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 |
|---|---|---|---|---|---|---|---|---|---|
| 2802 | 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_4\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ | 0.6252 | 0.8113 | 0.7706 | [X:[], M:[0.989, 1.0331, 0.989, 0.7583, 0.7803], q:[0.7472, 0.2638], qb:[0.4724, 0.4945], phi:[0.5055]] | [X:[], M:[[4], [-12], [4], [-3], [-11]], q:[[1], [-5]], qb:[[10], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ M_4$, $ q_2\tilde{q}_2$, $ M_5$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_5$, $ M_5q_2\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_4$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$ | $q_1q_2\tilde{q}_2^2$ | -1 | t^2.21 + 2*t^2.27 + t^2.34 + 2*t^2.97 + 2*t^3.1 + t^3.73 + t^3.79 + t^4.35 + 2*t^4.42 + 3*t^4.48 + 4*t^4.55 + 2*t^4.62 + t^4.68 + 2*t^5.18 + 4*t^5.24 + 3*t^5.31 + 3*t^5.37 + 2*t^5.44 + 2*t^5.93 - t^6. + 4*t^6.07 + t^6.13 + 3*t^6.2 + t^6.56 + 2*t^6.63 + 4*t^6.69 + 5*t^6.76 + 6*t^6.82 + 5*t^6.89 + 2*t^6.96 + t^7.02 + t^7.32 + 2*t^7.38 + 3*t^7.45 + 7*t^7.52 + 6*t^7.58 + 7*t^7.65 + 3*t^7.72 + 2*t^7.78 - t^8.27 + 2*t^8.34 + 5*t^8.41 + 5*t^8.47 + 3*t^8.54 + t^8.7 + 2*t^8.77 + 3*t^8.83 + 4*t^8.9 - t^8.97 - t^4.52/y - t^6.79/y - t^6.86/y + t^7.42/y + t^7.48/y + (3*t^7.55)/y + t^7.62/y + (3*t^8.18)/y + (5*t^8.24)/y + (4*t^8.31)/y + (4*t^8.37)/y + (2*t^8.44)/y + (2*t^8.93)/y - t^4.52*y - t^6.79*y - t^6.86*y + t^7.42*y + t^7.48*y + 3*t^7.55*y + t^7.62*y + 3*t^8.18*y + 5*t^8.24*y + 4*t^8.31*y + 4*t^8.37*y + 2*t^8.44*y + 2*t^8.93*y | g1^5*t^2.21 + (2*t^2.27)/g1^3 + t^2.34/g1^11 + 2*g1^4*t^2.97 + (2*t^3.1)/g1^12 + g1^3*t^3.73 + t^3.79/g1^5 + g1^18*t^4.35 + 2*g1^10*t^4.42 + 3*g1^2*t^4.48 + (4*t^4.55)/g1^6 + (2*t^4.62)/g1^14 + t^4.68/g1^22 + 2*g1^9*t^5.18 + 4*g1*t^5.24 + (3*t^5.31)/g1^7 + (3*t^5.37)/g1^15 + (2*t^5.44)/g1^23 + 2*g1^8*t^5.93 - t^6. + (4*t^6.07)/g1^8 + t^6.13/g1^16 + (3*t^6.2)/g1^24 + g1^23*t^6.56 + 2*g1^15*t^6.63 + 4*g1^7*t^6.69 + (5*t^6.76)/g1 + (6*t^6.82)/g1^9 + (5*t^6.89)/g1^17 + (2*t^6.96)/g1^25 + t^7.02/g1^33 + g1^22*t^7.32 + 2*g1^14*t^7.38 + 3*g1^6*t^7.45 + (7*t^7.52)/g1^2 + (6*t^7.58)/g1^10 + (7*t^7.65)/g1^18 + (3*t^7.72)/g1^26 + (2*t^7.78)/g1^34 - t^8.27/g1^3 + (2*t^8.34)/g1^11 + (5*t^8.41)/g1^19 + (5*t^8.47)/g1^27 + (3*t^8.54)/g1^35 + g1^36*t^8.7 + 2*g1^28*t^8.77 + 3*g1^20*t^8.83 + 4*g1^12*t^8.9 - g1^4*t^8.97 - t^4.52/(g1^2*y) - t^6.79/(g1^5*y) - t^6.86/(g1^13*y) + (g1^10*t^7.42)/y + (g1^2*t^7.48)/y + (3*t^7.55)/(g1^6*y) + t^7.62/(g1^14*y) + (3*g1^9*t^8.18)/y + (5*g1*t^8.24)/y + (4*t^8.31)/(g1^7*y) + (4*t^8.37)/(g1^15*y) + (2*t^8.44)/(g1^23*y) + (2*g1^8*t^8.93)/y - (t^4.52*y)/g1^2 - (t^6.79*y)/g1^5 - (t^6.86*y)/g1^13 + g1^10*t^7.42*y + g1^2*t^7.48*y + (3*t^7.55*y)/g1^6 + (t^7.62*y)/g1^14 + 3*g1^9*t^8.18*y + 5*g1*t^8.24*y + (4*t^8.31*y)/g1^7 + (4*t^8.37*y)/g1^15 + (2*t^8.44*y)/g1^23 + 2*g1^8*t^8.93*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3325 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_5$ | 0.6155 | 0.7976 | 0.7717 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + 2*t^2.35 + t^2.61 + 2*t^2.87 + 2*t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 4*t^4.7 + 4*t^4.96 + 5*t^5.22 + 3*t^5.48 + 5*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 119823/194672, c: 77633/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 18/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 3326 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6439 | 0.8454 | 0.7616 | [X:[], M:[0.9907, 1.0278, 0.9907, 0.757, 0.7755, 0.757], q:[0.7477, 0.2616], qb:[0.4768, 0.4954], phi:[0.5046]] | t^2.22 + 3*t^2.27 + t^2.33 + 2*t^2.97 + 2*t^3.08 + t^3.78 + t^4.37 + 2*t^4.43 + 4*t^4.49 + 7*t^4.54 + 3*t^4.6 + t^4.65 + 2*t^5.19 + 6*t^5.24 + 3*t^5.3 + 5*t^5.35 + 2*t^5.41 + t^5.94 - 3*t^6. - t^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1791 | 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_4\phi_1q_2\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6082 | 0.781 | 0.7787 | [X:[], M:[0.9798, 1.0606, 0.9798, 0.7652], q:[0.7449, 0.2753], qb:[0.4495, 0.4899], phi:[0.5101]] | t^2.17 + 2*t^2.3 + 2*t^2.94 + 2*t^3.18 + t^3.58 + t^3.7 + t^3.83 + t^4.23 + 2*t^4.35 + 3*t^4.47 + 3*t^4.59 + 2*t^5.11 + 4*t^5.23 + t^5.36 + 3*t^5.48 + t^5.76 + 4*t^5.88 - t^6. - t^4.53/y - t^4.53*y | detail |