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 |
|---|---|---|---|---|---|---|---|---|---|
| 271 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ | 0.6765 | 0.812 | 0.8331 | [X:[], M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | [X:[], M:[[0], [-14], [0]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | $M_1M_3$ | -2 | t^2.49 + t^2.73 + 2*t^3. + t^3.74 + t^3.98 + 2*t^4.01 + 2*t^4.25 + 3*t^4.52 + t^4.99 + t^5.22 + t^5.46 + 2*t^5.49 - 2*t^6. - 2*t^6.27 + 2*t^6.47 + t^6.71 + 4*t^6.74 + 2*t^6.98 + 5*t^7.01 + 2*t^7.25 + t^7.48 + 2*t^7.52 + 2*t^7.72 + 2*t^7.95 + 4*t^7.99 + t^8.19 + 2*t^8.22 + 3*t^8.26 + 4*t^8.53 - 3*t^8.73 + t^8.96 - t^4.25/y - t^6.74/y - t^6.98/y + t^7.52/y + t^7.75/y + t^8.22/y + (2*t^8.49)/y + (2*t^8.73)/y - t^4.25*y - t^6.74*y - t^6.98*y + t^7.52*y + t^7.75*y + t^8.22*y + 2*t^8.49*y + 2*t^8.73*y | t^2.49/g1^4 + t^2.73/g1^14 + 2*t^3. + t^3.74/g1^6 + t^3.98/g1^16 + 2*g1^8*t^4.01 + (2*t^4.25)/g1^2 + 3*g1^12*t^4.52 + t^4.99/g1^8 + t^5.22/g1^18 + t^5.46/g1^28 + (2*t^5.49)/g1^4 - 2*t^6. - 2*g1^14*t^6.27 + (2*t^6.47)/g1^20 + t^6.71/g1^30 + (4*t^6.74)/g1^6 + (2*t^6.98)/g1^16 + 5*g1^8*t^7.01 + (2*t^7.25)/g1^2 + t^7.48/g1^12 + 2*g1^12*t^7.52 + (2*t^7.72)/g1^22 + (2*t^7.95)/g1^32 + (4*t^7.99)/g1^8 + t^8.19/g1^42 + (2*t^8.22)/g1^18 + 3*g1^6*t^8.26 + 4*g1^20*t^8.53 - (3*t^8.73)/g1^14 + t^8.96/g1^24 - t^4.25/(g1^2*y) - t^6.74/(g1^6*y) - t^6.98/(g1^16*y) + (g1^12*t^7.52)/y + (g1^2*t^7.75)/y + t^8.22/(g1^18*y) + (2*t^8.49)/(g1^4*y) + (2*t^8.73)/(g1^14*y) - (t^4.25*y)/g1^2 - (t^6.74*y)/g1^6 - (t^6.98*y)/g1^16 + g1^12*t^7.52*y + g1^2*t^7.75*y + (t^8.22*y)/g1^18 + (2*t^8.49*y)/g1^4 + (2*t^8.73*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 443 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_2^2$ | 0.6707 | 0.8047 | 0.8336 | [X:[], M:[1.0, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | t^2.57 + 3*t^3. + 3*t^3.86 + 6*t^4.29 + t^5.14 + 3*t^5.57 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 3681/5488, c: 276/343, M1: 1, M2: 1, M3: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
| 440 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6973 | 0.8533 | 0.8172 | [X:[], M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | t^2.02 + t^2.5 + t^2.74 + 2*t^3. + t^3.74 + 2*t^4.01 + t^4.03 + 2*t^4.25 + 4*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + t^5.47 + 2*t^5.5 + t^5.76 - 2*t^6. - t^4.25/y - t^4.25*y | detail | |
| 439 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_4q_1\tilde{q}_1$ | 0.6955 | 0.8466 | 0.8215 | [X:[], M:[1.0, 0.9217, 1.0, 0.7479], q:[0.7913, 0.5392], qb:[0.4608, 0.5392], phi:[0.4174]] | t^2.24 + t^2.5 + t^2.76 + 2*t^3. + 2*t^3.99 + t^4.02 + 2*t^4.25 + 4*t^4.49 + t^4.75 + 2*t^5.01 + 2*t^5.24 + t^5.27 + 2*t^5.5 + t^5.53 - 2*t^6. - t^4.25/y - t^4.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 172 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.6869 | 0.8254 | 0.8322 | [X:[], M:[1.0, 0.8713, 0.8713], q:[0.8041, 0.5], qb:[0.5, 0.6287], phi:[0.3918]] | t^2.35 + 2*t^2.61 + t^3. + 2*t^3.91 + 3*t^4.18 + t^4.3 + 2*t^4.56 + t^4.7 + t^4.95 + 2*t^4.96 + 3*t^5.23 + t^5.35 - 4*t^6. - t^4.18/y - t^4.18*y | detail |