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 |
|---|---|---|---|---|---|---|---|---|---|
| 500 | 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$ + $ 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]] | [X:[], M:[[0, -2, -2], [0, 2, 2], [1, -4, -2], [-1, 0, -2], [-1, -2, 0], [-1, 4, 2]], 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_1$, $ M_6$, $ q_1\tilde{q}_2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_4^2$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_5$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_5M_6$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_2M_4$, $ M_1M_6$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_5\tilde{q}_1\tilde{q}_2$ | $M_1M_2$, $ M_1\tilde{q}_1\tilde{q}_2$ | -4 | 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. - 4*t^6.12 - t^6.23 + 3*t^6.85 + 2*t^6.88 + 4*t^6.97 + 4*t^7. + 4*t^7.03 + 2*t^7.08 + 6*t^7.11 + 3*t^7.14 + 3*t^7.23 + 2*t^7.26 + t^7.37 + 2*t^7.97 + 4*t^8.08 + 4*t^8.11 + 6*t^8.2 + 2*t^8.23 + 3*t^8.31 - 8*t^8.34 - 8*t^8.46 - 4*t^8.57 - t^4.23/y - (2*t^6.57)/y - t^6.69/y + t^7.69/y + t^7.77/y + (2*t^7.8)/y + (2*t^7.89)/y + (4*t^8.77)/y + (6*t^8.88)/y - (3*t^8.91)/y - t^4.23*y - 2*t^6.57*y - t^6.69*y + t^7.69*y + t^7.77*y + 2*t^7.8*y + 2*t^7.89*y + 4*t^8.77*y + 6*t^8.88*y - 3*t^8.91*y | t^2.34/(g1*g2^2) + t^2.34/(g1*g3^2) + t^2.46/(g2^2*g3^2) + (g2^4*g3^2*t^3.43)/g1 + (g2^2*g3^4*t^3.43)/g1 + 2*g2^2*g3^2*t^3.54 + (g2^3*g3^3*t^4.54)/g1^2 + (g2^3*g3*t^4.66)/g1 + (g2*g3^3*t^4.66)/g1 + t^4.69/(g1^2*g2^4) + t^4.69/(g1^2*g3^4) + t^4.69/(g1^2*g2^2*g3^2) + (g2^3*t^4.77)/g3 + 2*g2*g3*t^4.77 + (g3^3*t^4.77)/g2 + t^4.8/(g1*g2^2*g3^4) + t^4.8/(g1*g2^4*g3^2) + (g1*g2*t^4.89)/g3 + (g1*g3*t^4.89)/g2 + t^4.92/(g2^4*g3^4) + (g1^2*t^5.)/(g2*g3) + (g2^4*t^5.77)/g1^2 + (g2^2*g3^2*t^5.77)/g1^2 + (g3^4*t^5.77)/g1^2 + (g2^2*t^5.88)/g1 + (g3^2*t^5.88)/g1 - 2*t^6. - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 - (2*g1*t^6.12)/g2^2 - (2*g1*t^6.12)/g3^2 - (g1^2*t^6.23)/(g2^2*g3^2) + (g2^8*g3^4*t^6.85)/g1^2 + (g2^6*g3^6*t^6.85)/g1^2 + (g2^4*g3^8*t^6.85)/g1^2 + (g2^3*g3*t^6.88)/g1^3 + (g2*g3^3*t^6.88)/g1^3 + (2*g2^6*g3^4*t^6.97)/g1 + (2*g2^4*g3^6*t^6.97)/g1 + (g2^3*t^7.)/(g1^2*g3) + (2*g2*g3*t^7.)/g1^2 + (g3^3*t^7.)