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 |
|---|---|---|---|---|---|---|---|---|---|
| 48283 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6802 | 0.8591 | 0.7917 | [X:[], M:[1.0558, 0.721, 0.8326, 1.1674, 0.721], q:[0.5151, 0.4291], qb:[0.764, 0.4035], phi:[0.4721]] | [X:[], M:[[4], [-20], [-12], [12], [-20]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_3M_5$, $ M_5q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ M_3\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_4M_5$, $ \phi_1^4$, $ M_2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | . | 2*t^2.16 + t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.5 + t^3.58 + t^3.91 + t^3.99 + t^4.17 + t^4.25 + 3*t^4.33 + t^4.51 + 2*t^4.66 + 2*t^4.92 + 3*t^5. + t^5.25 + 3*t^5.33 + t^5.51 + t^5.59 + 3*t^5.67 + t^5.74 - t^6. + 2*t^6.08 + 2*t^6.15 + 2*t^6.33 + 3*t^6.41 + 5*t^6.49 + 3*t^6.67 + 2*t^6.75 + 4*t^6.82 + t^6.93 + t^7. + 3*t^7.08 + 5*t^7.16 + t^7.26 + 6*t^7.49 + t^7.57 + t^7.67 + 2*t^7.75 + 6*t^7.83 + 2*t^7.91 + t^7.98 + t^8.01 - t^8.16 + 3*t^8.24 + t^8.27 + 3*t^8.32 + t^8.34 + 2*t^8.5 + 4*t^8.57 + 7*t^8.65 + t^8.68 - 2*t^8.76 + t^8.83 + 4*t^8.91 + 7*t^8.99 - t^4.42/y - (2*t^6.58)/y + t^7.33/y + (2*t^7.66)/y + (2*t^7.92)/y + (2*t^8.)/y + (3*t^8.25)/y + (3*t^8.33)/y + t^8.59/y + (3*t^8.67)/y - t^8.74/y + t^8.92/y - t^4.42*y - 2*t^6.58*y + t^7.33*y + 2*t^7.66*y + 2*t^7.92*y + 2*t^8.*y + 3*t^8.25*y + 3*t^8.33*y + t^8.59*y + 3*t^8.67*y - t^8.74*y + t^8.92*y | (2*t^2.16)/g1^20 + t^2.5/g1^12 + g1^30*t^2.76 + t^2.83/g1^4 + g1^4*t^3.17 + g1^12*t^3.5 + t^3.58/g1^22 + t^3.91/g1^14 + t^3.99/g1^48 + g1^28*t^4.17 + t^4.25/g1^6 + (3*t^4.33)/g1^40 + g1^36*t^4.51 + (2*t^4.66)/g1^32 + 2*g1^10*t^4.92 + (3*t^5.)/g1^24 + g1^18*t^5.25 + (3*t^5.33)/g1^16 + g1^60*t^5.51 + g1^26*t^5.59 + (3*t^5.67)/g1^8 + t^5.74/g1^42 - t^6. + (2*t^6.08)/g1^34 + (2*t^6.15)/g1^68 + 2*g1^8*t^6.33 + (3*t^6.41)/g1^26 + (5*t^6.49)/g1^60 + 3*g1^16*t^6.67 + (2*t^6.75)/g1^18 + (4*t^6.82)/g1^52 + g1^58*t^6.93 + g1^24*t^7. + (3*t^7.08)/g1^10 + (5*t^7.16)/g1^44 + g1^66*t^7.26 + (6*t^7.49)/g1^36 + t^7.57/g1^70 + g1^40*t^7.67 + 2*g1^6*t^7.75 + (6*t^7.83)/g1^28 + (2*t^7.91)/g1^62 + t^7.98/g1^96 + g1^48*t^8.01 - t^8.16/g1^20 + (3*t^8.24)/g1^54 + g1^90*t^8.27 + (3*t^8.32)/g1^88 + g1^56*t^8.34 + (2*t^8.5)/g1^12 + (4*t^8.57)/g1^46 + (7*t^8.65)/g1^80 + g1^64*t^8.68 - 2*g1^30*t^8.76 + t^8.83/g1^4 + (4*t^8.91)/g1^38 + (7*t^8.99)/g1^72 - t^4.42/(g1^2*y) - (2*t^6.58)/(g1^22*y) + t^7.33/(g1^40*y) + (2*t^7.66)/(g1^32*y) + (2*g1^10*t^7.92)/y + (2*t^8.)