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 |
|---|---|---|---|---|---|---|---|---|---|
| 45973 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ | 0.613 | 0.7886 | 0.7773 | [X:[], M:[0.9658, 0.8098], q:[0.7415, 0.2927], qb:[0.4487, 0.4487], phi:[0.5171]] | [X:[], M:[[4], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_2^2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 1 | 2*t^2.22 + t^2.43 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.57 + 2*t^3.78 + 3*t^4.24 + 3*t^4.45 + 2*t^4.65 + t^4.86 + 2*t^4.92 + 3*t^5.12 + 3*t^5.33 + t^5.38 + t^5.53 + t^5.59 + t^5.74 + 3*t^5.79 + t^6. + 2*t^6.21 + t^6.26 + t^6.41 + 5*t^6.47 + t^6.62 + 6*t^6.67 + 2*t^6.88 + 3*t^6.94 + 2*t^7.08 + 4*t^7.14 + t^7.29 + 5*t^7.35 + 4*t^7.55 + 2*t^7.61 + 2*t^7.76 + 4*t^7.81 + t^7.96 + 6*t^8.02 + t^8.08 + t^8.17 - t^8.22 + t^8.28 - t^8.43 + 8*t^8.49 + 2*t^8.63 + 4*t^8.69 + t^8.84 + 3*t^8.9 + t^8.96 - t^4.55/y - t^6.98/y + t^7.45/y + (2*t^7.65)/y + (2*t^7.92)/y + (4*t^8.12)/y + (3*t^8.33)/y + (3*t^8.53)/y + t^8.59/y + t^8.74/y + (3*t^8.79)/y - t^4.55*y - t^6.98*y + t^7.45*y + 2*t^7.65*y + 2*t^7.92*y + 4*t^8.12*y + 3*t^8.33*y + 3*t^8.53*y + t^8.59*y + t^8.74*y + 3*t^8.79*y | 2*g1*t^2.22 + t^2.43/g1^7 + g1^12*t^2.69 + g1^4*t^2.9 + t^3.1/g1^4 + t^3.31/g1^12 + g1^7*t^3.57 + (2*t^3.78)/g1 + 3*g1^10*t^4.24 + 3*g1^2*t^4.45 + (2*t^4.65)/g1^6 + t^4.86/g1^14 + 2*g1^13*t^4.92 + 3*g1^5*t^5.12 + (3*t^5.33)/g1^3 + g1^24*t^5.38 + t^5.53/g1^11 + g1^16*t^5.59 + t^5.74/g1^19 + 3*g1^8*t^5.79 + t^6. + (2*t^6.21)/g1^8 + g1^19*t^6.26 + t^6.41/g1^16 + 5*g1^11*t^6.47 + t^6.62/g1^24 + 6*g1^3*t^6.67 + (2*t^6.88)/g1^5 + 3*g1^22*t^6.94 + (2*t^7.08)/g1^13 + 4*g1^14*t^7.14 + t^7.29/g1^21 + 5*g1^6*t^7.35 + (4*t^7.55)/g1^2 + 2*g1^25*t^7.61 + (2*t^7.76)/g1^10 + 4*g1^17*t^7.81 + t^7.96/g1^18 + 6*g1^9*t^8.02 + g1^36*t^8.08 + t^8.17/g1^26 - g1*t^8.22 + g1^28*t^8.28 - t^8.43/g1^7 + 8*g1^20*t^8.49 + (2*t^8.63)/g1^15 + 4*g1^12*t^8.69 + t^8.84/g1^23 + 3*g1^4*t^8.9 + g1^31*t^8.96 - t^4.55/(g1^2*y) - t^6.98/(g1^9*y) + (g1^2*t^7.45)/y + (2*t^7.65)/(g1^6*y) + (2*g1^13*t^7.92)/y + (4*g1^5*t^8.12)/y + (3*t^8.33)/(g1^3*y) + (3*t^8.53)/(g1^11*y) + (g1^16*t^8.59)/y + t^8.74/(g1^19*y) + (3*g1^8*t^8.79)/y - (t^4.55*y)/g1^2 - (t^6.98*y)/g1^9 + g1^2*t^7.45*y + (2*t^7.65*y)/g1^6 + 2*g1^13*t^7.92*y + 4*g1^5*t^8.12*y + (3*t^8.33*y)/g1^3 + (3*t^8.53*y)/g1^11 + g1^16*t^8.59*y + (t^8.74*y)/g1^19 + 3*g1^8*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 46126 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_1M_3$ | 0.6101 | 0.7833 | 0.7789 | [X:[], M:[0.9726, 0.798, 1.0274], q:[0.7431, 0.2843], qb:[0.4589, 0.4589], phi:[0.5137]] | 2*t^2.23 + t^2.39 + t^2.75 + 2*t^3.08 + t^3.25 + t^3.61 + 2*t^3.77 + 3*t^4.29 + 3*t^4.46 + 2*t^4.62 + t^4.79 + 2*t^4.98 + t^5.15 + 4*t^5.31 + 2*t^5.48 + t^5.51 + t^5.64 + 3*t^5.84 - t^4.54/y - t^4.54*y | detail | |
| 46224 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_2\phi_1q_2^2$ | 0.6106 | 0.7883 | 0.7747 | [X:[], M:[0.9474, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 2*t^2.21 + 2*t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + 2*t^3.79 + 3*t^4.11 + 3*t^4.42 + 4*t^4.74 + 5*t^5.05 + 4*t^5.37 + 4*t^5.68 + 3*t^6. - t^4.58/y - t^4.58*y | detail | {a: 33507/54872, c: 21627/27436, M1: 18/19, M2: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 46256 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.6063 | 0.7771 | 0.7802 | [X:[], M:[0.986, 0.7745, 1.0421], q:[0.7465, 0.2675], qb:[0.479, 0.479], phi:[0.507]] | 2*t^2.24 + t^2.32 + t^2.96 + t^3.04 + 2*t^3.13 + t^3.68 + 2*t^3.76 + 3*t^4.39 + 3*t^4.48 + 2*t^4.56 + t^4.65 + 2*t^5.2 + 3*t^5.28 + 3*t^5.37 + 2*t^5.45 + 2*t^5.92 - t^4.52/y - t^4.52*y | detail | |
| 46132 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ \phi_1q_2^2\tilde{q}_2^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.5096 | 0.649 | 0.7852 | [X:[1.3846], M:[1.0769, 0.6154], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 3*t^2.31 + t^2.77 + t^3.23 + 3*t^3.69 + 2*t^4.15 + 4*t^4.62 + 6*t^5.08 + 2*t^5.54 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 17913/35152, c: 11407/17576, X1: 18/13, M1: 14/13, M2: 8/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45895 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ | 0.6135 | 0.7901 | 0.7764 | [X:[], M:[0.9652, 0.7952], q:[0.7413, 0.2934], qb:[0.4635, 0.4322], phi:[0.5174]] | t^2.18 + t^2.27 + t^2.39 + t^2.69 + t^2.9 + t^3.1 + t^3.31 + t^3.52 + t^3.73 + t^3.82 + t^4.15 + t^4.24 + t^4.33 + t^4.35 + t^4.45 + t^4.54 + t^4.56 + t^4.66 + t^4.77 + t^4.86 + t^4.96 + 2*t^5.07 + t^5.17 + 2*t^5.28 + t^5.37 + t^5.38 + t^5.49 + t^5.58 + 2*t^5.7 + 2*t^5.79 + t^5.91 - t^4.55/y - t^4.55*y | detail |