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 |
|---|---|---|---|---|---|---|---|---|---|
| 47055 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ | 0.5846 | 0.7385 | 0.7916 | [X:[1.3863], M:[0.6137, 0.6968, 1.0, 1.0758, 1.0758], q:[0.7689, 0.6174], qb:[0.5342, 0.2311], phi:[0.4621]] | [X:[[6]], M:[[-6], [16], [0], [-4], [-4]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_3$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | . | -2 | 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^6.02 + 2*t^6.23 + t^6.27 + 3*t^6.45 + t^6.48 + 3*t^6.68 + t^6.73 + 2*t^6.89 + t^6.91 + t^7.14 + t^7.16 + 2*t^7.18 + 2*t^7.39 + 2*t^7.41 + t^7.59 + t^7.61 + 2*t^7.64 + 3*t^7.82 + 2*t^7.86 + t^8.05 + t^8.07 - t^8.09 + t^8.11 + 2*t^8.27 - 3*t^8.3 + 3*t^8.32 + t^8.36 + 2*t^8.52 + t^8.57 + 3*t^8.75 + 3*t^8.77 + t^8.82 + t^8.98 - t^4.39/y - t^6.48/y + t^7.16/y + t^7.39/y - t^7.61/y + t^7.64/y + t^7.84/y + t^8.09/y + (2*t^8.3)/y + (2*t^8.32)/y + (2*t^8.52)/y + (2*t^8.55)/y - t^8.57/y + t^8.75/y + (3*t^8.77)/y + t^8.98/y - t^4.39*y - t^6.48*y + t^7.16*y + t^7.39*y - t^7.61*y + t^7.64*y + t^7.84*y + t^8.09*y + 2*t^8.3*y + 2*t^8.32*y + 2*t^8.52*y + 2*t^8.55*y - t^8.57*y + t^8.75*y + 3*t^8.77*y + t^8.98*y | g1^16*t^2.09 + t^2.3/g1^14 + g1^8*t^2.55 + t^3. + (2*t^3.23)/g1^4 + t^3.45/g1^8 + t^3.68/g1^12 + g1^10*t^3.93 + g1^6*t^4.16 + g1^32*t^4.18 + g1^2*t^4.39 + (2*t^4.59)/g1^28 + g1^24*t^4.64 + t^4.84/g1^6 + 2*g1^16*t^5.09 + t^5.3/g1^14 + 2*g1^12*t^5.32 + (2*t^5.52)/g1^18 + 2*g1^8*t^5.55 + 2*g1^4*t^5.77 + t^5.98/g1^26 - 2*t^6. + g1^26*t^6.02 + (2*t^6.23)/g1^4 + g1^48*t^6.27 + (3*t^6.45)/g1^8 + g1^18*t^6.48 + (3*t^6.68)/g1^12 + g1^40*t^6.73 + (2*t^6.89)/g1^42 + t^6.91/g1^16 + t^7.14/g1^20 + g1^6*t^7.16 + 2*g1^32*t^7.18 + 2*g1^2*t^7.39 + 2*g1^28*t^7.41 + t^7.59/g1^28 + t^7.61/g1^2 + 2*g1^24*t^7.64 + (3*t^7.82)/g1^32 + 2*g1^20*t^7.86 + t^8.05/g1^36 + t^8.07/g1^10 - g1^16*t^8.09 + g1^42*t^8.11 + (2*t^8.27)/g1^40 - (3*t^8.3)/g1^14 + 3*g1^12*t^8.32 + g1^64*t^8.36 + (2*t^8.52)/g1^18 + g1^34*t^8.57 + (3*t^8.75)/g1^22 + 3*g1^4*t^8.77 + g1^56*t^8.82 + t^8.98/g1^26 - (g1^2*t^4.39)/y - (g1^18*t^6.48)/y + (g1^6*t^7.16)/y + (g1^2*t^7.39)/y - t^7.61/(g1^2*y) + (g1^24*t^7.64)/y + t^7.84/(g1^6*y) + (g1^16*t^8.09)/y + (2*t^8.3)/(g1^14*y) + (2*g1^12*t^8.32)/y + (2*t^8.52)/(g1^18*y) + (2*g1^8*t^8.55)/y - (g1^34*t^8.57)/y + t^8.75/(g1^22*y) + (3*g1^4*t^8.77)/y + t^8.98/(g1^26*y) - g1^2*t^4.39*y - g1^18*t^6.48*y + g1^6*t^7.16*y + g1^2*t^7.39*y - (t^7.61*y)/g1^2 + g1^24*t^7.64*y + (t^7.84*y)/g1^6 + g1^16*t^8.09*y + (2*t^8.3*y)/g1^14 + 2*g1^12*t^8.32*y + (2*t^8.52*y)/g1^18 + 2*g1^8*t^8.55*y - g1^34*t^8.57*y + (t^8.75*y)/g1^22 + 3*g1^4*t^8.77*y + (t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 55370 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_2M_6$ | 0.5641 | 0.6997 | 0.8062 | [X:[1.3899], M:[0.6101, 0.7065, 1.0, 1.0734, 1.0734, 1.2935], q:[0.7683, 0.6216], qb:[0.5252, 0.2317], phi:[0.4633]] | t^2.27 + t^2.56 + t^3. + 2*t^3.22 + t^3.44 + t^3.66 + t^3.88 + t^3.95 + t^4.17 + 2*t^4.54 + t^4.83 + t^5.12 + t^5.27 + 2*t^5.49 + t^5.56 + t^5.78 + t^5.93 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 50909 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6029 | 0.7716 | 0.7814 | [X:[1.3804], M:[0.6196, 0.6811, 1.0, 1.0797, 1.0797, 0.7608], q:[0.7699, 0.6105], qb:[0.5489, 0.2301], phi:[0.4601]] | t^2.04 + t^2.28 + t^2.34 + t^2.52 + t^3. + 2*t^3.24 + t^3.48 + t^3.9 + t^4.09 + t^4.14 + t^4.33 + t^4.38 + 2*t^4.57 + t^4.62 + 2*t^4.67 + t^4.8 + t^4.86 + 2*t^5.04 + 3*t^5.28 + t^5.34 + 4*t^5.52 + 2*t^5.58 + 2*t^5.76 + t^5.95 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 50781 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 0.5846 | 0.7385 | 0.7917 | [X:[1.3846], M:[0.6154, 0.6923, 1.0, 1.0769, 1.0769], q:[0.7692, 0.6154], qb:[0.5385, 0.2308], phi:[0.4615]] | t^2.08 + t^2.31 + t^2.54 + t^3. + 2*t^3.23 + t^3.46 + t^3.69 + t^3.92 + 2*t^4.15 + t^4.38 + 3*t^4.62 + t^4.85 + 2*t^5.08 + 3*t^5.31 + 4*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 10275/17576, c: 12979/17576, X1: 18/13, M1: 8/13, M2: 9/13, M3: 1, M4: 14/13, M5: 14/13, q1: 10/13, q2: 8/13, qb1: 7/13, qb2: 3/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46506 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.5917 | 0.7504 | 0.7885 | [X:[1.3825], M:[0.6175, 0.6867, 1.0, 1.0783], q:[0.7696, 0.6129], qb:[0.5438, 0.2304], 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 |