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 |
|---|---|---|---|---|---|---|---|---|---|
| 2724 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ | 0.5838 | 0.6909 | 0.845 | [X:[1.7137, 1.4275], M:[0.7156, 0.2863, 0.8588, 0.7156], q:[0.8569, 0.8569], qb:[0.4275, 0.7137], phi:[0.2863]] | [X:[[2], [4]], M:[[-5], [-2], [-6], [-5]], q:[[1], [1]], qb:[[4], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_4$, $ q_1q_2$, $ X_1$, $ M_3^2$ | . | -3 | 2*t^2.15 + t^2.58 + t^3.42 + 2*t^4.28 + 3*t^4.29 + 2*t^4.71 + 2*t^4.72 + t^5.14 + t^5.15 - 3*t^6. + 4*t^6.44 + t^6.85 + 3*t^6.86 + 3*t^6.87 + 2*t^7.29 + 2*t^7.3 + t^7.71 + t^7.72 + t^7.73 - 6*t^8.15 - 3*t^8.58 + 5*t^8.59 - t^3.86/y - (2*t^6.01)/y - t^6.44/y + t^7.28/y + t^7.29/y + (2*t^7.71)/y + (2*t^7.72)/y - (3*t^8.15)/y + (2*t^8.57)/y - (2*t^8.58)/y - t^3.86*y - 2*t^6.01*y - t^6.44*y + t^7.28*y + t^7.29*y + 2*t^7.71*y + 2*t^7.72*y - 3*t^8.15*y + 2*t^8.57*y - 2*t^8.58*y | (2*t^2.15)/g1^5 + t^2.58/g1^6 + g1^6*t^3.42 + 2*g1^4*t^4.28 + (3*t^4.29)/g1^10 + 2*g1^3*t^4.71 + (2*t^4.72)/g1^11 + g1^2*t^5.14 + t^5.15/g1^12 - 3*t^6. + (4*t^6.44)/g1^15 + g1^12*t^6.85 + (3*t^6.86)/g1^2 + (3*t^6.87)/g1^16 + (2*t^7.29)/g1^3 + (2*t^7.3)/g1^17 + g1^10*t^7.71 + t^7.72/g1^4 + t^7.73/g1^18 - (6*t^8.15)/g1^5 - (3*t^8.58)/g1^6 + (5*t^8.59)/g1^20 - t^3.86/(g1^2*y) - (2*t^6.01)/(g1^7*y) - t^6.44/(g1^8*y) + (g1^4*t^7.28)/y + t^7.29/(g1^10*y) + (2*g1^3*t^7.71)/y + (2*t^7.72)/(g1^11*y) - (3*t^8.15)/(g1^12*y) + (2*g1*t^8.57)/y - (2*t^8.58)/(g1^13*y) - (t^3.86*y)/g1^2 - (2*t^6.01*y)/g1^7 - (t^6.44*y)/g1^8 + g1^4*t^7.28*y + (t^7.29*y)/g1^10 + 2*g1^3*t^7.71*y + (2*t^7.72*y)/g1^11 - (3*t^8.15*y)/g1^12 + 2*g1*t^8.57*y - (2*t^8.58*y)/g1^13 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3240 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ \phi_1^2X_2$ + $ M_3M_5$ | 0.5731 | 0.6732 | 0.8513 | [X:[1.6989, 1.3978], M:[0.7527, 0.3011, 0.9032, 0.7527, 1.0968], q:[0.8495, 0.8495], qb:[0.3978, 0.6989], phi:[0.3011]] | 2*t^2.26 + 2*t^3.29 + 2*t^4.19 + 3*t^4.52 + 2*t^4.65 + t^5.1 + 2*t^5.55 - 4*t^6. - t^3.9/y - t^3.9*y | detail | {a: 26435/46128, c: 15527/23064, X1: 158/93, X2: 130/93, M1: 70/93, M2: 28/93, M3: 28/31, M4: 70/93, M5: 34/31, q1: 79/93, q2: 79/93, qb1: 37/93, qb2: 65/93, phi1: 28/93} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1721 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6895 | 0.8748 | 0.7882 | [X:[], M:[0.692, 0.7027, 0.6884, 0.692], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]] | t^2.07 + 2*t^2.08 + t^2.09 + t^2.11 + t^2.87 + 2*t^3.9 + t^3.91 + t^4.13 + 2*t^4.14 + 4*t^4.15 + 2*t^4.16 + 2*t^4.17 + 2*t^4.18 + t^4.19 + t^4.22 + t^4.94 + 2*t^4.95 + 2*t^4.96 + t^4.98 + t^5.74 + 2*t^5.97 + 4*t^5.98 + 2*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*y | detail |