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 |
|---|---|---|---|---|---|---|---|---|---|
| 320 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ | 0.7556 | 0.9204 | 0.821 | [X:[], M:[0.7942, 1.2058, 0.7942, 0.7942, 0.7604], q:[0.586, 0.6198], qb:[0.6198, 0.586], phi:[0.3971]] | [X:[], M:[[0, -2, -2], [0, 2, 2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0]], q:[[-1, 2, 2], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, -1, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_3M_5$, $ M_1M_5$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$, $ M_3M_4$, $ M_1M_4$, $ \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_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_2M_5$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_1M_2$, $ M_2M_3$, $ M_2M_4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$ | -2 | t^2.28 + 3*t^2.38 + t^3.52 + 2*t^3.62 + t^4.56 + 3*t^4.66 + 3*t^4.71 + 6*t^4.77 + 4*t^4.81 + 3*t^4.91 + t^5.8 + t^5.9 - 2*t^6. - 4*t^6.1 + t^6.84 + 3*t^6.94 + 3*t^6.99 + t^7.03 + 6*t^7.05 + 9*t^7.09 + 2*t^7.13 + 10*t^7.15 + 8*t^7.19 + 2*t^7.23 + 5*t^7.29 + t^8.08 + t^8.18 + 3*t^8.22 - 5*t^8.28 + 3*t^8.32 - 12*t^8.38 - 9*t^8.48 - t^8.53 - t^4.19/y - t^6.47/y - (3*t^6.57)/y + (3*t^7.66)/y + (3*t^7.77)/y + (3*t^7.81)/y + t^7.91/y - t^8.75/y + t^8.8/y - (3*t^8.85)/y + (5*t^8.9)/y - (6*t^8.96)/y - t^4.19*y - t^6.47*y - 3*t^6.57*y + 3*t^7.66*y + 3*t^7.77*y + 3*t^7.81*y + t^7.91*y - t^8.75*y + t^8.8*y - 3*t^8.85*y + 5*t^8.9*y - 6*t^8.96*y | t^2.28/(g1*g2^2) + t^2.38/(g1*g3^2) + (g1*t^2.38)/(g2^4*g3^2) + t^2.38/(g2^2*g3^2) + (g2^2*g3^4*t^3.52)/g1 + 2*g2^2*g3^2*t^3.62 + t^4.56/(g1^2*g2^4) + t^4.66/(g2^6*g3^2) + t^4.66/(g1*g2^4*g3^2) + t^4.66/(g1^2*g2^2*g3^2) + (g3^3*t^4.71)/g2 + (g2*g3^3*t^4.71)/g1 + (g2^3*g3^3*t^4.71)/g1^2 + t^4.77/(g1^2*g3^4) + (g1^2*t^4.77)/(g2^8*g3^4) + (g1*t^4.77)/(g2^6*g3^4) + (2*t^4.77)/(g2^4*g3^4) + t^4.77/(g1*g2^2*g3^4) + (g1*g3*t^4.81)/g2 + 2*g2*g3*t^4.81 + (g2^3*g3*t^4.81)/g1 + (g1^2*t^4.91)/(g2*g3) + (g1*g2*t^4.91)/g3 + (g2^3*t^4.91)/g3 + (g3^4*t^5.8)/g1^2 + (g3^2*t^5.9)/g1 - 2*t^6. - (2*g1*t^6.1)/g3^2 - (g1^2*t^6.1)/(g2^2*g3^2) - (g2^2*t^6.1)/g3^2 + t^6.84/(g1^3*g2^6) + t^6.94/(g1*g2^8*g3^2) + t^6.94/(g1^2*g2^6*g3^2) + t^6.94/(g1^3*g2^4*g3^2) + (g3^3*t^6.99)/(g1*g2^3) + (g3^3*t^6.99)/(g1^2*g2) + (g2*g3^3*t^6.99)/g1^3 + (g2^4*g3^8*t^7.03)/g1^2 + (g1*t^7.05)/(g2^10*g3^4) + t^7.05/(g2^8*g3^4) + (2*t^7.05)/(g1*g2^6*g3^4) + t^7.05/(g1^2*g2^4*g3^4) + t^7.05/(g1^3*g2^2*g3^4) + (g1*g3*t^7.09)/g2^5 + (2*g3*t^7.09)/g2^3 + (3*g3*t^7.09)/(g1*g2) + (2*g2*g3*t^7.09)/g1^2 + (g2^3*g3*t^7.09)/g1^3 + (2*g2^4*g3^6*t^7.13)/g1 + t^7.15/(g1^3*g3^6) + (g1^3*t^7.15)/(g2^12*g3^6) + (g1^2*t^7.15)/(g2^10*g3^6) + (2*g1*t^7.15)/(g2^8*g3^6) + (2*t^7.15)/(g2^6*g3^6) + (2*t^7.15)/(g1*g2^4*g3^6) + t^7.15/(g1^2*g2^2*g3^6) + (g1^2*t^7.19)/(g2^5*g3) + (2*g1*t^7.19)/(g2^3*g3) + (2*t^7.19)/(g2*g3) + (2*g2*t^7.19)/(g1*g3) + (g2^3*t^7.19)/(g1^2*g3) + 2*g2^4*g3^4*t^7.23 + (g1^3*t^7.29)/(g2^5*g3^3) + (g1^2*t^7.29)/(g2^3*g3^3) + (g1*t^7.29)/(g2*g3^3) + (g2*t^7.29)/g3^3 + (g2^3*t^7.29)/(g1*g3^3) + (g3^4*t^8.08)/(g1^3*g2^2) + (g3^2*t^8.18)/(g1^2*g2^2) + (g2*g3^7*t^8.22)/g1 + (g2^3*g3^7*t^8.22)/g1^2 + (g2^5*g3^7*t^8.22)/g1^3 - t^8.28/g1^2 - t^8.28/g2^4 - (3*t^8.28)/(g1*g2^2) + g2*g3^5*t^8.32 + (g2^3*g3^5*t^8.32)/g1 + (g2^5*g3^5*t^8.32)/g1^2 - (4*t^8.38)/(g1*g3^2) - (4*g1*t^8.38)/(g2^4*g3^2) - (4*t^8.38)/(g2^2*g3^2) - (2*t^8.48)/g3^4 - (g1^3*t^8.48)/(g2^6*g3^4) - (2*g1^2*t^8.48)/(g2^4*g3^4) - (3*g1*t^8.48)/(g2^2*g3^4) - (g2^2*t^8.48)/(g1*g3^4) - g1*g2^3*g3*t^8.53 - t^4.19/(g2*g3*y) - t^6.47/(g1*g2^3*g3*y) - (g1*t^6.57)/(g2^5*g3^3*y) - t^6.57/(g2^3*g3^3*y) - t^6.57/(g1*g2*g3^3*y) + t^7.66/(g2^6*g3^2*y) + t^7.66/(g1*g2^4*g3^2*y) + t^7.66/(g1^2*g2^2*g3^2*y) + (g1*t^7.77)/(g2^6*g3^4*y) + t^7.77/(g2^4*g3^4*y) + t^7.77/(g1*g2^2*g3^4*y) + (g1*g3*t^7.81)/(g2*y) + (g2*g3*t^7.81)/y + (g2^3*g3*t^7.81)/(g1*y) + (g1*g2*t^7.91)/(g3*y) - t^8.75/(g1^2*g2^5*g3*y) + (g3^4*t^8.8)/(g1^2*y) - t^8.85/(g2^7*g3^3*y) - t^8.85/(g1*g2^5*g3^3*y) - t^8.85/(g1^2*g2^3*g3^3*y) + (3*g3^2*t^8.9)/(g1*y) + (g3^2*t^8.9)/(g2^2*y) + (g2^2*g3^2*t^8.9)/(g1^2*y) - (g1^2*t^8.96)/(g2^9*g3^5*y) - (g1*t^8.96)/(g2^7*g3^5*y) - (2*t^8.96)/(g2^5*g3^5*y) - t^8.96/(g1*g2^3*g3^5*y) - t^8.96/(g1^2*g2*g3^5*y) - (t^4.19*y)/(g2*g3) - (t^6.47*y)/(g1*g2^3*g3) - (g1*t^6.57*y)/(g2^5*g3^3) - (t^6.57*y)/(g2^3*g3^3) - (t^6.57*y)/(g1*g2*g3^3) + (t^7.66*y)/(g2^6*g3^2) + (t^7.66*y)/(g1*g2^4*g3^2) + (t^7.66*y)/(g1^2*g2^2*g3^2) + (g1*t^7.77*y)/(g2^6*g3^4) + (t^7.77*y)/(g2^4*g3^4) + (t^7.77*y)/(g1*g2^2*g3^4) + (g1*g3*t^7.81*y)/g2 + g2*g3*t^7.81*y + (g2^3*g3*t^7.81*y)/g1 + (g1*g2*t^7.91*y)/g3 - (t^8.75*y)/(g1^2*g2^5*g3) + (g3^4*t^8.8*y)/g1^2 - (t^8.85*y)/(g2^7*g3^3) - (t^8.85*y)/(g1*g2^5*g3^3) - (t^8.85*y)/(g1^2*g2^3*g3^3) + (3*g3^2*t^8.9*y)/g1 + (g3^2*t^8.9*y)/g2^2 + (g2^2*g3^2*t^8.9*y)/g1^2 - (g1^2*t^8.96*y)/(g2^9*g3^5) - (g1*t^8.96*y)/(g2^7*g3^5) - (2*t^8.96*y)/(g2^5*g3^5) - (t^8.96*y)/(g1*g2^3*g3^5) - (t^8.96*y)/(g1^2*g2*g3^5) |
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 |
|---|---|---|---|---|---|---|---|---|
| 498 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_1M_5$ | 0.6999 | 0.852 | 0.8215 | [X:[], M:[0.9552, 1.0448, 0.9552, 0.9552, 1.0448], q:[0.5672, 0.4776], qb:[0.4776, 0.5672], phi:[0.4776]] | 3*t^2.87 + 3*t^3.13 + t^3.4 + 3*t^4.3 + 4*t^4.57 + 3*t^4.84 + 2*t^5.73 + t^6. - t^4.43/y - t^4.43*y | detail | |
| 500 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_3M_6$ | 0.7406 | 0.896 | 0.8266 | [X:[], M:[0.8194, 1.1806, 0.8579, 0.7809, 0.7809, 1.1421], q:[0.5518, 0.6288], qb:[0.5903, 0.5903], phi:[0.4097]] | 2*t^2.34 + t^2.46 + 2*t^3.43 + 2*t^3.54 + t^4.54 + 2*t^4.66 + 3*t^4.69 + 4*t^4.77 + 2*t^4.8 + 2*t^4.89 + t^4.92 + t^5. + 3*t^5.77 + 2*t^5.88 - 4*t^6. - t^4.23/y - t^4.23*y | detail | |
| 502 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.7722 | 0.9495 | 0.8132 | [X:[], M:[0.7745, 1.2255, 0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.32 + 2*t^3.68 + 15*t^4.65 + 10*t^4.84 - 6*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 203 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 1.1892, 0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*y | detail |