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 |
|---|---|---|---|---|---|---|---|---|---|
| 2379 | 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_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ | 0.588 | 0.742 | 0.7924 | [X:[], M:[1.0, 1.0237, 0.9526, 1.2559, 0.6967, 0.7441, 1.3033], q:[0.2441, 0.7559], qb:[0.5, 0.5474], phi:[0.4882]] | [X:[], M:[[0], [4], [-8], [1], [-9], [-1], [9]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_7$, $ M_6^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1^2\tilde{q}_2^2$, $ M_6\phi_1q_1^2$, $ M_1M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ \phi_1q_1^3\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_1^2$, $ M_1M_3$, $ \phi_1^2q_1^4$, $ M_2M_3$, $ M_6\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.23 + t^2.37 + t^2.86 + t^2.93 + t^3. + t^3.07 + t^3.7 + t^3.77 + t^3.84 + t^3.91 + 2*t^4.46 + 2*t^4.61 + 2*t^4.75 + t^5.16 + t^5.23 + 2*t^5.3 + t^5.37 + t^5.45 + t^5.72 + t^5.79 + t^5.86 + 2*t^5.93 - t^6. + 2*t^6.07 + t^6.14 + t^6.21 + t^6.28 + t^6.63 + 2*t^6.7 + t^6.77 + 3*t^6.84 + 3*t^6.98 + 2*t^7.12 + 2*t^7.39 + 2*t^7.54 + 2*t^7.61 + 4*t^7.68 + 2*t^7.75 + 2*t^7.82 + 2*t^8.16 - t^8.23 + 2*t^8.3 - t^8.37 + 2*t^8.45 + 2*t^8.52 + t^8.57 + 2*t^8.59 + t^8.64 + 2*t^8.66 + 2*t^8.72 + t^8.79 - t^8.86 - t^8.93 - t^4.46/y - t^7.32/y + (2*t^7.61)/y + t^8.09/y + t^8.16/y + (2*t^8.23)/y + (2*t^8.3)/y + t^8.37/y + t^8.45/y + t^8.79/y + t^8.86/y + (3*t^8.93)/y - t^4.46*y - t^7.32*y + 2*t^7.61*y + t^8.09*y + t^8.16*y + 2*t^8.23*y + 2*t^8.3*y + t^8.37*y + t^8.45*y + t^8.79*y + t^8.86*y + 3*t^8.93*y | t^2.23/g1 + g1^7*t^2.37 + t^2.86/g1^8 + t^2.93/g1^4 + t^3. + g1^4*t^3.07 + t^3.7/g1^3 + g1*t^3.77 + g1^5*t^3.84 + g1^9*t^3.91 + (2*t^4.46)/g1^2 + 2*g1^6*t^4.61 + 2*g1^14*t^4.75 + t^5.16/g1^5 + t^5.23/g1 + 2*g1^3*t^5.3 + g1^7*t^5.37 + g1^11*t^5.45 + t^5.72/g1^16 + t^5.79/g1^12 + t^5.86/g1^8 + (2*t^5.93)/g1^4 - t^6. + 2*g1^4*t^6.07 + g1^8*t^6.14 + g1^12*t^6.21 + g1^16*t^6.28 + t^6.63/g1^7 + (2*t^6.7)/g1^3 + g1*t^6.77 + 3*g1^5*t^6.84 + 3*g1^13*t^6.98 + 2*g1^21*t^7.12 + (2*t^7.39)/g1^6 + 2*g1^2*t^7.54 + 2*g1^6*t^7.61 + 4*g1^10*t^7.68 + 2*g1^14*t^7.75 + 2*g1^18*t^7.82 + (2*t^8.16)/g1^5 - t^8.23/g1 + 2*g1^3*t^8.3 - g1^7*t^8.37 + 2*g1^11*t^8.45 + 2*g1^15*t^8.52 + t^8.57/g1^24 + 2*g1^19*t^8.59 + t^8.64/g1^20 + 2*g1^23*t^8.66 + (2*t^8.72)/g1^16 + t^8.79/g1^12 - t^8.86/g1^8 - t^8.93/g1^4 - t^4.46/(g1^2*y) - t^7.32/(g1^10*y) + (2*g1^6*t^7.61)/y + t^8.09/(g1^9*y) + t^8.16/(g1^5*y) + (2*t^8.23)/(g1*y) + (2*g1^3*t^8.3)/y + (g1^7*t^8.37)/y + (g1^11*t^8.45)/y + t^8.79/(g1^12*y) + t^8.86/(g1^8*y) + (3*t^8.93)/(g1^4*y) - (t^4.46*y)/g1^2 - (t^7.32*y)/g1^10 + 2*g1^6*t^7.61*y + (t^8.09*y)/g1^9 + (t^8.16*y)/g1^5 + (2*t^8.23*y)/g1 + 2*g1^3*t^8.3*y + g1^7*t^8.37*y + g1^11*t^8.45*y + (t^8.79*y)/g1^12 + (t^8.86*y)/g1^8 + (3*t^8.93*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4405 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_4M_8$ | 0.6073 | 0.7772 | 0.7814 | [X:[], M:[1.0, 1.025, 0.95, 1.2563, 0.6937, 0.7437, 1.3063, 0.7437], q:[0.2437, 0.7563], qb:[0.5, 0.55], phi:[0.4875]] | 2*t^2.23 + t^2.38 + t^2.85 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.84 + t^3.92 + 4*t^4.46 + 3*t^4.61 + 2*t^4.76 + t^5.08 + 2*t^5.16 + 2*t^5.23 + 3*t^5.31 + t^5.38 + t^5.46 + t^5.7 + t^5.77 + t^5.85 + 3*t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4402 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1\tilde{q}_1$ | 0.6063 | 0.7756 | 0.7818 | [X:[], M:[1.0, 1.0189, 0.9623, 1.2547, 0.7076, 0.7453, 1.2924, 0.7641], q:[0.2453, 0.7547], qb:[0.5, 0.5377], phi:[0.4906]] | t^2.24 + t^2.29 + t^2.35 + t^2.89 + t^2.94 + t^3. + t^3.06 + t^3.76 + t^3.82 + t^3.88 + 2*t^4.47 + t^4.53 + 3*t^4.58 + t^4.64 + 2*t^4.7 + 2*t^5.18 + 2*t^5.24 + 3*t^5.29 + 2*t^5.35 + t^5.41 + t^5.77 + t^5.83 + t^5.89 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail | |
| 4406 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1\tilde{q}_2$ | 0.6081 | 0.7796 | 0.7801 | [X:[], M:[1.0, 1.028, 0.9439, 1.257, 0.6869, 0.743, 1.3131, 0.7149], q:[0.243, 0.757], qb:[0.5, 0.5561], phi:[0.486]] | t^2.14 + t^2.23 + t^2.4 + t^2.83 + t^2.92 + t^3. + t^3.08 + t^3.69 + t^3.77 + t^3.94 + t^4.29 + t^4.37 + 2*t^4.46 + t^4.54 + 2*t^4.63 + 2*t^4.79 + t^4.98 + t^5.06 + 2*t^5.14 + 2*t^5.23 + 2*t^5.31 + t^5.4 + t^5.48 + t^5.66 + t^5.75 + 2*t^5.83 + 3*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail | |
| 4401 | $M_1q_1q_2$ + $ 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_1^2$ + $ M_5M_7$ + $ \phi_1q_2^2$ + $ M_8\phi_1q_1^2$ | 0.5864 | 0.7409 | 0.7914 | [X:[], M:[1.0, 1.0109, 0.9781, 1.2527, 0.7254, 0.7473, 1.2746, 1.0109], q:[0.2473, 0.7527], qb:[0.5, 0.5219], phi:[0.4945]] | t^2.24 + t^2.31 + t^2.93 + t^3. + 2*t^3.03 + t^3.73 + t^3.76 + t^3.79 + t^3.82 + 2*t^4.48 + 2*t^4.55 + 2*t^4.61 + t^5.24 + 2*t^5.27 + t^5.31 + 2*t^5.34 + t^5.87 + 2*t^5.97 - 2*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1324 | 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_1^2$ + $ M_5M_7$ | 0.7019 | 0.853 | 0.8229 | [X:[], M:[1.0, 1.0554, 0.8892, 1.0, 0.8892, 1.0, 1.1108], q:[0.5, 0.5], qb:[0.5, 0.6108], phi:[0.4723]] | t^2.67 + 3*t^3. + t^3.17 + 2*t^3.33 + 6*t^4.42 + 3*t^4.75 + t^5.08 + t^5.34 + t^5.83 - 2*t^6. - t^4.42/y - t^4.42*y | detail |