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 |
|---|---|---|---|---|---|---|---|---|---|
| 46362 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6285 | 0.8175 | 0.7689 | [X:[], M:[0.9769, 1.0231, 0.7673, 0.7673], q:[0.7442, 0.2789], qb:[0.4884, 0.4422], phi:[0.5116]] | [X:[], M:[[4], [-4], [-3], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_3\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | -2 | t^2.16 + 3*t^2.3 + t^2.79 + 2*t^3.07 + t^3.21 + t^3.56 + t^3.84 + t^4.19 + 2*t^4.33 + 4*t^4.47 + 6*t^4.6 + t^4.96 + 3*t^5.09 + 2*t^5.23 + 6*t^5.37 + 2*t^5.51 + t^5.58 + t^5.72 + 3*t^5.86 - 2*t^6. + 3*t^6.14 + 2*t^6.28 + 2*t^6.35 + t^6.42 + 3*t^6.49 + 6*t^6.63 + 6*t^6.77 + 9*t^6.91 + t^6.98 + 2*t^7.12 + 4*t^7.26 + 6*t^7.4 + 4*t^7.53 + 11*t^7.67 + 2*t^7.75 + 3*t^7.81 + 4*t^7.89 + t^8.02 + t^8.16 - 6*t^8.3 + 2*t^8.38 + 6*t^8.44 + 3*t^8.51 + 4*t^8.58 + 7*t^8.65 + 2*t^8.72 + 4*t^8.79 + 7*t^8.93 - t^4.53/y - (2*t^6.84)/y + (4*t^7.47)/y + (2*t^7.6)/y + t^7.96/y + (3*t^8.09)/y + (4*t^8.23)/y + (7*t^8.37)/y + (3*t^8.51)/y + t^8.72/y + (5*t^8.86)/y - t^4.53*y - 2*t^6.84*y + 4*t^7.47*y + 2*t^7.6*y + t^7.96*y + 3*t^8.09*y + 4*t^8.23*y + 7*t^8.37*y + 3*t^8.51*y + t^8.72*y + 5*t^8.86*y | g1^5*t^2.16 + (3*t^2.3)/g1^3 + g1^12*t^2.79 + (2*t^3.07)/g1^4 + t^3.21/g1^12 + g1^11*t^3.56 + t^3.84/g1^5 + g1^18*t^4.19 + 2*g1^10*t^4.33 + 4*g1^2*t^4.47 + (6*t^4.6)/g1^6 + g1^17*t^4.96 + 3*g1^9*t^5.09 + 2*g1*t^5.23 + (6*t^5.37)/g1^7 + (2*t^5.51)/g1^15 + g1^24*t^5.58 + g1^16*t^5.72 + 3*g1^8*t^5.86 - 2*t^6. + (3*t^6.14)/g1^8 + (2*t^6.28)/g1^16 + 2*g1^23*t^6.35 + t^6.42/g1^24 + 3*g1^15*t^6.49 + 6*g1^7*t^6.63 + (6*t^6.77)/g1 + (9*t^6.91)/g1^9 + g1^30*t^6.98 + 2*g1^22*t^7.12 + 4*g1^14*t^7.26 + 6*g1^6*t^7.4 + (4*t^7.53)/g1^2 + (11*t^7.67)/g1^10 + 2*g1^29*t^7.75 + (3*t^7.81)/g1^18 + 4*g1^21*t^7.89 + g1^13*t^8.02 + g1^5*t^8.16 - (6*t^8.3)/g1^3 + 2*g1^36*t^8.38 + (6*t^8.44)/g1^11 + 3*g1^28*t^8.51 + (4*t^8.58)/g1^19 + 7*g1^20*t^8.65 + (2*t^8.72)/g1^27 + 4*g1^12*t^8.79 + 7*g1^4*t^8.93 - t^4.53/(g1^2*y) - (2*t^6.84)/(g1^5*y) + (4*g1^2*t^7.47)/y + (2*t^7.6)/(g1^6*y) + (g1^17*t^7.96)/y + (3*g1^9*t^8.09)/y + (4*g1*t^8.23)/y + (7*t^8.37)/(g1^7*y) + (3*t^8.51)/(g1^15*y) + (g1^16*t^8.72)/y + (5*g1^8*t^8.86)/y - (t^4.53*y)/g1^2 - (2*t^6.84*y)/g1^5 + 4*g1^2*t^7.47*y + (2*t^7.6*y)/g1^6 + g1^17*t^7.96*y + 3*g1^9*t^8.09*y + 4*g1*t^8.23*y + (7*t^8.37*y)/g1^7 + (3*t^8.51*y)/g1^15 + g1^16*t^8.72*y + 5*g1^8*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 46920 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.645 | 0.8466 | 0.7619 | [X:[], M:[0.986, 1.014, 0.7605, 0.7605, 0.7885], q:[0.7465, 0.2675], qb:[0.493, 0.465], phi:[0.507]] | t^2.2 + 3*t^2.28 + t^2.37 + t^2.87 + 2*t^3.04 + t^3.13 + t^3.8 + t^4.31 + 2*t^4.39 + 4*t^4.48 + 7*t^4.56 + 3*t^4.65 + t^4.73 + t^5.07 + 3*t^5.16 + 3*t^5.24 + 6*t^5.32 + 4*t^5.41 + t^5.49 + t^5.75 - 2*t^6. - t^4.52/y - t^4.52*y | detail | |
| 48104 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6244 | 0.8111 | 0.7698 | [X:[], M:[0.9936, 1.0064, 0.7548, 0.7548, 1.0191], q:[0.7484, 0.258], qb:[0.4968, 0.4841], phi:[0.5032]] | t^2.23 + 3*t^2.26 + 2*t^3.02 + 2*t^3.06 + t^3.7 + t^3.77 + t^4.41 + 2*t^4.45 + 4*t^4.49 + 6*t^4.53 + 2*t^5.25 + 7*t^5.28 + 5*t^5.32 + t^5.92 + t^5.96 - 3*t^6. - t^4.51/y - t^4.51*y | detail | |
| 47022 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ q_2\tilde{q}_1\tilde{q}_2^2$ | 0.5751 | 0.759 | 0.7578 | [X:[], M:[1.0588, 0.9412, 0.7059, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 3*t^2.12 + 2*t^2.47 + 2*t^2.82 + 2*t^3.53 + 7*t^4.24 + 6*t^4.59 + 9*t^4.94 + 5*t^5.29 + 6*t^5.65 - t^6. - t^4.41/y - t^4.41*y | detail | {a: 22605/39304, c: 14915/19652, M1: 18/17, M2: 16/17, M3: 12/17, M4: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46118 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_2$ + $ q_1q_2\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_1$ | 0.6103 | 0.7849 | 0.7775 | [X:[], M:[0.9748, 1.0252, 0.7689], q:[0.7437, 0.2816], qb:[0.4874, 0.4369], phi:[0.5126]] | t^2.16 + 2*t^2.31 + t^2.77 + 2*t^3.08 + t^3.23 + t^3.54 + t^3.69 + t^3.84 + t^4.16 + 2*t^4.31 + 3*t^4.46 + 3*t^4.61 + t^4.93 + 2*t^5.08 + 2*t^5.23 + 4*t^5.38 + t^5.53 + t^5.55 + t^5.7 + 3*t^5.85 - t^4.54/y - t^4.54*y | detail |