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 |
|---|---|---|---|---|---|---|---|---|---|
| 1876 | 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$ + $ \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]] | [X:[], M:[[-8], [4], [0], [8], [-16]], q:[[-7], [15]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_1$, $ \phi_1\tilde{q}_1^2$, $ M_3$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ M_2M_5$, $ M_1\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ \phi_1^2\tilde{q}_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_1M_2$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_1\tilde{q}_1$ | . | -1 | 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^6.03 + t^6.18 + 2*t^6.24 + t^6.44 + 2*t^6.47 + t^6.65 + t^6.68 + 2*t^6.71 + t^6.88 + t^6.91 + 2*t^6.97 + 2*t^7.12 + t^7.15 + t^7.18 + 2*t^7.35 + t^7.38 + 2*t^7.41 + 3*t^7.59 + t^7.62 + t^7.65 + 3*t^7.82 + t^7.85 + t^7.88 + t^8.03 + t^8.06 + t^8.09 + t^8.12 + t^8.24 + 4*t^8.29 - 2*t^8.32 + 2*t^8.35 + t^8.5 + t^8.56 + t^8.71 + t^8.74 + 2*t^8.79 + t^8.94 + t^8.97 - t^4.38/y - t^6.44/y + t^7.38/y + t^7.59/y + t^7.82/y + t^7.85/y + t^8.06/y + t^8.09/y + (2*t^8.29)/y + (2*t^8.32)/y - t^8.5/y + (2*t^8.53)/y + t^8.56/y + (3*t^8.76)/y + t^8.79/y + t^8.97/y - t^4.38*y - t^6.44*y + t^7.38*y + t^7.59*y + t^7.82*y + t^7.85*y + t^8.06*y + t^8.09*y + 2*t^8.29*y + 2*t^8.32*y - t^8.5*y + 2*t^8.53*y + t^8.56*y + 3*t^8.76*y + t^8.79*y + t^8.97*y | t^2.06/g1^16 + g1^14*t^2.32 + t^2.53/g1^8 + t^2.76/g1^4 + t^3. + g1^4*t^3.24 + g1^8*t^3.47 + g1^12*t^3.71 + t^3.91/g1^10 + t^4.12/g1^32 + t^4.15/g1^6 + t^4.38/g1^2 + t^4.59/g1^24 + 2*g1^28*t^4.65 + t^4.82/g1^20 + g1^6*t^4.85 + (2*t^5.06)/g1^16 + g1^10*t^5.09 + (2*t^5.29)/g1^12 + g1^14*t^5.32 + (3*t^5.53)/g1^8 + g1^18*t^5.56 + (2*t^5.76)/g1^4 + t^5.97/g1^26 - t^6. + g1^26*t^6.03 + t^6.18/g1^48 + 2*g1^4*t^6.24 + t^6.44/g1^18 + 2*g1^8*t^6.47 + t^6.65/g1^40 + t^6.68/g1^14 + 2*g1^12*t^6.71 + t^6.88/g1^36 + t^6.91/g1^10 + 2*g1^42*t^6.97 + (2*t^7.12)/g1^32 + t^7.15/g1^6 + g1^20*t^7.18 + (2*t^7.35)/g1^28 + t^7.38/g1^2 + 2*g1^24*t^7.41 + (3*t^7.59)/g1^24 + g1^2*t^7.62 + g1^28*t^7.65 + (3*t^7.82)/g1^20 + g1^6*t^7.85 + g1^32*t^7.88 + t^8.03/g1^42 + t^8.06/g1^16 + g1^10*t^8.09 + g1^36*t^8.12 + t^8.24/g1^64 + (4*t^8.29)/g1^12 - 2*g1^14*t^8.32 + 2*g1^40*t^8.35 + t^8.5/g1^34 + g1^18*t^8.56 + t^8.71/g1^56 + t^8.74/g1^30 + 2*g1^22*t^8.79 + t^8.94/g1^52 + t^8.97/g1^26 - t^4.38/(g1^2*y) - t^6.44/(g1^18*y) + t^7.38/(g1^2*y) + t^7.59/(g1^24*y) + t^7.82/(g1^20*y) + (g1^6*t^7.85)/y + t^8.06/(g1^16*y) + (g1^10*t^8.09)/y + (2*t^8.29)/(g1^12*y) + (2*g1^14*t^8.32)/y - t^8.5/(g1^34*y) + (2*t^8.53)/(g1^8*y) + (g1^18*t^8.56)/y + (3*t^8.76)/(g1^4*y) + (g1^22*t^8.79)/y + t^8.97/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.44*y)/g1^18 + (t^7.38*y)/g1^2 + (t^7.59*y)/g1^24 + (t^7.82*y)/g1^20 + g1^6*t^7.85*y + (t^8.06*y)/g1^16 + g1^10*t^8.09*y + (2*t^8.29*y)/g1^12 + 2*g1^14*t^8.32*y - (t^8.5*y)/g1^34 + (2*t^8.53*y)/g1^8 + g1^18*t^8.56*y + (3*t^8.76*y)/g1^4 + g1^22*t^8.79*y + (t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 2886 | $M_1q_1q_2$ + $ 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$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.5917 | 0.7503 | 0.7886 | [X:[], M:[0.8462, 1.0769, 1.0, 1.1538, 0.6923], q:[0.6154, 0.5385], qb:[0.2308, 0.7692], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + 2*t^4.85 + 3*t^5.08 + 3*t^5.31 + 4*t^5.54 + 2*t^5.77 + t^6. - t^4.38/y - t^4.38*y | detail | {a: 20799/35152, c: 3297/4394, M1: 11/13, M2: 14/13, M3: 1, M4: 15/13, M5: 9/13, q1: 8/13, q2: 7/13, qb1: 3/13, qb2: 10/13, phi1: 6/13} |
| 2889 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6123 | 0.7902 | 0.7749 | [X:[], M:[0.8454, 1.0773, 1.0, 1.1546, 0.6908, 0.6933], q:[0.6147, 0.5399], qb:[0.2307, 0.7693], phi:[0.4613]] | t^2.07 + t^2.08 + t^2.31 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.7 + t^4.14 + 2*t^4.15 + t^4.16 + t^4.38 + t^4.39 + t^4.61 + 3*t^4.62 + t^4.84 + 2*t^4.85 + 2*t^5.07 + 2*t^5.08 + 2*t^5.3 + 2*t^5.31 + 5*t^5.54 + 2*t^5.77 + t^5.78 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 2887 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.6104 | 0.7846 | 0.778 | [X:[], M:[0.836, 1.082, 1.0, 1.164, 0.6719, 0.7539], q:[0.6065, 0.5576], qb:[0.2295, 0.7705], phi:[0.459]] | t^2.02 + t^2.26 + t^2.36 + t^2.51 + t^2.75 + t^3. + t^3.25 + t^3.49 + t^3.88 + t^4.03 + t^4.13 + t^4.28 + t^4.38 + 2*t^4.52 + t^4.62 + 2*t^4.72 + 2*t^4.77 + t^4.87 + 3*t^5.02 + t^5.12 + 3*t^5.26 + t^5.36 + 4*t^5.51 + t^5.61 + 2*t^5.75 + t^5.9 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 2888 | $M_1q_1q_2$ + $ 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$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.5846 | 0.7385 | 0.7916 | [X:[], M:[0.8484, 1.0758, 1.0, 1.1516, 0.6968, 1.0758], q:[0.6174, 0.5342], qb:[0.2311, 0.7689], phi:[0.4621]] | t^2.09 + t^2.3 + t^2.55 + t^3. + 2*t^3.23 + t^3.45 + t^3.68 + t^3.93 + t^4.16 + t^4.18 + t^4.39 + 2*t^4.59 + t^4.64 + t^4.84 + 2*t^5.09 + t^5.3 + 2*t^5.32 + 2*t^5.52 + 2*t^5.55 + 2*t^5.77 + t^5.98 - 2*t^6. - t^4.39/y - t^4.39*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.46/y - t^4.46*y | detail |