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 |
|---|---|---|---|---|---|---|---|---|---|
| 55418 | 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_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ | 0.6877 | 0.8645 | 0.7955 | [X:[], M:[1.1711, 0.9733, 0.8289, 0.7807, 0.9252, 0.6844], q:[0.3904, 0.4385], qb:[0.6363, 0.7807], phi:[0.4385]] | [X:[], M:[[3], [-18], [-3], [2], [-13], [12]], q:[[1], [-4]], qb:[[17], [2]], phi:[[-4]]] | 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$, $ \phi_1q_1q_2$, $ M_6^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_6\phi_1^2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_6$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_2M_3$, $ M_5\phi_1^2$, $ M_5^2$, $ M_2\phi_1^2$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_6\phi_1q_1^2$, $ M_2^2$, $ M_1M_4$, $ M_6\phi_1q_1q_2$ | . | -1 | t^2.05 + t^2.34 + t^2.49 + t^2.63 + t^2.78 + t^2.92 + t^3.51 + t^3.66 + t^3.8 + t^4.11 + t^4.25 + 2*t^4.4 + 2*t^4.54 + 2*t^4.68 + 2*t^4.83 + 3*t^4.97 + 2*t^5.12 + t^5.13 + 2*t^5.26 + t^5.41 + 2*t^5.55 + t^5.57 + t^5.7 + t^5.71 + t^5.84 + t^5.86 - t^6. + t^6.14 + t^6.16 + 2*t^6.29 + t^6.3 + 2*t^6.43 + 2*t^6.45 + t^6.58 + 2*t^6.59 + 2*t^6.74 + 3*t^6.88 + 5*t^7.03 + 4*t^7.17 + t^7.19 + 4*t^7.32 + 4*t^7.46 + t^7.48 + 5*t^7.6 + t^7.62 + 3*t^7.75 + 2*t^7.76 + 4*t^7.89 + t^7.91 + 2*t^8.04 + 3*t^8.18 + t^8.21 + 2*t^8.33 - t^8.34 + t^8.36 + 2*t^8.47 + 2*t^8.5 + t^8.62 - t^8.63 + 3*t^8.65 + t^8.76 - t^8.78 + 3*t^8.79 - t^8.92 + 3*t^8.94 - t^4.32/y - t^6.37/y - t^6.66/y - t^6.95/y - t^7.09/y - t^7.24/y + (2*t^7.4)/y + (2*t^7.54)/y + (2*t^7.68)/y + (2*t^7.83)/y + (3*t^7.97)/y + (2*t^8.12)/y + (3*t^8.26)/y + (2*t^8.41)/y - t^8.42/y + t^8.55/y + t^8.57/y + t^8.7/y + (2*t^8.86)/y - t^4.32*y - t^6.37*y - t^6.66*y - t^6.95*y - t^7.09*y - t^7.24*y + 2*t^7.4*y + 2*t^7.54*y + 2*t^7.68*y + 2*t^7.83*y + 3*t^7.97*y + 2*t^8.12*y + 3*t^8.26*y + 2*t^8.41*y - t^8.42*y + t^8.55*y + t^8.57*y + t^8.7*y + 2*t^8.86*y | g1^12*t^2.05 + g1^2*t^2.34 + t^2.49/g1^3 + t^2.63/g1^8 + t^2.78/g1^13 + t^2.92/g1^18 + g1^3*t^3.51 + t^3.66/g1^2 + t^3.8/g1^7 + g1^24*t^4.11 + g1^19*t^4.25 + 2*g1^14*t^4.4 + 2*g1^9*t^4.54 + 2*g1^4*t^4.68 + (2*t^4.83)/g1 + (3*t^4.97)/g1^6 + (2*t^5.12)/g1^11 + g1^30*t^5.13 + (2*t^5.26)/g1^16 + t^5.41/g1^21 + (2*t^5.55)/g1^26 + g1^15*t^5.57 + t^5.7/g1^31 + g1^10*t^5.71 + t^5.84/g1^36 + g1^5*t^5.86 - t^6. + t^6.14/g1^5 + g1^36*t^6.16 + (2*t^6.29)/g1^10 + g1^31*t^6.3 + (2*t^6.43)/g1^15 + 2*g1^26*t^6.45 + t^6.58/g1^20 + 2*g1^21*t^6.59 + 2*g1^16*t^6.74 + 3*g1^11*t^6.88 + 5*g1^6*t^7.03 + 4*g1*t^7.17 + g1^42*t^7.19 + (4*t^7.32)/g1^4 + (4*t^7.46)/g1^9 + g1^32*t^7.48 + (5*t^7.6)/g1^14 + g1^27*t^7.62 + (3*t^7.75)/g1^19 + 2*g1^22*t^7.76 + (4*t^7.89)/g1^24 + g1^17*t^7.91 + (2*t^8.04)/g1^29 + (3*t^8.18)/g1^34 + g1^48*t^8.21 + (2*t^8.33)/g1^39 - g1^2*t^8.34 + g1^43*t^8.36 + (2*t^8.47)/g1^44 + 2*g1^38*t^8.5 + t^8.62/g1^49 - t^8.63/g1^8 + 3*g1^33*t^8.65 + t^8.76/g1^54 - t^8.78/g1^13 + 3*g1^28*t^8.79 - t^8.92/g1^18 + 3*g1^23*t^8.94 - t^4.32/(g1^4*y) - (g1^8*t^6.37)/y - t^6.66/(g1^2*y) - t^6.95/(g1^12*y) - t^7.09/(g1^17*y) - t^7.24/(g1^22*y) + (2*g1^14*t^7.4)/y + (2*g1^9*t^7.54)/y + (2*g1^4*t^7.68)/y + (2*t^7.83)/(g1*y) + (3*t^7.97)/(g1^6*y) + (2*t^8.12)/(g1^11*y) + (3*t^8.26)/(g1^16*y) + (2*t^8.41)/(g1^21*y) - (g1^20*t^8.42)/y + t^8.55/(g1^26*y) + (g1^15*t^8.57)/y + t^8.7/(g1^31*y) + (2*g1^5*t^8.86)/y - (t^4.32*y)/g1^4 - g1^8*t^6.37*y - (t^6.66*y)/g1^2 - (t^6.95*y)/g1^12 - (t^7.09*y)/g1^17 - (t^7.24*y)/g1^22 + 2*g1^14*t^7.4*y + 2*g1^9*t^7.54*y + 2*g1^4*t^7.68*y + (2*t^7.83*y)/g1 + (3*t^7.97*y)/g1^6 + (2*t^8.12*y)/g1^11 + (3*t^8.26*y)/g1^16 + (2*t^8.41*y)/g1^21 - g1^20*t^8.42*y + (t^8.55*y)/g1^26 + g1^15*t^8.57*y + (t^8.7*y)/g1^31 + 2*g1^5*t^8.86*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 57034 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ + $ M_1M_7$ | 0.7023 | 0.8898 | 0.7893 | [X:[], M:[1.1722, 0.9666, 0.8278, 0.7815, 0.9203, 0.689, 0.8278], q:[0.3907, 0.437], qb:[0.6427, 0.7815], phi:[0.437]] | t^2.07 + t^2.34 + 2*t^2.48 + t^2.62 + t^2.76 + t^2.9 + t^3.66 + t^3.79 + t^4.13 + t^4.27 + 2*t^4.41 + 3*t^4.55 + 2*t^4.69 + 3*t^4.83 + 5*t^4.97 + 3*t^5.11 + t^5.17 + 3*t^5.24 + 2*t^5.38 + 2*t^5.52 + t^5.66 + t^5.72 + t^5.8 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 57033 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ | 0.6701 | 0.8332 | 0.8043 | [X:[], M:[1.1717, 0.9698, 0.8283, 0.7811, 0.9227, 0.6868, 1.2189], q:[0.3906, 0.4377], qb:[0.6396, 0.7811], phi:[0.4377]] | t^2.06 + t^2.48 + t^2.63 + t^2.77 + t^2.91 + t^3.52 + 2*t^3.66 + t^3.8 + t^4.12 + t^4.26 + t^4.4 + 2*t^4.55 + t^4.69 + t^4.83 + 2*t^4.97 + t^5.11 + t^5.15 + t^5.25 + t^5.39 + 2*t^5.54 + t^5.58 + t^5.68 + 2*t^5.72 + t^5.82 - 2*t^6. - t^4.31/y - t^4.31*y | detail | |
| 57027 | $M_1q_1q_2$ + $ 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_4\phi_1q_1^2$ + $ M_6\phi_1q_2^2$ + $ M_6^2$ + $ M_2X_1$ + $ M_5X_2$ + $ \phi_1^2X_3$ | 0.4629 | 0.5566 | 0.8316 | [X:[1.5, 1.4167, 1.3333], M:[1.25, 0.5, 0.75, 0.8333, 0.5833, 1.0], q:[0.4167, 0.3333], qb:[1.0833, 0.8333], phi:[0.3333]] | t^2.25 + t^2.5 + t^3. + t^3.25 + t^3.5 + t^4.25 + 2*t^4.5 + t^5.25 + 3*t^5.5 + t^5.75 - t^6. - t^4./y - t^4.*y | detail | {a: 237/512, c: 285/512, X1: 3/2, X2: 17/12, X3: 4/3, M1: 5/4, M2: 1/2, M3: 3/4, M4: 5/6, M5: 7/12, M6: 1, q1: 5/12, q2: 1/3, qb1: 13/12, qb2: 5/6, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46948 | 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_4\phi_1q_1^2$ | 0.6669 | 0.8242 | 0.8092 | [X:[], M:[1.1719, 0.9689, 0.8281, 0.7812, 0.922], q:[0.3906, 0.4375], qb:[0.6405, 0.7812], phi:[0.4375]] | t^2.34 + t^2.48 + t^2.63 + t^2.77 + t^2.91 + t^3.52 + t^3.66 + t^3.8 + t^3.94 + t^4.27 + t^4.41 + t^4.55 + t^4.69 + t^4.83 + 2*t^4.97 + 2*t^5.11 + t^5.16 + 2*t^5.25 + t^5.39 + 2*t^5.53 + t^5.67 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail |