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 |
|---|---|---|---|---|---|---|---|---|---|
| 4532 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ + $ M_2M_8$ | 0.7102 | 0.8804 | 0.8067 | [X:[], M:[0.9108, 1.0297, 1.0892, 0.8513, 1.0, 0.9405, 0.9108, 0.9703], q:[0.5, 0.5892], qb:[0.4108, 0.5595], phi:[0.4851]] | [X:[], M:[[-6], [2], [6], [-10], [0], [-4], [-6], [-2]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_7$, $ M_6$, $ M_8$, $ \phi_1^2$, $ M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_4$, $ M_4M_7$, $ M_4M_6$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ M_4M_8$, $ M_4\phi_1^2$, $ M_4M_5$, $ M_1M_6$, $ M_6M_7$, $ M_6^2$, $ M_1M_8$, $ M_7M_8$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_5$, $ M_5M_7$, $ M_6M_8$, $ M_6\phi_1^2$, $ M_5M_6$, $ M_8^2$, $ M_8\phi_1^2$, $ \phi_1^4$, $ M_5M_8$, $ M_5\phi_1^2$ | . | -3 | t^2.55 + 2*t^2.73 + t^2.82 + 2*t^2.91 + t^3. + t^3.92 + t^4.19 + t^4.37 + 2*t^4.46 + t^4.63 + t^4.72 + t^4.81 + t^4.9 + t^4.99 + t^5.11 + 2*t^5.29 + t^5.38 + 4*t^5.46 + 2*t^5.55 + 5*t^5.64 + 2*t^5.73 + 3*t^5.82 + t^5.91 - 3*t^6. - t^6.09 - 2*t^6.18 - 2*t^6.27 - t^6.45 + t^6.47 - t^6.54 + 2*t^6.65 + 2*t^6.74 + 2*t^6.83 + 3*t^6.92 + t^7.01 + 3*t^7.1 + 4*t^7.19 + 3*t^7.28 + 5*t^7.37 + t^7.46 + 2*t^7.54 + 2*t^7.63 + t^7.66 + 2*t^7.72 + 2*t^7.81 + 3*t^7.84 - t^7.9 + t^7.93 - t^7.99 + 4*t^8.02 - 2*t^8.08 + 3*t^8.11 - t^8.17 + 7*t^8.2 + 3*t^8.29 + 10*t^8.38 + 3*t^8.46 + 4*t^8.55 + 4*t^8.64 - 4*t^8.73 - 3*t^8.82 - 8*t^8.91 - t^4.46/y - t^7.01/y - t^7.19/y - t^7.28/y - t^7.37/y + t^7.54/y + t^7.63/y + t^7.72/y + t^7.9/y + (2*t^8.29)/y + t^8.38/y + (3*t^8.46)/y + (3*t^8.55)/y + (4*t^8.64)/y + (4*t^8.73)/y + (2*t^8.82)/y + (2*t^8.91)/y - t^4.46*y - t^7.01*y - t^7.19*y - t^7.28*y - t^7.37*y + t^7.54*y + t^7.63*y + t^7.72*y + t^7.9*y + 2*t^8.29*y + t^8.38*y + 3*t^8.46*y + 3*t^8.55*y + 4*t^8.64*y + 4*t^8.73*y + 2*t^8.82*y + 2*t^8.91*y | t^2.55/g1^10 + (2*t^2.73)/g1^6 + t^2.82/g1^4 + (2*t^2.91)/g1^2 + t^3. + t^3.92/g1^13 + t^4.19/g1^7 + t^4.37/g1^3 + (2*t^4.46)/g1 + g1^3*t^4.63 + g1^5*t^4.72 + g1^7*t^4.81 + g1^9*t^4.9 + g1^11*t^4.99 + t^5.11/g1^20 + (2*t^5.29)/g1^16 + t^5.38/g1^14 + (4*t^5.46)/g1^12 + (2*t^5.55)/g1^10 + (5*t^5.64)/g1^8 + (2*t^5.73)/g1^6 + (3*t^5.82)/g1^4 + t^5.91/g1^2 - 3*t^6. - g1^2*t^6.09 - 2*g1^4*t^6.18 - 2*g1^6*t^6.27 - g1^10*t^6.45 + t^6.47/g1^23 - g1^12*t^6.54 + (2*t^6.65)/g1^19 + (2*t^6.74)/g1^17 + (2*t^6.83)/g1^15 + (3*t^6.92)/g1^13 + t^7.01/g1^11 + (3*t^7.1)/g1^9 + (4*t^7.19)/g1^7 + (3*t^7.28)/g1^5 + (5*t^7.37)/g1^3 + t^7.46/g1 + 2*g1*t^7.54 + 2*g1^3*t^7.63 + t^7.66/g1^30 + 2*g1^5*t^7.72 + 2*g1^7*t^7.81 + (3*t^7.84)/g1^26 - g1^9*t^7.9 + t^7.93/g1^24 - g1^11*t^7.99 + (4*t^8.02)/g1^22 - 2*g1^13*t^8.08 + (3*t^8.11)/g1^20 - g1^15*t^8.17 + (7*t^8.2)/g1^18 + (3*t^8.29)/g1^16 + (10*t^8.38)/g1^14 + (3*t^8.46)/g1^12 + (4*t^8.55)/g1^10 + (4*t^8.64)/g1^8 - (4*t^8.73)/g1^6 - (3*t^8.82)/g1^4 - (8*t^8.91)/g1^2 - t^4.46/(g1*y) - t^7.01/(g1^11*y) - t^7.19/(g1^7*y) - t^7.28/(g1^5*y) - t^7.37/(g1^3*y) + (g1*t^7.54)/y + (g1^3*t^7.63)/y + (g1^5*t^7.72)/y + (g1^9*t^7.9)/y + (2*t^8.29)/(g1^16*y) + t^8.38/(g1^14*y) + (3*t^8.46)/(g1^12*y) + (3*t^8.55)/(g1^10*y) + (4*t^8.64)/(g1^8*y) + (4*t^8.73)/(g1^6*y) + (2*t^8.82)/(g1^4*y) + (2*t^8.91)/(g1^2*y) - (t^4.46*y)/g1 - (t^7.01*y)/g1^11 - (t^7.19*y)/g1^7 - (t^7.28*y)/g1^5 - (t^7.37*y)/g1^3 + g1*t^7.54*y + g1^3*t^7.63*y + g1^5*t^7.72*y + g1^9*t^7.9*y + (2*t^8.29*y)/g1^16 + (t^8.38*y)/g1^14 + (3*t^8.46*y)/g1^12 + (3*t^8.55*y)/g1^10 + (4*t^8.64*y)/g1^8 + (4*t^8.73*y)/g1^6 + (2*t^8.82*y)/g1^4 + (2*t^8.91*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6033 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ + $ M_2M_8$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7309 | 0.9202 | 0.7943 | [X:[], M:[0.915, 1.0283, 1.085, 0.8583, 1.0, 0.9433, 0.915, 0.9717, 0.6842], q:[0.5, 0.585], qb:[0.415, 0.5567], phi:[0.4858]] | t^2.05 + t^2.57 + 2*t^2.74 + t^2.83 + 2*t^2.91 + t^3. + t^4.11 + t^4.2 + t^4.37 + 2*t^4.46 + 2*t^4.63 + t^4.71 + 3*t^4.8 + 2*t^4.88 + 3*t^4.97 + t^5.05 + t^5.15 + 2*t^5.32 + t^5.4 + 4*t^5.49 + 2*t^5.57 + 5*t^5.66 + 2*t^5.74 + 3*t^5.83 + t^5.91 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2479 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_7$ | 0.7076 | 0.875 | 0.8086 | [X:[], M:[0.917, 1.0277, 1.083, 0.8617, 1.0, 0.9447, 0.917], q:[0.5, 0.583], qb:[0.417, 0.5553], phi:[0.4862]] | t^2.59 + 2*t^2.75 + t^2.83 + t^2.92 + t^3. + t^3.08 + t^3.96 + t^4.21 + t^4.38 + 2*t^4.46 + t^4.62 + t^4.71 + t^4.79 + t^4.87 + t^4.96 + t^5.17 + 2*t^5.34 + t^5.42 + 3*t^5.5 + 2*t^5.59 + 4*t^5.67 + t^5.75 + 3*t^5.83 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail |