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 |
|---|---|---|---|---|---|---|---|---|---|
| 45360 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_1M_4$ | 1.8182 | 1.9685 | 0.9236 | [X:[], M:[1.2, 0.8, 0.7943, 0.8], q:[0.4057, 0.3943], qb:[], phi:[0.4]] | [X:[], M:[[0], [0], [1], [0]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2^2$, $ M_3$, $ M_2$, $ M_4$, $ \phi_1^2$, $ q_1^2$, $ \phi_1^2q_2$, $ q_2^4$, $ M_3q_2^2$, $ M_3^2$, $ M_2q_2^2$, $ M_4q_2^2$, $ \phi_1^2q_2^2$, $ M_2M_3$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ \phi_1^2q_1q_2$, $ q_1^2q_2^2$, $ M_3q_1^2$, $ M_2q_1^2$, $ M_4q_1^2$, $ \phi_1^2q_1^2$, $ q_1^4$, $ \phi_1^2q_2^3$, $ M_2\phi_1^2q_2$, $ M_4\phi_1^2q_2$, $ \phi_1^4q_2$ | $\phi_1^3q_1q_2$ | -1 | t^2.37 + t^2.38 + 3*t^2.4 + t^2.43 + t^3.58 + t^4.73 + t^4.75 + 5*t^4.77 + 3*t^4.78 + 9*t^4.8 + t^4.82 + 4*t^4.83 + t^4.87 + t^5.95 + 3*t^5.98 - t^6. + t^6.02 - t^6.03 + t^7.1 + t^7.11 + 5*t^7.13 + 5*t^7.15 + 15*t^7.17 + 8*t^7.18 + 20*t^7.2 + 3*t^7.22 + 11*t^7.23 + t^7.25 + 4*t^7.27 + t^7.3 + t^8.31 + 4*t^8.35 - 3*t^8.37 + 7*t^8.38 - 6*t^8.4 + 2*t^8.42 - 6*t^8.43 + t^8.45 - t^8.47 - t^4.2/y - t^5.38/y - t^5.42/y - t^6.57/y - t^6.58/y - (4*t^6.6)/y - t^6.63/y + (2*t^7.77)/y - (2*t^7.78)/y + (4*t^7.8)/y - (3*t^7.82)/y + (3*t^7.83)/y - t^7.85/y - t^8.93/y - (5*t^8.97)/y + t^8.98/y - t^4.2*y - t^5.38*y - t^5.42*y - t^6.57*y - t^6.58*y - 4*t^6.6*y - t^6.63*y + 2*t^7.77*y - 2*t^7.78*y + 4*t^7.8*y - 3*t^7.82*y + 3*t^7.83*y - t^7.85*y - t^8.93*y - 5*t^8.97*y + t^8.98*y | g1^2*t^2.37 + g1*t^2.38 + 3*t^2.4 + t^2.43/g1^2 + g1*t^3.58 + g1^4*t^4.73 + g1^3*t^4.75 + 5*g1^2*t^4.77 + 3*g1*t^4.78 + 9*t^4.8 + t^4.82/g1 + (4*t^4.83)/g1^2 + t^4.87/g1^4 + g1^3*t^5.95 + 3*g1*t^5.98 - t^6. + t^6.02/g1 - t^6.03/g1^2 + g1^6*t^7.1 + g1^5*t^7.11 + 5*g1^4*t^7.13 + 5*g1^3*t^7.15 + 15*g1^2*t^7.17 + 8*g1*t^7.18 + 20*t^7.2 + (3*t^7.22)/g1 + (11*t^7.23)/g1^2 + t^7.25/g1^3 + (4*t^7.27)/g1^4 + t^7.3/g1^6 + g1^5*t^8.31 + 4*g1^3*t^8.35 - 3*g1^2*t^8.37 + 7*g1*t^8.38 - 6*t^8.4 + (2*t^8.42)/g1 - (6*t^8.43)/g1^2 + t^8.45/g1^3 - t^8.47/g1^4 - t^4.2/y - (g1*t^5.38)/y - t^5.42/(g1*y) - (g1^2*t^6.57)/y - (g1*t^6.58)/y - (4*t^6.6)/y - t^6.63/(g1^2*y) + (2*g1^2*t^7.77)/y - (2*g1*t^7.78)/y + (4*t^7.8)/y - (3*t^7.82)/(g1*y) + (3*t^7.83)/(g1^2*y) - t^7.85/(g1^3*y) - (g1^4*t^8.93)/y - (5*g1^2*t^8.97)/y + (g1*t^8.98)/y - t^4.2*y - g1*t^5.38*y - (t^5.42*y)/g1 - g1^2*t^6.57*y - g1*t^6.58*y - 4*t^6.6*y - (t^6.63*y)/g1^2 + 2*g1^2*t^7.77*y - 2*g1*t^7.78*y + 4*t^7.8*y - (3*t^7.82*y)/g1 + (3*t^7.83*y)/g1^2 - (t^7.85*y)/g1^3 - g1^4*t^8.93*y - 5*g1^2*t^8.97*y + g1*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 45506 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_1M_4$ + $ M_3q_2^2$ + $ q_1^2X_1$ | 1.7025 | 1.815 | 0.938 | [X:[1.4667], M:[1.2, 0.8, 0.9333, 0.8], q:[0.2667, 0.5333], qb:[], phi:[0.4]] | 3*t^2.4 + t^2.8 + t^3.2 + 2*t^4. + t^4.4 + 8*t^4.8 + 2*t^5.2 + 5*t^5.6 - t^4.2/y - t^5./y - t^5.8/y - t^4.2*y - t^5.*y - t^5.8*y | detail | {a: 681/400, c: 363/200, X1: 22/15, M1: 6/5, M2: 4/5, M3: 14/15, M4: 4/5, q1: 4/15, q2: 8/15, phi1: 2/5} |
| 45441 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_1M_4$ + $ q_1^4$ + $ q_2^2X_1$ | 1.7519 | 1.8832 | 0.9303 | [X:[1.4], M:[1.2, 0.8, 0.7, 0.8], q:[0.5, 0.3], qb:[], phi:[0.4]] | t^2.1 + 3*t^2.4 + t^3. + t^3.3 + 3*t^4.2 + 3*t^4.5 + 8*t^4.8 + t^5.1 + 4*t^5.4 + 3*t^5.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 56061/32000, c: 60261/32000, X1: 7/5, M1: 6/5, M2: 4/5, M3: 7/10, M4: 4/5, q1: 1/2, q2: 3/10, phi1: 2/5} |
| 45464 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ + $ M_1M_4$ + $ q_2^4$ + $ q_1^2X_1$ | 1.7405 | 1.8592 | 0.9361 | [X:[1.4], M:[1.2, 0.8, 0.9, 0.8], q:[0.3, 0.5], qb:[], phi:[0.4]] | 3*t^2.4 + t^2.7 + t^3. + t^3.9 + 2*t^4.2 + 8*t^4.8 + 3*t^5.1 + 4*t^5.4 + t^5.7 - t^4.2/y - t^5.1/y - t^5.7/y - t^4.2*y - t^5.1*y - t^5.7*y | detail | {a: 11139/6400, c: 11899/6400, X1: 7/5, M1: 6/5, M2: 4/5, M3: 9/10, M4: 4/5, q1: 3/10, q2: 1/2, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45212 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ + $ M_3\phi_1^2q_1$ + $ M_1M_2$ | 1.8017 | 1.9395 | 0.9289 | [X:[], M:[1.2, 0.8, 0.7943], q:[0.4057, 0.3943], qb:[], phi:[0.4]] | t^2.37 + t^2.38 + 2*t^2.4 + t^2.43 + t^3.58 + t^3.6 + t^4.73 + t^4.75 + 4*t^4.77 + 2*t^4.78 + 6*t^4.8 + t^4.82 + 3*t^4.83 + t^4.87 + t^5.95 + t^5.97 + 3*t^5.98 + t^6. - t^4.2/y - t^5.38/y - t^5.42/y - t^4.2*y - t^5.38*y - t^5.42*y | detail |