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 |
|---|---|---|---|---|---|---|---|---|---|
| 47237 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ | 0.6442 | 0.847 | 0.7605 | [X:[], M:[0.7366, 0.7187, 1.0, 0.7366, 1.0179], q:[0.7545, 0.5089], qb:[0.5268, 0.2455], phi:[0.4911]] | [X:[], M:[[3], [7], [0], [3], [-4]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ M_2M_4$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_1\phi_1\tilde{q}_2^2$, $ M_4\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_3M_4$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_2^3$, $ M_1M_5$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2\phi_1q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_2^4$, $ M_4\phi_1q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | $M_5\phi_1\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -1 | t^2.16 + 2*t^2.21 + t^2.26 + t^2.32 + t^2.95 + t^3. + t^3.05 + t^3.11 + t^3.74 + t^4.31 + 2*t^4.37 + 4*t^4.42 + 3*t^4.47 + 4*t^4.53 + 2*t^4.58 + 2*t^4.63 + t^5.1 + 2*t^5.16 + 3*t^5.21 + 5*t^5.26 + 4*t^5.32 + 2*t^5.37 + t^5.42 + 2*t^5.89 + t^5.95 - t^6. + t^6.05 + t^6.11 + t^6.16 + t^6.21 + t^6.47 + 2*t^6.52 + 4*t^6.58 + 6*t^6.63 + 6*t^6.68 + 7*t^6.74 + 5*t^6.79 + 5*t^6.84 + 2*t^6.9 + 2*t^6.95 + t^7.26 + 2*t^7.31 + 4*t^7.37 + 6*t^7.42 + 9*t^7.47 + 7*t^7.53 + 7*t^7.58 + 6*t^7.63 + 3*t^7.69 + 2*t^7.74 + 2*t^8.05 + 2*t^8.1 - t^8.16 - 3*t^8.21 - t^8.26 - t^8.32 + 3*t^8.37 + 3*t^8.42 + 2*t^8.48 + t^8.53 + t^8.62 + 2*t^8.68 + 4*t^8.73 + 6*t^8.79 + 11*t^8.84 + 8*t^8.89 + 8*t^8.95 - t^4.47/y - t^6.63/y - (2*t^6.68)/y + (2*t^7.37)/y + (2*t^7.42)/y + (3*t^7.47)/y + (2*t^7.53)/y + t^7.58/y + t^8.1/y + (3*t^8.16)/y + (4*t^8.21)/y + (7*t^8.26)/y + (5*t^8.32)/y + (2*t^8.37)/y + t^8.42/y - t^8.79/y - (2*t^8.84)/y - (2*t^8.89)/y + (3*t^8.95)/y - t^4.47*y - t^6.63*y - 2*t^6.68*y + 2*t^7.37*y + 2*t^7.42*y + 3*t^7.47*y + 2*t^7.53*y + t^7.58*y + t^8.1*y + 3*t^8.16*y + 4*t^8.21*y + 7*t^8.26*y + 5*t^8.32*y + 2*t^8.37*y + t^8.42*y - t^8.79*y - 2*t^8.84*y - 2*t^8.89*y + 3*t^8.95*y | g1^7*t^2.16 + 2*g1^3*t^2.21 + t^2.26/g1 + t^2.32/g1^5 + g1^4*t^2.95 + t^3. + t^3.05/g1^4 + t^3.11/g1^8 + g1*t^3.74 + g1^14*t^4.31 + 2*g1^10*t^4.37 + 4*g1^6*t^4.42 + 3*g1^2*t^4.47 + (4*t^4.53)/g1^2 + (2*t^4.58)/g1^6 + (2*t^4.63)/g1^10 + g1^11*t^5.1 + 2*g1^7*t^5.16 + 3*g1^3*t^5.21 + (5*t^5.26)/g1 + (4*t^5.32)/g1^5 + (2*t^5.37)/g1^9 + t^5.42/g1^13 + 2*g1^8*t^5.89 + g1^4*t^5.95 - t^6. + t^6.05/g1^4 + t^6.11/g1^8 + t^6.16/g1^12 + t^6.21/g1^16 + g1^21*t^6.47 + 2*g1^17*t^6.52 + 4*g1^13*t^6.58 + 6*g1^9*t^6.63 + 6*g1^5*t^6.68 + 7*g1*t^6.74 + (5*t^6.79)/g1^3 + (5*t^6.84)/g1^7 + (2*t^6.9)/g1^11 + (2*t^6.95)/g1^15 + g1^18*t^7.26 + 2*g1^14*t^7.31 + 4*g1^10*t^7.37 + 6*g1^6*t^7.42 + 9*g1^2*t^7.47 + (7*t^7.53)/g1^2 + (7*t^7.58)/g1^6 + (6*t^7.63)/g1^10 + (3*t^7.69)/g1^14 + (2*t^7.74)/g1^18 + 2*g1^15*t^8.05 + 2*g1^11*t^8.1 - g1^7*t^8.16 - 3*g1^3*t^8.21 - t^8.26/g1 - t^8.32/g1^5 + (3*t^8.37)/g1^9 + (3*t^8.42)/g1^13 + (2*t^8.48)/g1^17 + t^8.53/g1^21 + g1^28*t^8.62 + 2*g1^24*t^8.68 + 4*g1^20*t^8.73 + 6*g1^16*t^8.79 + 11*g1^12*t^8.84 + 8*g1^8*t^8.89 + 8*g1^4*t^8.95 - (g1^2*t^4.47)/y - (g1^9*t^6.63)/y - (2*g1^5*t^6.68)/y + (2*g1^10*t^7.37)/y + (2*g1^6*t^7.42)/y + (3*g1^2*t^7.47)/y + (2*t^7.53)/(g1^2*y) + t^7.58/(g1^6*y) + (g1^11*t^8.1)/y + (3*g1^7*t^8.16)/y + (4*g1^3*t^8.21)/y + (7*t^8.26)/(g1*y) + (5*t^8.32)/(g1^5*y) + (2*t^8.37)/(g1^9*y) + t^8.42/(g1^13*y) - (g1^16*t^8.79)/y - (2*g1^12*t^8.84)/y - (2*g1^8*t^8.89)/y + (3*g1^4*t^8.95)/y - g1^2*t^4.47*y - g1^9*t^6.63*y - 2*g1^5*t^6.68*y + 2*g1^10*t^7.37*y + 2*g1^6*t^7.42*y + 3*g1^2*t^7.47*y + (2*t^7.53*y)/g1^2 + (t^7.58*y)/g1^6 + g1^11*t^8.1*y + 3*g1^7*t^8.16*y + 4*g1^3*t^8.21*y + (7*t^8.26*y)/g1 + (5*t^8.32*y)/g1^5 + (2*t^8.37*y)/g1^9 + (t^8.42*y)/g1^13 - g1^16*t^8.79*y - 2*g1^12*t^8.84*y - 2*g1^8*t^8.89*y + 3*g1^4*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 55518 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.6123 | 0.7902 | 0.7749 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 0.6923, 1.0769], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | 2*t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + 4*t^4.15 + 2*t^4.38 + 4*t^4.62 + 3*t^4.85 + 4*t^5.08 + 4*t^5.31 + 5*t^5.54 + 3*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 21525/35152, c: 13889/17576, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 9/13, M5: 14/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46643 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6465 | 0.8511 | 0.7596 | [X:[], M:[0.7263, 0.6947, 1.0, 0.7263], q:[0.7579, 0.5158], qb:[0.5474, 0.2421], phi:[0.4842]] | t^2.08 + 2*t^2.18 + t^2.27 + t^2.37 + 2*t^2.91 + t^3. + t^3.19 + t^3.73 + t^4.17 + 2*t^4.26 + 4*t^4.36 + 3*t^4.45 + 4*t^4.55 + 2*t^4.64 + 2*t^4.74 + 2*t^4.99 + 4*t^5.08 + 3*t^5.18 + 4*t^5.27 + 3*t^5.37 + t^5.46 + t^5.56 + 4*t^5.81 + 2*t^5.91 - 2*t^6. - t^4.45/y - t^4.45*y | detail |