/(g1^24*y) + (3*g1^18*t^8.25)/y + (3*t^8.33)/(g1^16*y) + (g1^26*t^8.59)/y + (3*t^8.67)/(g1^8*y) - t^8.74/(g1^42*y) + (g1^34*t^8.92)/y - (t^4.42*y)/g1^2 - (2*t^6.58*y)/g1^22 + (t^7.33*y)/g1^40 + (2*t^7.66*y)/g1^32 + 2*g1^10*t^7.92*y + (2*t^8.*y)/g1^24 + 3*g1^18*t^8.25*y + (3*t^8.33*y)/g1^16 + g1^26*t^8.59*y + (3*t^8.67*y)/g1^8 - (t^8.74*y)/g1^42 + g1^34*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 55989 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2q_2\tilde{q}_1$ | 0.6756 | 0.8512 | 0.7937 | [X:[], M:[1.0476, 0.7619, 0.8571, 1.1429, 0.7619], q:[0.4762, 0.4762], qb:[0.7619, 0.381], phi:[0.4762]] | 2*t^2.29 + 2*t^2.57 + t^2.86 + t^3.14 + t^3.43 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 4*t^4.86 + 5*t^5.14 + 4*t^5.43 + 3*t^5.71 - t^4.43/y - t^4.43*y | detail | {a: 227/336, c: 143/168, M1: 22/21, M2: 16/21, M3: 6/7, M4: 8/7, M5: 16/21, q1: 10/21, q2: 10/21, qb1: 16/21, qb2: 8/21, phi1: 10/21} |
| 55990 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.7008 | 0.8987 | 0.7798 | [X:[], M:[1.0554, 0.7228, 0.8337, 1.1663, 0.7228, 0.694], q:[0.5133, 0.4312], qb:[0.7639, 0.4024], phi:[0.4723]] | t^2.08 + 2*t^2.17 + t^2.5 + t^2.75 + t^2.83 + t^3.17 + t^3.5 + t^3.59 + t^4. + 2*t^4.16 + 3*t^4.25 + 3*t^4.34 + t^4.5 + t^4.58 + 2*t^4.67 + t^4.83 + 3*t^4.92 + 3*t^5. + 2*t^5.25 + 3*t^5.33 + t^5.49 + 2*t^5.58 + 4*t^5.67 + t^5.75 - t^6. - t^4.42/y - t^4.42*y | detail | |
| 55991 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ | 0.7011 | 0.9007 | 0.7784 | [X:[], M:[1.0557, 0.7214, 0.8329, 1.1671, 0.7214, 0.6686], q:[0.5146, 0.4296], qb:[0.7639, 0.4032], phi:[0.4721]] | t^2.01 + 2*t^2.16 + t^2.5 + t^2.75 + t^2.83 + t^3.17 + t^3.5 + t^3.58 + t^3.92 + t^4.01 + 3*t^4.17 + t^4.25 + 3*t^4.33 + 2*t^4.5 + 2*t^4.66 + t^4.76 + t^4.84 + 2*t^4.92 + 3*t^5. + t^5.17 + t^5.25 + 3*t^5.33 + 2*t^5.51 + 2*t^5.59 + 3*t^5.67 + t^5.75 + t^5.92 - t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46544 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_4$ | 0.6603 | 0.8216 | 0.8036 | [X:[], M:[1.0547, 0.7265, 0.8359, 1.1641], q:[0.5099, 0.4354], qb:[0.7637, 0.4004], phi:[0.4726]] | t^2.18 + t^2.51 + t^2.73 + t^2.84 + t^3.16 + t^3.49 + t^3.6 + t^3.82 + t^3.93 + t^4.03 + t^4.15 + t^4.25 + t^4.36 + t^4.48 + t^4.69 + t^4.91 + 2*t^5.02 + t^5.24 + 2*t^5.34 + t^5.46 + t^5.57 + 2*t^5.67 - t^4.42/y - t^4.42*y | detail |