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 |
|---|---|---|---|---|---|---|---|---|---|
| 581 | 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$ + $ \phi_1^2q_1\tilde{q}_2$ | 0.6975 | 0.8554 | 0.8154 | [X:[], M:[0.9459, 1.018, 1.0541, 0.9098], q:[0.491, 0.5631], qb:[0.4549, 0.5271], phi:[0.491]] | [X:[], M:[[-6], [2], [6], [-10]], q:[[-1], [7]], qb:[[-5], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_1^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$ | $\phi_1^2q_2\tilde{q}_1$ | 0 | t^2.73 + t^2.84 + t^2.95 + 3*t^3.05 + t^3.16 + t^4.2 + t^4.31 + 2*t^4.42 + 2*t^4.53 + 2*t^4.64 + t^4.74 + t^4.85 + t^5.46 + t^5.57 + t^5.68 + 2*t^5.78 + 2*t^5.89 + 3*t^6.11 + t^6.22 + t^6.93 + 2*t^7.04 + 3*t^7.15 + 4*t^7.26 + 4*t^7.36 + 4*t^7.47 + 4*t^7.58 + 3*t^7.69 + 2*t^7.8 + 2*t^7.91 + t^8.01 + t^8.19 + t^8.3 + 2*t^8.4 + 3*t^8.51 + 3*t^8.62 + t^8.73 + t^8.84 - t^4.47/y - t^7.2/y + t^7.74/y + t^8.57/y + t^8.68/y + (4*t^8.78)/y + (4*t^8.89)/y - t^4.47*y - t^7.2*y + t^7.74*y + t^8.57*y + t^8.68*y + 4*t^8.78*y + 4*t^8.89*y | t^2.73/g1^10 + t^2.84/g1^6 + t^2.95/g1^2 + 3*g1^2*t^3.05 + g1^6*t^3.16 + t^4.2/g1^11 + t^4.31/g1^7 + (2*t^4.42)/g1^3 + 2*g1*t^4.53 + 2*g1^5*t^4.64 + g1^9*t^4.74 + g1^13*t^4.85 + t^5.46/g1^20 + t^5.57/g1^16 + t^5.68/g1^12 + (2*t^5.78)/g1^8 + (2*t^5.89)/g1^4 + 3*g1^4*t^6.11 + g1^8*t^6.22 + t^6.93/g1^21 + (2*t^7.04)/g1^17 + (3*t^7.15)/g1^13 + (4*t^7.26)/g1^9 + (4*t^7.36)/g1^5 + (4*t^7.47)/g1 + 4*g1^3*t^7.58 + 3*g1^7*t^7.69 + 2*g1^11*t^7.8 + 2*g1^15*t^7.91 + g1^19*t^8.01 + t^8.19/g1^30 + t^8.3/g1^26 + (2*t^8.4)/g1^22 + (3*t^8.51)/g1^18 + (3*t^8.62)/g1^14 + t^8.73/g1^10 + t^8.84/g1^6 - t^4.47/(g1*y) - t^7.2/(g1^11*y) + (g1^9*t^7.74)/y + t^8.57/(g1^16*y) + t^8.68/(g1^12*y) + (4*t^8.78)/(g1^8*y) + (4*t^8.89)/(g1^4*y) - (t^4.47*y)/g1 - (t^7.2*y)/g1^11 + g1^9*t^7.74*y + (t^8.57*y)/g1^16 + (t^8.68*y)/g1^12 + (4*t^8.78*y)/g1^8 + (4*t^8.89*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 904 | $M_1q_1q_2$ + $ 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$ + $ \phi_1^2q_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6959 | 0.8526 | 0.8162 | [X:[], M:[0.9533, 1.0156, 1.0467, 0.9222, 1.0156], q:[0.4922, 0.5545], qb:[0.4611, 0.5233], phi:[0.4922]] | t^2.77 + t^2.86 + 4*t^3.05 + t^3.14 + t^4.24 + t^4.34 + 2*t^4.43 + 2*t^4.52 + 2*t^4.62 + t^4.71 + t^4.8 + t^5.53 + t^5.63 + 2*t^5.81 + 2*t^5.91 - 3*t^6. - t^4.48/y - t^4.48*y | detail | |
| 1922 | $M_1q_1q_2$ + $ 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$ + $ \phi_1^2q_1\tilde{q}_2$ + $ \phi_1q_2^2$ + $ M_4X_1$ | 0.6079 | 0.7473 | 0.8134 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], phi:[0.4615]] | t^2.31 + t^2.77 + 4*t^3.23 + 2*t^3.69 + 3*t^4.15 + 2*t^4.62 + t^5.08 + 3*t^5.54 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 21369/35152, c: 13135/17576, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, q1: 6/13, q2: 10/13, qb1: 4/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 366 | 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$ | 0.6975 | 0.8554 | 0.8154 | [X:[], M:[0.9458, 1.0181, 1.0542, 0.9096], q:[0.4896, 0.5646], qb:[0.4562, 0.5258], phi:[0.491]] | t^2.73 + t^2.84 + t^2.95 + 2*t^3.05 + t^3.06 + t^3.16 + t^4.21 + t^4.31 + t^4.41 + t^4.42 + t^4.52 + t^4.54 + t^4.63 + t^4.64 + t^4.74 + t^4.86 + t^5.46 + t^5.57 + t^5.67 + 2*t^5.78 + 2*t^5.89 + t^5.99 - 2*t^6. - t^4.47/y - t^4.47*y | detail |