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 |
|---|---|---|---|---|---|---|---|---|---|
| 4458 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6643 | 0.8999 | 0.7382 | [X:[], M:[0.9232, 1.2304, 0.9232, 0.7696, 0.7696, 0.692, 0.8457, 0.7696], q:[0.7308, 0.346], qb:[0.346, 0.4235], phi:[0.5384]] | [X:[], M:[[4], [-12], [4], [12], [12], [-10], [-18], [12]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ M_5$, $ M_8$, $ q_2\tilde{q}_2$, $ M_7$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_5M_6$, $ M_6M_8$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_8q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_7q_2\tilde{q}_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_8$, $ M_5M_8$, $ M_8^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_8q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_6$, $ M_3M_6$, $ M_4M_7$, $ M_5M_7$, $ M_7M_8$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ M_1M_8$, $ M_3M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_7$, $ M_3M_7$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ M_8q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_3q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_8\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 1 | 2*t^2.08 + 4*t^2.31 + t^2.54 + 2*t^2.77 + t^3.23 + t^3.69 + t^3.92 + 3*t^4.15 + t^4.16 + 8*t^4.38 + 2*t^4.61 + 10*t^4.62 + 8*t^4.85 + t^5.07 + 8*t^5.08 + 4*t^5.31 + 6*t^5.54 + t^5.77 + t^6. + 8*t^6.23 + 11*t^6.46 + 4*t^6.47 + 23*t^6.69 + 12*t^6.92 + 21*t^6.93 + 23*t^7.15 + 9*t^7.38 + 19*t^7.39 + t^7.61 + 13*t^7.62 + 3*t^7.84 + 14*t^7.85 + 6*t^8.3 - 2*t^8.31 + 15*t^8.54 + 28*t^8.77 - t^4.62/y - t^6.69/y - (2*t^6.92)/y + (7*t^7.38)/y + (2*t^7.61)/y + (6*t^7.62)/y + (9*t^7.85)/y + (9*t^8.08)/y + (6*t^8.31)/y + (6*t^8.54)/y + (2*t^8.77)/y - t^4.62*y - t^6.69*y - 2*t^6.92*y + 7*t^7.38*y + 2*t^7.61*y + 6*t^7.62*y + 9*t^7.85*y + 9*t^8.08*y + 6*t^8.31*y + 6*t^8.54*y + 2*t^8.77*y | (2*t^2.08)/g1^10 + 4*g1^12*t^2.31 + t^2.54/g1^18 + 2*g1^4*t^2.77 + t^3.23/g1^4 + t^3.69/g1^12 + g1^10*t^3.92 + (3*t^4.15)/g1^20 + g1^32*t^4.16 + 8*g1^2*t^4.38 + (2*t^4.61)/g1^28 + 10*g1^24*t^4.62 + (8*t^4.85)/g1^6 + t^5.07/g1^36 + 8*g1^16*t^5.08 + (4*t^5.31)/g1^14 + 6*g1^8*t^5.54 + t^5.77/g1^22 + t^6. + (5*t^6.23)/g1^30 + 3*g1^22*t^6.23 + (11*t^6.46)/g1^8 + 4*g1^44*t^6.47 + (3*t^6.69)/g1^38 + 20*g1^14*t^6.69 + (12*t^6.92)/g1^16 + 21*g1^36*t^6.93 + (2*t^7.15)/g1^46 + 21*g1^6*t^7.15 + (9*t^7.38)/g1^24 + 19*g1^28*t^7.39 + t^7.61/g1^54 + (13*t^7.62)/g1^2 + (3*t^7.84)/g1^32 + 14*g1^20*t^7.85 - t^8.08/g1^10 + g1^42*t^8.08 + (6*t^8.3)/g1^40 - 3*g1^12*t^8.31 + g1^64*t^8.31 + (9*t^8.54)/g1^18 + 6*g1^34*t^8.54 + (5*t^8.77)/g1^48 + 13*g1^4*t^8.77 + 10*g1^56*t^8.77 - t^4.62/(g1^2*y) - t^6.69/(g1^12*y) - (2*g1^10*t^6.92)/y + (7*g1^2*t^7.38)/y + (2*t^7.61)/(g1^28*y) + (6*g1^24*t^7.62)/y + (9*t^7.85)/(g1^6*y) + (9*g1^16*t^8.08)/y + (6*t^8.31)/(g1^14*y) + (6*g1^8*t^8.54)/y + (2*t^8.77)/(g1^22*y) - (t^4.62*y)/g1^2 - (t^6.69*y)/g1^12 - 2*g1^10*t^6.92*y + 7*g1^2*t^7.38*y + (2*t^7.61*y)/g1^28 + 6*g1^24*t^7.62*y + (9*t^7.85*y)/g1^6 + 9*g1^16*t^8.08*y + (6*t^8.31*y)/g1^14 + 6*g1^8*t^8.54*y + (2*t^8.77*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 5961 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_1\tilde{q}_2$ | 0.685 | 0.9397 | 0.7289 | [X:[], M:[0.9237, 1.2288, 0.9237, 0.7712, 0.7712, 0.6906, 0.8432, 0.7712, 0.6906], q:[0.7309, 0.3453], qb:[0.3453, 0.4259], phi:[0.5381]] | 3*t^2.07 + 4*t^2.31 + t^2.53 + 2*t^2.77 + t^3.23 + t^3.69 + 6*t^4.14 + t^4.17 + 12*t^4.39 + 3*t^4.6 + 10*t^4.63 + 10*t^4.84 + t^5.06 + 8*t^5.08 + 5*t^5.3 + 6*t^5.54 + 2*t^5.76 - t^6. - t^4.61/y - t^4.61*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2416 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6463 | 0.8674 | 0.7451 | [X:[], M:[0.9259, 1.2224, 0.9259, 0.7776, 0.7776, 0.6853, 0.8336], q:[0.7315, 0.3427], qb:[0.3427, 0.4349], phi:[0.5371]] | 2*t^2.06 + 3*t^2.33 + t^2.5 + 2*t^2.78 + t^3.22 + 2*t^3.67 + t^3.94 + 3*t^4.11 + t^4.22 + 6*t^4.39 + 2*t^4.56 + 6*t^4.67 + 7*t^4.83 + t^5. + 6*t^5.11 + 4*t^5.28 + 5*t^5.56 + 3*t^5.72 + 3*t^6. - t^4.61/y - t^4.61*y | detail |