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 |
|---|---|---|---|---|---|---|---|---|---|
| 532 | 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_3^2$ + $ M_1M_4$ | 0.6998 | 0.8569 | 0.8166 | [X:[], M:[0.9424, 1.0288, 1.0, 1.0576, 0.8849], q:[0.4843, 0.5732], qb:[0.4581, 0.5419], phi:[0.4856]] | [X:[], M:[[-4, -4], [2, 2], [0, 0], [4, 4], [-8, -8]], q:[[-4, 4], [8, 0]], qb:[[0, -8], [0, 8]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5^2$, $ M_1M_5$, $ M_1^2$, $ M_3M_5$, $ M_2M_5$, $ M_1M_3$, $ M_4M_5$, $ M_1M_2$ | . | -2 | t^2.65 + t^2.83 + t^3. + t^3.08 + 2*t^3.09 + t^3.17 + t^4.21 + t^4.28 + t^4.36 + t^4.46 + t^4.54 + t^4.55 + t^4.63 + t^4.71 + t^4.8 + t^4.9 + t^5.31 + t^5.48 + t^5.65 + t^5.74 + t^5.83 + t^5.91 - 2*t^6. + t^6.09 + 2*t^6.16 + t^6.17 + t^6.18 + t^6.19 + t^6.26 + t^6.86 + t^6.94 + t^7.02 + t^7.03 + t^7.11 + t^7.19 + t^7.21 + 2*t^7.28 + t^7.3 + 2*t^7.36 + t^7.38 + t^7.44 + t^7.46 + 2*t^7.54 + t^7.55 + t^7.61 + t^7.63 + t^7.64 + t^7.71 + t^7.72 + t^7.79 + t^7.8 + t^7.88 + t^7.9 + t^7.96 + t^7.97 + t^7.99 + t^8.07 + t^8.14 + t^8.31 + t^8.4 + t^8.41 + t^8.48 + t^8.49 + 2*t^8.57 - t^8.58 - t^8.65 + t^8.66 + 2*t^8.74 - t^8.75 + t^8.76 + t^8.82 - 3*t^8.83 + t^8.84 + t^8.9 + t^8.91 - t^8.92 + 2*t^8.99 - t^4.46/y - t^7.11/y + t^7.8/y + t^8.48/y + t^8.65/y + t^8.73/y + t^8.74/y + t^8.75/y + (2*t^8.83)/y + (2*t^8.91)/y + t^8.92/y - t^4.46*y - t^7.11*y + t^7.8*y + t^8.48*y + t^8.65*y + t^8.73*y + t^8.74*y + t^8.75*y + 2*t^8.83*y + 2*t^8.91*y + t^8.92*y | t^2.65/(g1^8*g2^8) + t^2.83/(g1^4*g2^4) + t^3. + (g2^12*t^3.08)/g1^4 + (g1^8*t^3.09)/g2^8 + g1^2*g2^2*t^3.09 + g1^4*g2^4*t^3.17 + t^4.21/(g1*g2^17) + t^4.28/(g1^5*g2^5) + (g2^7*t^4.36)/g1^9 + t^4.46/(g1*g2) + (g2^11*t^4.54)/g1^5 + (g1^7*t^4.55)/g2^9 + g1^3*g2^3*t^4.63 + (g2^15*t^4.71)/g1 + g1^7*g2^7*t^4.8 + (g1^15*t^4.9)/g2 + t^5.31/(g1^16*g2^16) + t^5.48/(g1^12*g2^12) + t^5.65/(g1^8*g2^8) + t^5.74/(g1^6*g2^6) + t^5.83/(g1^4*g2^4) + t^5.91/(g1^2*g2^2) - 2*t^6. + g1^2*g2^2*t^6.09 + (g2^14*t^6.16)/g1^2 + (g2^24*t^6.16)/g1^8 + g1^4*g2^4*t^6.17 + (g1^10*t^6.18)/g2^6 + (g1^16*t^6.19)/g2^16 + g1^6*g2^6*t^6.26 + t^6.86/(g1^9*g2^25) + t^6.94/(g1^13*g2^13) + t^7.02/(g1^17*g2) + t^7.03/(g1^5*g2^21) + t^7.11/(g1^9*g2^9) + (g2^3*t^7.19)/g1^13 + t^7.21/(g1*g2^17) + (2*t^7.28)/(g1^5*g2^5) + (g1^7*t^7.3)/g2^25 + (2*g2^7*t^7.36)/g1^9 + (g1^3*t^7.38)/g2^13 + (g2^19*t^7.44)/g1^13 + t^7.46/(g1*g2) + (2*g2^11*t^7.54)/g1^5 + (g1^7*t^7.55)/g2^9 + (g2^23*t^7.61)/g1^9 + g1^3*g2^3*t^7.63 + (g1^15*t^7.64)/g2^17 + (g2^15*t^7.71)/g1 + (g1^11*t^7.72)/g2^5 + (g2^27*t^7.79)/g1^5 + g1^7*g2^7*t^7.8 + g1^3*g2^19*t^7.88 + (g1^15*t^7.9)/g2 + t^7.96/(g1^24*g2^24) + g1^11*g2^11*t^7.97 + (g1^23*t^7.99)/g2^9 + g1^19*g2^3*t^8.07 + t^8.14/(g1^20*g2^20) + t^8.31/(g1^16*g2^16) + t^8.4/(g1^14*g2^14) + t^8.41/(g1^2*g2^34) + t^8.48/(g1^12*g2^12) + t^8.49/(g1^6*g2^22) + (2*t^8.57)/(g1^10*g2^10) - t^8.58/(g1^4*g2^20) - (2*t^8.65)/(g1^8*g2^8) + (g2^2*t^8.65)/g1^14 + t^8.66/(g1^2*g2^18) - (g2^4*t^8.73)/g1^12 + (g2^14*t^8.73)/g1^18 + (2*t^8.74)/(g1^6*g2^6) - t^8.75/g2^16 + (g1^6*t^8.76)/g2^26 + (g2^6*t^8.82)/g1^10 - (3*t^8.83)/(g1^4*g2^4) + (g1^2*t^8.84)/g2^14 + (g2^18*t^8.9)/g1^14 + (3*t^8.91)/(g1^2*g2^2) - (2*g2^8*t^8.91)/g1^8 - (g1^4*t^8.92)/g2^12 + (2*g2^10*t^8.99)/g1^6 - t^4.46/(g1*g2*y) - t^7.11/(g1^9*g2^9*y) + (g1^7*g2^7*t^7.8)/y + t^8.48/(g1^12*g2^12*y) + t^8.65/(g1^8*g2^8*y) + (g2^4*t^8.73)/(g1^12*y) + t^8.74/(g1^6*g2^6*y) + t^8.75/(g2^16*y) + (2*t^8.83)/(g1^4*g2^4*y) + t^8.91/(g1^2*g2^2*y) + (g2^8*t^8.91)/(g1^8*y) + (g1^4*t^8.92)/(g2^12*y) - (t^4.46*y)/(g1*g2) - (t^7.11*y)/(g1^9*g2^9) + g1^7*g2^7*t^7.8*y + (t^8.48*y)/(g1^12*g2^12) + (t^8.65*y)/(g1^8*g2^8) + (g2^4*t^8.73*y)/g1^12 + (t^8.74*y)/(g1^6*g2^6) + (t^8.75*y)/g2^16 + (2*t^8.83*y)/(g1^4*g2^4) + (t^8.91*y)/(g1^2*g2^2) + (g2^8*t^8.91*y)/g1^8 + (g1^4*t^8.92*y)/g2^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 828 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ M_4M_6$ | 0.7059 | 0.868 | 0.8133 | [X:[], M:[0.9254, 1.0373, 1.0, 1.0746, 0.8508, 0.9254], q:[0.4792, 0.5954], qb:[0.4462, 0.5538], phi:[0.4814]] | t^2.55 + 2*t^2.78 + t^3. + t^3.1 + t^3.11 + t^3.12 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.89 + t^5.02 + t^5.1 + 2*t^5.33 + 3*t^5.55 + t^5.66 + t^5.78 + t^5.88 + 2*t^5.89 + t^5.9 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 1874 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ \phi_1q_2\tilde{q}_2$ + $ M_5X_1$ | 0.5536 | 0.6786 | 0.8158 | [X:[1.5714], M:[0.7143, 1.1429, 1.0, 1.2857, 0.4286], q:[0.3929, 0.8929], qb:[0.3214, 0.6786], phi:[0.4286]] | t^2.14 + t^3. + 2*t^3.21 + 2*t^3.43 + 2*t^3.64 + t^3.86 + t^4.29 + t^4.71 + t^5.14 + 2*t^5.36 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | {a: 12153/21952, c: 14897/21952, X1: 11/7, M1: 5/7, M2: 8/7, M3: 1, M4: 9/7, M5: 3/7, q1: 11/28, q2: 25/28, qb1: 9/28, qb2: 19/28, phi1: 3/7} |
| 1875 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ | 0.6608 | 0.8195 | 0.8064 | [X:[], M:[0.8455, 1.0772, 1.0, 1.1545, 0.6911], q:[0.3852, 0.7693], qb:[0.4604, 0.5396], phi:[0.4614]] | t^2.07 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.7 + t^3.92 + 2*t^4.15 + t^4.16 + t^4.38 + t^4.61 + t^4.62 + t^4.85 + 2*t^5.07 + t^5.3 + t^5.31 + t^5.54 + t^5.55 + 2*t^5.77 + t^5.99 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 1876 | $M_1q_1q_2$ + $ 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_3^2$ + $ M_1M_4$ + $ \phi_1\tilde{q}_2^2$ | 0.5917 | 0.7504 | 0.7885 | [X:[], M:[0.8433, 1.0783, 1.0, 1.1567, 0.6867], q:[0.6129, 0.5438], qb:[0.2304, 0.7696], phi:[0.4608]] | t^2.06 + t^2.32 + t^2.53 + t^2.76 + t^3. + t^3.24 + t^3.47 + t^3.71 + t^3.91 + t^4.12 + t^4.15 + t^4.38 + t^4.59 + 2*t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.09 + 2*t^5.29 + t^5.32 + 3*t^5.53 + t^5.56 + 2*t^5.76 + t^5.97 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 337 | 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_3^2$ | 0.7289 | 0.8891 | 0.8198 | [X:[], M:[0.7491, 1.1255, 1.0, 0.8745, 0.8745], q:[0.6255, 0.6255], qb:[0.5, 0.5], phi:[0.4373]] | t^2.25 + 2*t^2.62 + t^3. + 3*t^3.38 + 3*t^4.31 + t^4.49 + 4*t^4.69 + 2*t^4.87 + 3*t^5.06 + 4*t^5.25 + t^5.62 - t^6. - t^4.31/y - t^4.31*y | detail |