/(g1^2*g2) + t^7.03/(g1^3*g2^6) + t^7.03/(g1^3*g3^6) + t^7.03/(g1^3*g2^2*g3^4) + t^7.03/(g1^3*g2^4*g3^2) + 2*g2^4*g3^4*t^7.08 + (g2^3*t^7.11)/(g1*g3^3) + (2*g2*t^7.11)/(g1*g3) + (2*g3*t^7.11)/(g1*g2) + (g3^3*t^7.11)/(g1*g2^3) + t^7.14/(g1^2*g2^2*g3^6) + t^7.14/(g1^2*g2^4*g3^4) + t^7.14/(g1^2*g2^6*g3^2) + (g2*t^7.23)/g3^3 + t^7.23/(g2*g3) + (g3*t^7.23)/g2^3 + t^7.26/(g1*g2^4*g3^6) + t^7.26/(g1*g2^6*g3^4) + t^7.37/(g2^6*g3^6) + (g2^7*g3^5*t^7.97)/g1^3 + (g2^5*g3^7*t^7.97)/g1^3 + (g2^7*g3^3*t^8.08)/g1^2 + (2*g2^5*g3^5*t^8.08)/g1^2 + (g2^3*g3^7*t^8.08)/g1^2 + (g2^2*t^8.11)/g1^3 + (g2^4*t^8.11)/(g1^3*g3^2) + (g3^2*t^8.11)/g1^3 + (g3^4*t^8.11)/(g1^3*g2^2) + (g2^7*g3*t^8.2)/g1 + (2*g2^5*g3^3*t^8.2)/g1 + (2*g2^3*g3^5*t^8.2)/g1 + (g2*g3^7*t^8.2)/g1 + (g2^2*t^8.23)/(g1^2*g3^2) + (g3^2*t^8.23)/(g1^2*g2^2) + g2^5*g3*t^8.31 + g2^3*g3^3*t^8.31 + g2*g3^5*t^8.31 - (3*t^8.34)/(g1*g2^2) - (g2^2*t^8.34)/(g1*g3^4) - (3*t^8.34)/(g1*g3^2) - (g3^2*t^8.34)/(g1*g2^4) - (2*t^8.46)/g2^4 - (2*t^8.46)/g3^4 - (4*t^8.46)/(g2^2*g3^2) - (2*g1*t^8.57)/(g2^2*g3^4) - (2*g1*t^8.57)/(g2^4*g3^2) - t^4.23/(g2*g3*y) - t^6.57/(g1*g2*g3^3*y) - t^6.57/(g1*g2^3*g3*y) - t^6.69/(g2^3*g3^3*y) + t^7.69/(g1^2*g2^2*g3^2*y) + (g2*g3*t^7.77)/y + t^7.8/(g1*g2^2*g3^4*y) + t^7.8/(g1*g2^4*g3^2*y) + (g1*g2*t^7.89)/(g3*y) + (g1*g3*t^7.89)/(g2*y) + (g2^4*t^8.77)/(g1^2*y) + (2*g2^2*g3^2*t^8.77)/(g1^2*y) + (g3^4*t^8.77)/(g1^2*y) + (3*g2^2*t^8.88)/(g1*y) + (3*g3^2*t^8.88)/(g1*y) - t^8.91/(g1^2*g2*g3^5*y) - t^8.91/(g1^2*g2^3*g3^3*y) - t^8.91/(g1^2*g2^5*g3*y) - (t^4.23*y)/(g2*g3) - (t^6.57*y)/(g1*g2*g3^3) - (t^6.57*y)/(g1*g2^3*g3) - (t^6.69*y)/(g2^3*g3^3) + (t^7.69*y)/(g1^2*g2^2*g3^2) + g2*g3*t^7.77*y + (t^7.8*y)/(g1*g2^2*g3^4) + (t^7.8*y)/(g1*g2^4*g3^2) + (g1*g2*t^7.89*y)/g3 + (g1*g3*t^7.89*y)/g2 + (g2^4*t^8.77*y)/g1^2 + (2*g2^2*g3^2*t^8.77*y)/g1^2 + (g3^4*t^8.77*y)/g1^2 + (3*g2^2*t^8.88*y)/g1 + (3*g3^2*t^8.88*y)/g1 - (t^8.91*y)/(g1^2*g2*g3^5) - (t^8.91*y)/(g1^2*g2^3*g3^3) - (t^8.91*y)/(g1^2*g2^5*g3) |
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 |
|---|---|---|---|---|---|---|---|---|
| 786 | $M_1q_1q_2$ + $ \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$ + $ M_1M_7$ | 0.7262 | 0.8734 | 0.8315 | [X:[], M:[0.8461, 1.1539, 0.8889, 0.8033, 0.8033, 1.1111, 1.1539], q:[0.5341, 0.6197], qb:[0.5769, 0.5769], phi:[0.4231]] | 2*t^2.41 + 2*t^3.33 + 3*t^3.46 + t^4.47 + 2*t^4.6 + 4*t^4.73 + 3*t^4.82 + 2*t^4.86 + t^4.99 + 3*t^5.74 + 2*t^5.87 - 6*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.19/y - t^4.19*y | detail |