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 |
|---|---|---|---|---|---|---|---|---|---|
| 2963 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6759 | 0.8533 | 0.7921 | [X:[], M:[0.839, 1.0537, 1.161, 0.7316, 1.0537, 0.6879], q:[0.3976, 0.7634], qb:[0.4414, 0.505], phi:[0.4732]] | [X:[], M:[[-12], [4], [12], [-20], [4], [14]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_6$, $ M_1M_4$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_4M_5$, $ q_1^2\tilde{q}_2^2$, $ M_3M_6$, $ M_1M_2$, $ M_3M_4$, $ M_1M_5$, $ M_6q_2\tilde{q}_1$, $ M_6\phi_1q_1^2$, $ M_5q_1\tilde{q}_2$ | $M_4\phi_1q_1^2$ | -1 | t^2.06 + t^2.19 + t^2.52 + t^2.71 + 2*t^3.16 + t^3.48 + t^3.61 + t^3.81 + t^4.07 + 2*t^4.13 + 2*t^4.26 + t^4.39 + t^4.45 + t^4.58 + t^4.71 + t^4.77 + t^4.9 + t^5.03 + 3*t^5.22 + 2*t^5.36 + t^5.42 + t^5.55 + 3*t^5.68 + 2*t^5.87 - t^6. + t^6.13 + 2*t^6.19 + t^6.26 + 5*t^6.32 + t^6.45 + 2*t^6.51 + 2*t^6.58 + 3*t^6.64 + 3*t^6.78 + 2*t^6.83 + t^6.91 + 3*t^6.97 + t^7.16 + 2*t^7.23 + 4*t^7.29 + 2*t^7.42 + t^7.48 + 2*t^7.55 + 3*t^7.61 + t^7.68 + 3*t^7.74 + 2*t^7.87 + 4*t^7.93 - t^8.06 + t^8.12 + t^8.14 + 3*t^8.25 + t^8.33 + 4*t^8.39 + t^8.46 + 2*t^8.52 + 4*t^8.58 + 2*t^8.65 + 2*t^8.71 + 2*t^8.78 + 4*t^8.84 + 3*t^8.9 + t^8.97 - t^4.42/y - t^6.48/y - t^6.61/y + (2*t^7.26)/y + t^7.71/y + t^7.77/y + t^7.9/y + (4*t^8.22)/y + (3*t^8.36)/y + (3*t^8.68)/y + (3*t^8.87)/y - t^4.42*y - t^6.48*y - t^6.61*y + 2*t^7.26*y + t^7.71*y + t^7.77*y + t^7.9*y + 4*t^8.22*y + 3*t^8.36*y + 3*t^8.68*y + 3*t^8.87*y | g1^14*t^2.06 + t^2.19/g1^20 + t^2.52/g1^12 + g1^30*t^2.71 + 2*g1^4*t^3.16 + g1^12*t^3.48 + t^3.61/g1^22 + g1^20*t^3.81 + t^4.07/g1^48 + 2*g1^28*t^4.13 + (2*t^4.26)/g1^6 + t^4.39/g1^40 + g1^36*t^4.45 + g1^2*t^4.58 + t^4.71/g1^32 + g1^44*t^4.77 + g1^10*t^4.9 + t^5.03/g1^24 + 3*g1^18*t^5.22 + (2*t^5.36)/g1^16 + g1^60*t^5.42 + g1^26*t^5.55 + (3*t^5.68)/g1^8 + 2*g1^34*t^5.87 - t^6. + t^6.13/g1^34 + 2*g1^42*t^6.19 + t^6.26/g1^68 + 5*g1^8*t^6.32 + t^6.45/g1^26 + 2*g1^50*t^6.51 + (2*t^6.58)/g1^60 + 3*g1^16*t^6.64 + (3*t^6.78)/g1^18 + 2*g1^58*t^6.83 + t^6.91/g1^52 + 3*g1^24*t^6.97 + g1^66*t^7.16 + (2*t^7.23)/g1^44 + 4*g1^32*t^7.29 + (2*t^7.42)/g1^2 + g1^74*t^7.48 + (2*t^7.55)/g1^36 + 3*g1^40*t^7.61 + t^7.68/g1^70 + 3*g1^6*t^7.74 + (2*t^7.87)/g1^28 + 4*g1^48*t^7.93 - g1^14*t^8.06 + g1^90*t^8.12 + t^8.14/g1^96 + 3*g1^56*t^8.25 + t^8.33/g1^54 + 4*g1^22*t^8.39 + t^8.46/g1^88 + (2*t^8.52)/g1^12 + 4*g1^64*t^8.58 + (2*t^8.65)/g1^46 + 2*g1^30*t^8.71 + (2*t^8.78)/g1^80 + (4*t^8.84)/g1^4 + 3*g1^72*t^8.9 + t^8.97/g1^38 - t^4.42/(g1^2*y) - (g1^12*t^6.48)/y - t^6.61/(g1^22*y) + (2*t^7.26)/(g1^6*y) + t^7.71/(g1^32*y) + (g1^44*t^7.77)/y + (g1^10*t^7.9)/y + (4*g1^18*t^8.22)/y + (3*t^8.36)/(g1^16*y) + (3*t^8.68)/(g1^8*y) + (3*g1^34*t^8.87)/y - (t^4.42*y)/g1^2 - g1^12*t^6.48*y - (t^6.61*y)/g1^22 + (2*t^7.26*y)/g1^6 + (t^7.71*y)/g1^32 + g1^44*t^7.77*y + g1^10*t^7.9*y + 4*g1^18*t^8.22*y + (3*t^8.36*y)/g1^16 + (3*t^8.68*y)/g1^8 + 3*g1^34*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 3561 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ q_1^2\tilde{q}_2^2$ + $ M_4X_1$ | 0.6437 | 0.7978 | 0.8068 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 1.0667, 0.7333], q:[0.4333, 0.7667], qb:[0.3667, 0.5667], phi:[0.4667]] | t^2.2 + t^2.4 + t^3. + 2*t^3.2 + t^3.4 + 2*t^3.6 + 2*t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5.2 + 2*t^5.4 + 2*t^5.6 + 2*t^5.8 - t^4.4/y - t^4.4*y | detail | {a: 1931/3000, c: 4787/6000, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 16/15, M6: 11/15, q1: 13/30, q2: 23/30, qb1: 11/30, qb2: 17/30, phi1: 7/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1931 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ + $ \phi_1q_2^2$ | 0.6552 | 0.8131 | 0.8058 | [X:[], M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | t^2.19 + t^2.51 + t^2.71 + 2*t^3.16 + t^3.49 + t^3.61 + t^3.81 + t^3.93 + t^4.06 + t^4.13 + t^4.26 + t^4.38 + t^4.46 + t^4.7 + t^4.9 + t^5.03 + t^5.23 + 2*t^5.35 + t^5.43 + 2*t^5.68 + t^5.88 - t^6. - t^4.42/y - t^4.42*y | detail |