: 4/7, M6: 1, q1: 2/7, q2: 6/7, phi1: 1/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8881 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2M_3$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1^2q_1q_2$ | 1.1692 | 1.3125 | 0.8908 | [X:[1.6206], M:[1.1383, 1.0514, 0.9486, 0.8459, 0.7589], q:[0.3794, 0.4822], qb:[], phi:[0.1897]] | 2*t^2.28 + t^2.54 + t^2.85 + t^3.15 + t^3.42 + t^3.98 + t^4.29 + 3*t^4.55 + t^4.6 + 2*t^4.81 + t^4.86 + t^5.08 + 2*t^5.12 + t^5.38 + 2*t^5.43 + 3*t^5.69 + t^5.95 - t^6. - t^3.57/y - t^4.71/y - (2*t^5.85)/y - t^3.57*y - t^4.71*y - 2*t^5.85*y | detail |