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 |
|---|---|---|---|---|---|---|---|---|---|
| 50763 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ | 0.652 | 0.8141 | 0.8009 | [X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.7817, 0.8122], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [-4]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | . | -3 | 2*t^2.35 + 2*t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.75 + t^3.93 + t^4.6 + 4*t^4.69 + 3*t^4.78 + 4*t^4.87 + 2*t^4.96 + t^5.06 + t^5.24 + t^5.73 + 5*t^5.82 + t^5.91 - 3*t^6. + 2*t^6.09 + t^6.18 + 3*t^6.37 + t^6.55 + t^6.76 + t^6.85 + 6*t^7.04 + 4*t^7.13 + 4*t^7.22 + 8*t^7.31 + 2*t^7.4 + t^7.49 + 2*t^7.58 + 2*t^7.68 + 2*t^7.86 + t^7.98 + 2*t^8.07 + 5*t^8.16 + 4*t^8.25 - 5*t^8.35 - 3*t^8.44 - t^8.62 + 2*t^8.71 + 4*t^8.8 + 2*t^8.99 - t^4.22/y - (2*t^6.56)/y - t^6.65/y - t^6.84/y + t^7.6/y + t^7.69/y + (5*t^7.78)/y + (3*t^7.87)/y + (2*t^7.96)/y + (2*t^8.06)/y + (2*t^8.73)/y + (4*t^8.82)/y - t^8.91/y - t^4.22*y - 2*t^6.56*y - t^6.65*y - t^6.84*y + t^7.6*y + t^7.69*y + 5*t^7.78*y + 3*t^7.87*y + 2*t^7.96*y + 2*t^8.06*y + 2*t^8.73*y + 4*t^8.82*y - t^8.91*y | 2*g1^6*t^2.35 + (2*t^2.44)/g1^4 + t^2.62/g1^24 + g1^24*t^3.38 + g1^14*t^3.47 + t^3.75/g1^16 + t^3.93/g1^36 + g1^22*t^4.6 + 4*g1^12*t^4.69 + 3*g1^2*t^4.78 + (4*t^4.87)/g1^8 + (2*t^4.96)/g1^18 + t^5.06/g1^28 + t^5.24/g1^48 + g1^30*t^5.73 + 5*g1^20*t^5.82 + g1^10*t^5.91 - 3*t^6. + (2*t^6.09)/g1^10 + t^6.18/g1^20 + (3*t^6.37)/g1^40 + t^6.55/g1^60 + g1^48*t^6.76 + g1^38*t^6.85 + 6*g1^18*t^7.04 + 4*g1^8*t^7.13 + (4*t^7.22)/g1^2 + (8*t^7.31)/g1^12 + (2*t^7.4)/g1^22 + t^7.49/g1^32 + (2*t^7.58)/g1^42 + (2*t^7.68)/g1^52 + (2*t^7.86)/g1^72 + g1^46*t^7.98 + 2*g1^36*t^8.07 + 5*g1^26*t^8.16 + 4*g1^16*t^8.25 - 5*g1^6*t^8.35 - (3*t^8.44)/g1^4 - t^8.62/g1^24 + (2*t^8.71)/g1^34 + (4*t^8.8)/g1^44 + (2*t^8.99)/g1^64 - t^4.22/(g1^2*y) - (2*g1^4*t^6.56)/y - t^6.65/(g1^6*y) - t^6.84/(g1^26*y) + (g1^22*t^7.6)/y + (g1^12*t^7.69)/y + (5*g1^2*t^7.78)/y + (3*t^7.87)/(g1^8*y) + (2*t^7.96)/(g1^18*y) + (2*t^8.06)/(g1^28*y) + (2*g1^30*t^8.73)/y + (4*g1^20*t^8.82)/y - (g1^10*t^8.91)/y - (t^4.22*y)/g1^2 - 2*g1^4*t^6.56*y - (t^6.65*y)/g1^6 - (t^6.84*y)/g1^26 + g1^22*t^7.6*y + g1^12*t^7.69*y + 5*g1^2*t^7.78*y + (3*t^7.87*y)/g1^8 + (2*t^7.96*y)/g1^18 + (2*t^8.06*y)/g1^28 + 2*g1^30*t^8.73*y + 4*g1^20*t^8.82*y - g1^10*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 56106 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ + $ M_4^2$ | 0.6366 | 0.798 | 0.7977 | [X:[1.5], M:[0.5, 1.1667, 0.75, 1.0, 0.75, 0.8333], q:[0.7917, 0.7083], qb:[0.5417, 0.2917], phi:[0.4167]] | 2*t^2.25 + 2*t^2.5 + 2*t^3. + t^3.25 + t^4. + t^4.25 + 5*t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 6*t^5.5 + t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 3911/6144, c: 4903/6144, X1: 3/2, M1: 1/2, M2: 7/6, M3: 3/4, M4: 1, M5: 3/4, M6: 5/6, q1: 19/24, q2: 17/24, qb1: 13/24, qb2: 7/24, phi1: 5/12} |
| 56118 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.8132, 0.6812], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | t^2.04 + 2*t^2.34 + 2*t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.76 + t^4.09 + 2*t^4.38 + 2*t^4.48 + t^4.58 + 5*t^4.68 + 3*t^4.78 + 4*t^4.88 + 2*t^4.98 + t^5.08 + t^5.28 + t^5.41 + t^5.5 + t^5.7 + 6*t^5.8 + t^5.9 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 56117 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6712 | 0.8493 | 0.7903 | [X:[1.557], M:[0.443, 1.1857, 0.7785, 0.8859, 0.7785, 0.8143, 0.7427], q:[0.7964, 0.7606], qb:[0.4609, 0.3535], phi:[0.4072]] | t^2.23 + 2*t^2.34 + 2*t^2.44 + t^2.66 + t^3.34 + t^3.45 + t^3.99 + t^4.46 + 3*t^4.56 + 6*t^4.67 + 3*t^4.78 + 5*t^4.89 + 2*t^4.99 + t^5.1 + t^5.32 + t^5.57 + 2*t^5.68 + 5*t^5.79 + t^5.89 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 56116 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6661 | 0.8389 | 0.794 | [X:[1.5734], M:[0.4266, 1.1911, 0.7867, 0.8532, 0.7867, 0.8089, 0.8311], q:[0.7978, 0.7756], qb:[0.4377, 0.3712], phi:[0.4044]] | 2*t^2.36 + 2*t^2.43 + t^2.49 + t^2.56 + t^3.44 + t^3.71 + t^3.84 + t^4.65 + 4*t^4.72 + 3*t^4.79 + 6*t^4.85 + 4*t^4.92 + 2*t^4.99 + t^5.05 + t^5.12 + t^5.8 + 3*t^5.87 - 3*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47277 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.76 + t^3.95 + t^4.58 + 4*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.98 + t^5.27 + t^5.71 + 4*t^5.8 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |