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 |
|---|---|---|---|---|---|---|---|---|---|
| 835 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ | 0.6954 | 0.8497 | 0.8184 | [X:[], M:[0.978, 1.0207, 0.9805, 0.9586, 1.0, 1.0414], q:[0.5524, 0.4696], qb:[0.489, 0.5304], phi:[0.4896]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [4, -4], [0, 0], [-4, 4]], q:[[-8, 4], [0, -4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ M_5$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_3^2$, $ M_1M_3$, $ M_4M_5$, $ M_2M_4$ | $M_1M_2$, $ M_2M_3$ | 0 | t^2.88 + t^2.93 + t^2.94 + t^3. + t^3.06 + t^3.12 + t^3.25 + t^4.29 + t^4.34 + t^4.4 + t^4.47 + 2*t^4.53 + t^4.59 + t^4.65 + t^4.72 + t^4.78 + t^5.87 + 2*t^5.88 + t^5.94 + t^6.06 + t^6.12 + t^6.19 + t^6.25 + t^6.31 + t^6.37 + t^6.5 + t^7.16 + t^7.22 + t^7.23 + t^7.28 + t^7.29 + 2*t^7.34 + t^7.4 + t^7.41 + t^7.46 + t^7.47 + t^7.48 + 3*t^7.53 + 2*t^7.59 + 2*t^7.65 + t^7.66 + 2*t^7.72 + t^7.73 + 2*t^7.78 + t^7.84 + t^7.9 + t^7.91 + t^7.97 + t^8.03 + t^8.57 + t^8.63 + t^8.76 + t^8.8 + 2*t^8.81 + 2*t^8.82 + t^8.87 - 2*t^8.88 - 2*t^8.93 + t^8.95 - t^4.47/y - t^7.4/y - t^7.41/y + (2*t^7.53)/y + t^8.81/y + t^8.82/y + (2*t^8.88)/y + t^8.93/y + (2*t^8.94)/y - t^4.47*y - t^7.4*y - t^7.41*y + 2*t^7.53*y + t^8.81*y + t^8.82*y + 2*t^8.88*y + t^8.93*y + 2*t^8.94*y | (g1^4*t^2.88)/g2^4 + g1^8*t^2.93 + t^2.94/(g1^4*g2^4) + t^3. + (g2^2*t^3.06)/g1^2 + (g2^4*t^3.12)/g1^4 + (g2^8*t^3.25)/g1^8 + (g1*t^4.29)/g2^9 + (g1^5*t^4.34)/g2^5 + (g1^9*t^4.4)/g2 + (g1*t^4.47)/g2 + t^4.53/(g1^7*g2) + g1^5*g2^3*t^4.53 + (g2^3*t^4.59)/g1^3 + g1*g2^7*t^4.65 + (g2^7*t^4.72)/g1^7 + (g2^7*t^4.78)/g1^15 + g1^16*t^5.87 + t^5.88/(g1^8*g2^8) + (g1^4*t^5.88)/g2^4 + (g1^2*t^5.94)/g2^2 - 2*t^6. + t^6./(g1^6*g2^2) + g1^6*g2^2*t^6. + (g2^2*t^6.06)/g1^2 + (g2^4*t^6.12)/g1^4 + (g2^6*t^6.19)/g1^6 + (g2^8*t^6.25)/g1^8 + (g2^10*t^6.31)/g1^10 + (g2^12*t^6.37)/g1^12 + (g2^16*t^6.5)/g1^16 + (g1^5*t^7.16)/g2^13 + (g1^9*t^7.22)/g2^9 + t^7.23/(g1^3*g2^13) + (g1^13*t^7.28)/g2^5 + (g1*t^7.29)/g2^9 + (g1^5*t^7.34)/g2^5 + (g1^17*t^7.34)/g2 + (g1^9*t^7.4)/g2 + t^7.41/(g1^3*g2^5) + g1^13*g2^3*t^7.46 + (g1*t^7.47)/g2 + t^7.48/(g1^11*g2^5) + t^7.53/(g1^7*g2) + 2*g1^5*g2^3*t^7.53 + (g2^3*t^7.59)/g1^3 + g1^9*g2^7*t^7.59 + 2*g1*g2^7*t^7.65 + (g2^3*t^7.66)/g1^11 + (2*g2^7*t^7.72)/g1^7 + (g2^3*t^7.73)/g1^19 + (g2^7*t^7.78)/g1^15 + (g2^11*t^7.78)/g1^3 + (g2^11*t^7.84)/g1^11 + (g2^15*t^7.9)/g1^7 + (g2^11*t^7.91)/g1^19 + (g2^15*t^7.97)/g1^15 + (g2^15*t^8.03)/g1^23 + (g1^2*t^8.57)/g2^18 + (g1^6*t^8.63)/g2^14 - (g1^4*t^8.69)/g2^12 + (g1^10*t^8.69)/g2^10 - (g1^8*t^8.75)/g2^8 + (g1^14*t^8.75)/g2^6 + (g1^2*t^8.76)/g2^10 + g1^24*t^8.8 + (g1^6*t^8.81)/g2^6 + (g1^18*t^8.81)/g2^2 + t^8.82/(g1^12*g2^12) + t^8.82/(g1^6*g2^10) + (g1^10*t^8.87)/g2^2 + t^8.88/(g1^2*g2^6) - (3*g1^4*t^8.88)/g2^4 - 4*g1^8*t^8.93 + 2*g1^14*g2^2*t^8.93 - (3*t^8.94)/(g1^4*g2^4) + (3*g1^2*t^8.94)/g2^2 + t^8.95/(g1^10*g2^6) - (g1*t^4.47)/(g2*y) - (g1^9*t^7.4)/(g2*y) - t^7.41/(g1^3*g2^5*y) + t^7.53/(g1^7*g2*y) + (g1^5*g2^3*t^7.53)/y + (g1^12*t^8.81)/(g2^4*y) + t^8.82/(g2^8*y) + (2*g1^4*t^8.88)/(g2^4*y) + (g1^8*t^8.93)/y + t^8.94/(g1^4*g2^4*y) + (g1^2*t^8.94)/(g2^2*y) - (g1*t^4.47*y)/g2 - (g1^9*t^7.4*y)/g2 - (t^7.41*y)/(g1^3*g2^5) + (t^7.53*y)/(g1^7*g2) + g1^5*g2^3*t^7.53*y + (g1^12*t^8.81*y)/g2^4 + (t^8.82*y)/g2^8 + (2*g1^4*t^8.88*y)/g2^4 + g1^8*t^8.93*y + (t^8.94*y)/(g1^4*g2^4) + (g1^2*t^8.94*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1326 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_1M_7$ | 0.6962 | 0.8534 | 0.8158 | [X:[], M:[1.0383, 1.0151, 0.9316, 0.9699, 1.0, 1.0301, 0.9617], q:[0.511, 0.4507], qb:[0.5191, 0.5493], phi:[0.4925]] | t^2.79 + t^2.89 + t^2.91 + t^3. + t^3.05 + t^3.09 + t^3.18 + t^4.18 + t^4.36 + t^4.39 + t^4.48 + t^4.54 + t^4.57 + t^4.59 + t^4.66 + t^4.68 + t^4.77 + t^5.59 + t^5.68 + t^5.77 + t^5.79 + t^5.84 + t^5.89 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 1327 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_3M_7$ | 0.6963 | 0.8535 | 0.8158 | [X:[], M:[0.9293, 1.016, 1.0387, 0.968, 1.0, 1.032, 0.9613], q:[0.5673, 0.5034], qb:[0.4647, 0.4966], phi:[0.492]] | t^2.79 + t^2.88 + t^2.9 + t^3. + t^3.05 + t^3.1 + t^3.19 + t^4.26 + t^4.36 + t^4.38 + t^4.46 + t^4.48 + t^4.5 + t^4.57 + t^4.67 + t^4.69 + t^4.88 + t^5.58 + t^5.67 + t^5.77 + t^5.79 + t^5.84 + t^5.88 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 1330 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ M_6M_7$ | 0.7002 | 0.8574 | 0.8166 | [X:[], M:[0.9664, 1.0309, 0.9719, 0.9383, 1.0, 1.0617, 0.9383], q:[0.5785, 0.4551], qb:[0.4832, 0.5449], phi:[0.4846]] | 2*t^2.81 + t^2.9 + t^2.92 + t^3. + t^3.09 + t^3.37 + t^4.18 + t^4.27 + t^4.35 + t^4.45 + t^4.54 + t^4.55 + t^4.64 + t^4.72 + t^4.82 + t^4.92 + 2*t^5.63 + t^5.71 + t^5.73 + t^5.8 + 2*t^5.81 + t^5.83 + 2*t^5.91 + t^5.99 - 3*t^6. - t^4.45/y - t^4.45*y | detail | |
| 2016 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5^2$ + $ \phi_1q_1\tilde{q}_2$ | 0.5778 | 0.7207 | 0.8018 | [X:[], M:[0.8036, 1.1429, 0.9107, 0.7143, 1.0, 1.2857], q:[0.8839, 0.3125], qb:[0.4018, 0.6875], phi:[0.4286]] | t^2.14 + t^2.41 + t^2.73 + t^3. + t^3.16 + 2*t^3.43 + t^3.7 + t^3.86 + t^4.29 + t^4.55 + t^4.71 + t^4.82 + t^4.88 + 2*t^5.14 + t^5.3 + t^5.41 + t^5.46 + 2*t^5.57 + 2*t^5.84 + t^5.89 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 50739/87808, c: 63283/87808, M1: 45/56, M2: 8/7, M3: 51/56, M4: 5/7, M5: 1, M6: 9/7, q1: 99/112, q2: 5/16, qb1: 45/112, qb2: 11/16, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 535 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ | 0.7203 | 0.8807 | 0.8179 | [X:[], M:[0.9121, 1.0959, 0.896, 1.0183, 0.7898, 0.9817], q:[0.5256, 0.5623], qb:[0.4561, 0.648], phi:[0.452]] | t^2.37 + t^2.69 + t^2.74 + t^2.94 + t^3.06 + t^3.29 + t^3.52 + t^4.09 + t^4.3 + t^4.41 + t^4.51 + t^4.62 + t^4.67 + t^4.73 + t^4.74 + t^4.88 + t^4.99 + t^5.06 + t^5.11 + t^5.24 + t^5.31 + t^5.38 + t^5.42 + t^5.47 + t^5.66 + t^5.89 + t^5.98 - 3*t^6. - t^4.36/y - t^4.36*y | detail |