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 |
|---|---|---|---|---|---|---|---|---|---|
| 55210 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_5^2$ | 0.6799 | 0.852 | 0.7981 | [X:[], M:[1.1652, 1.0457, 0.8348, 0.7891, 1.0, 0.7065], q:[0.3945, 0.4403], qb:[0.5597, 0.7706], phi:[0.4587]] | [X:[], M:[[8], [-22], [-8], [14], [0], [10]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_3$, $ \phi_1^2$, $ M_5$, $ M_2$, $ M_1$, $ \phi_1q_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ M_3M_6$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_2M_6$, $ M_3\phi_1^2$, $ M_4M_5$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_6\phi_1q_1^2$, $ M_2\phi_1^2$ | . | -1 | t^2.12 + t^2.37 + t^2.5 + t^2.75 + t^3. + t^3.14 + t^3.5 + t^3.74 + t^3.99 + t^4.02 + 2*t^4.24 + t^4.38 + t^4.49 + t^4.62 + 2*t^4.73 + 2*t^4.87 + t^5.01 + 2*t^5.12 + 2*t^5.26 + t^5.37 + 2*t^5.5 + t^5.62 + t^5.75 + t^5.86 + t^5.89 - t^6. + 2*t^6.11 + t^6.14 + t^6.25 + t^6.27 + 2*t^6.36 + 2*t^6.5 + t^6.52 + 2*t^6.61 + 3*t^6.74 + t^6.77 + 2*t^6.85 + 3*t^6.99 + 2*t^7.1 + t^7.13 + t^7.15 + 4*t^7.24 - t^7.27 + 2*t^7.38 + 4*t^7.49 + t^7.51 + 2*t^7.62 + 3*t^7.73 + t^7.76 + 2*t^7.87 + 2*t^7.98 + 2*t^8.01 + t^8.04 - t^8.12 + 3*t^8.23 + 2*t^8.26 - t^8.37 + 2*t^8.39 + 4*t^8.48 - t^8.5 + t^8.62 + 2*t^8.64 + 3*t^8.73 + 2*t^8.86 + t^8.89 + 4*t^8.97 - t^4.38/y - t^6.5/y - t^6.74/y - t^7.13/y + t^7.24/y + t^7.49/y - t^7.51/y + (2*t^7.62)/y + (2*t^7.87)/y + t^8.01/y + (2*t^8.12)/y + (3*t^8.26)/y + t^8.37/y + (2*t^8.5)/y + t^8.64/y + t^8.75/y + t^8.86/y + t^8.89/y - t^4.38*y - t^6.5*y - t^6.74*y - t^7.13*y + t^7.24*y + t^7.49*y - t^7.51*y + 2*t^7.62*y + 2*t^7.87*y + t^8.01*y + 2*t^8.12*y + 3*t^8.26*y + t^8.37*y + 2*t^8.5*y + t^8.64*y + t^8.75*y + t^8.86*y + t^8.89*y | g1^10*t^2.12 + g1^14*t^2.37 + t^2.5/g1^8 + t^2.75/g1^4 + t^3. + t^3.14/g1^22 + g1^8*t^3.5 + g1^12*t^3.74 + g1^16*t^3.99 + t^4.02/g1^32 + 2*g1^20*t^4.24 + t^4.38/g1^2 + g1^24*t^4.49 + g1^2*t^4.62 + 2*g1^28*t^4.73 + 2*g1^6*t^4.87 + t^5.01/g1^16 + 2*g1^10*t^5.12 + (2*t^5.26)/g1^12 + g1^14*t^5.37 + (2*t^5.5)/g1^8 + g1^18*t^5.62 + t^5.75/g1^4 + g1^22*t^5.86 + t^5.89/g1^26 - t^6. + 2*g1^26*t^6.11 + t^6.14/g1^22 + g1^4*t^6.25 + t^6.27/g1^44 + 2*g1^30*t^6.36 + 2*g1^8*t^6.5 + t^6.52/g1^40 + 2*g1^34*t^6.61 + 3*g1^12*t^6.74 + t^6.77/g1^36 + 2*g1^38*t^6.85 + 3*g1^16*t^6.99 + 2*g1^42*t^7.1 + t^7.13/g1^6 + t^7.15/g1^54 + 4*g1^20*t^7.24 - t^7.27/g1^28 + (2*t^7.38)/g1^2 + 4*g1^24*t^7.49 + t^7.51/g1^24 + 2*g1^2*t^7.62 + 3*g1^28*t^7.73 + t^7.76/g1^20 + 2*g1^6*t^7.87 + 2*g1^32*t^7.98 + (2*t^8.01)/g1^16 + t^8.04/g1^64 - g1^10*t^8.12 + 3*g1^36*t^8.23 + (2*t^8.26)/g1^12 - g1^14*t^8.37 + (2*t^8.39)/g1^34 + 4*g1^40*t^8.48 - t^8.5/g1^8 + g1^18*t^8.62 + (2*t^8.64)/g1^30 + 3*g1^44*t^8.73 + 2*g1^22*t^8.86 + t^8.89/g1^26 + 4*g1^48*t^8.97 - t^4.38/(g1^2*y) - (g1^8*t^6.5)/y - (g1^12*t^6.74)/y - t^7.13/(g1^6*y) + (g1^20*t^7.24)/y + (g1^24*t^7.49)/y - t^7.51/(g1^24*y) + (2*g1^2*t^7.62)/y + (2*g1^6*t^7.87)/y + t^8.01/(g1^16*y) + (2*g1^10*t^8.12)/y + (3*t^8.26)/(g1^12*y) + (g1^14*t^8.37)/y + (2*t^8.5)/(g1^8*y) + t^8.64/(g1^30*y) + t^8.75/(g1^4*y) + (g1^22*t^8.86)/y + t^8.89/(g1^26*y) - (t^4.38*y)/g1^2 - g1^8*t^6.5*y - g1^12*t^6.74*y - (t^7.13*y)/g1^6 + g1^20*t^7.24*y + g1^24*t^7.49*y - (t^7.51*y)/g1^24 + 2*g1^2*t^7.62*y + 2*g1^6*t^7.87*y + (t^8.01*y)/g1^16 + 2*g1^10*t^8.12*y + (3*t^8.26*y)/g1^12 + g1^14*t^8.37*y + (2*t^8.5*y)/g1^8 + (t^8.64*y)/g1^30 + (t^8.75*y)/g1^4 + g1^22*t^8.86*y + (t^8.89*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56869 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_5^2$ + $ M_1M_7$ | 0.6943 | 0.8765 | 0.7921 | [X:[], M:[1.1698, 1.0329, 0.8302, 0.7972, 1.0, 0.7123, 0.8302], q:[0.3986, 0.4316], qb:[0.5684, 0.7712], phi:[0.4575]] | t^2.14 + t^2.39 + 2*t^2.49 + t^2.75 + t^3. + t^3.1 + t^3.76 + t^3.96 + t^4.02 + 2*t^4.27 + t^4.37 + t^4.53 + 2*t^4.63 + 2*t^4.78 + 3*t^4.88 + 3*t^4.98 + 2*t^5.14 + 3*t^5.24 + t^5.39 + 3*t^5.49 + t^5.59 + t^5.75 + t^5.84 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 56868 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_5^2$ + $ M_7\phi_1^2$ | 0.6724 | 0.8396 | 0.8008 | [X:[], M:[1.1622, 1.0539, 0.8378, 0.7839, 1.0, 0.7028, 1.0811], q:[0.3919, 0.4458], qb:[0.5542, 0.7703], phi:[0.4594]] | t^2.11 + t^2.35 + t^2.51 + t^3. + t^3.16 + t^3.24 + t^3.49 + t^3.73 + t^3.97 + t^4.05 + 2*t^4.22 + t^4.38 + t^4.46 + t^4.62 + 2*t^4.7 + t^4.87 + t^5.03 + t^5.11 + t^5.27 + 2*t^5.35 + t^5.51 + 2*t^5.6 + t^5.76 + t^5.84 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 56870 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ + $ M_5^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7008 | 0.8934 | 0.7844 | [X:[], M:[1.1654, 1.0452, 0.8346, 0.7894, 1.0, 0.7067, 0.6692], q:[0.3947, 0.4399], qb:[0.5601, 0.7707], phi:[0.4587]] | t^2.01 + t^2.12 + t^2.37 + t^2.5 + t^2.75 + t^3. + t^3.14 + t^3.5 + t^3.74 + 2*t^4.02 + t^4.13 + 2*t^4.24 + 2*t^4.38 + t^4.49 + t^4.51 + t^4.62 + 2*t^4.74 + t^4.76 + 2*t^4.87 + 2*t^5.01 + 2*t^5.12 + t^5.14 + 2*t^5.26 + t^5.37 + 3*t^5.5 + t^5.62 + 2*t^5.75 + t^5.86 + t^5.89 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46820 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6898 | 0.8671 | 0.7956 | [X:[], M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.16 + t^2.2 + t^2.55 + t^2.59 + t^2.62 + t^2.97 + t^3.45 + t^3.49 + t^4.19 + t^4.28 + 2*t^4.32 + t^4.36 + t^4.4 + t^4.67 + t^4.71 + 2*t^4.75 + 2*t^4.78 + t^4.82 + t^5.09 + 2*t^5.13 + t^5.15 + 2*t^5.17 + t^5.21 + t^5.25 + t^5.56 + t^5.6 + t^5.61 + t^5.65 + t^5.69 + t^5.94 - 2*t^6. - t^4.29/y - t^4.29*y | detail |