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 |
|---|---|---|---|---|---|---|---|---|---|
| 2889 | 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$ + $ 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]] | [X:[], M:[[-8], [4], [0], [8], [-16], [10]], q:[[-7], [15]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ 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$, $ M_5^2$, $ M_5M_6$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_1M_5$, $ M_1M_6$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_1^2$, $ M_3M_6$, $ \phi_1q_2\tilde{q}_1^3$, $ M_2M_5$, $ M_1\phi_1\tilde{q}_1^2$, $ M_2M_6$, $ \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_4M_6$, $ M_2q_2\tilde{q}_1$, $ M_1M_2$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$ | . | -1 | 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^6.01 + 2*t^6.22 + 3*t^6.23 + t^6.24 + 3*t^6.46 + t^6.47 + t^6.68 + t^6.69 + 5*t^6.7 + t^6.91 + t^6.92 + 2*t^6.93 + 2*t^6.94 + 2*t^7.14 + 2*t^7.15 + 3*t^7.16 + 4*t^7.38 + 4*t^7.39 + 3*t^7.61 + 6*t^7.62 + 2*t^7.84 + 3*t^7.85 + 2*t^7.86 + 2*t^8.09 + t^8.29 + 5*t^8.3 + t^8.31 + 3*t^8.32 + 2*t^8.54 + t^8.55 + t^8.75 + t^8.76 + 7*t^8.78 + t^8.98 - t^4.38/y - (2*t^6.46)/y + t^7.15/y + t^7.38/y + t^7.39/y + t^7.61/y + t^7.62/y + t^7.84/y + (2*t^7.85)/y + t^8.07/y + (2*t^8.08)/y + (3*t^8.3)/y + (3*t^8.31)/y - t^8.53/y + (2*t^8.54)/y + (3*t^8.77)/y + (2*t^8.78)/y - t^4.38*y - 2*t^6.46*y + t^7.15*y + t^7.38*y + t^7.39*y + t^7.61*y + t^7.62*y + t^7.84*y + 2*t^7.85*y + t^8.07*y + 2*t^8.08*y + 3*t^8.3*y + 3*t^8.31*y - t^8.53*y + 2*t^8.54*y + 3*t^8.77*y + 2*t^8.78*y | t^2.07/g1^16 + g1^10*t^2.08 + g1^14*t^2.31 + t^2.54/g1^8 + t^2.77/g1^4 + t^3. + g1^4*t^3.23 + g1^8*t^3.46 + g1^12*t^3.7 + t^4.14/g1^32 + (2*t^4.15)/g1^6 + g1^20*t^4.16 + t^4.38/g1^2 + g1^24*t^4.39 + t^4.61/g1^24 + g1^2*t^4.62 + 2*g1^28*t^4.62 + t^4.84/g1^20 + 2*g1^6*t^4.85 + (2*t^5.07)/g1^16 + 2*g1^10*t^5.08 + (2*t^5.3)/g1^12 + 2*g1^14*t^5.31 + (3*t^5.54)/g1^8 + 2*g1^18*t^5.54 + (2*t^5.77)/g1^4 + g1^22*t^5.78 - t^6. + g1^26*t^6.01 + t^6.22/g1^48 + t^6.22/g1^22 + 3*g1^4*t^6.23 + g1^30*t^6.24 + 3*g1^8*t^6.46 + g1^34*t^6.47 + t^6.68/g1^40 + t^6.69/g1^14 + 3*g1^12*t^6.7 + 2*g1^38*t^6.7 + t^6.91/g1^36 + t^6.92/g1^10 + 2*g1^16*t^6.93 + 2*g1^42*t^6.94 + (2*t^7.14)/g1^32 + (2*t^7.15)/g1^6 + 3*g1^20*t^7.16 + (2*t^7.38)/g1^28 + (2*t^7.38)/g1^2 + 4*g1^24*t^7.39 + (3*t^7.61)/g1^24 + 3*g1^2*t^7.62 + 3*g1^28*t^7.62 + (2*t^7.84)/g1^20 + 3*g1^6*t^7.85 + 2*g1^32*t^7.86 + 2*g1^36*t^8.09 + t^8.29/g1^64 + t^8.3/g1^38 + (4*t^8.3)/g1^12 + g1^14*t^8.31 + 3*g1^40*t^8.32 + 2*g1^18*t^8.54 + g1^44*t^8.55 + t^8.75/g1^56 + t^8.76/g1^30 + 5*g1^22*t^8.78 + 2*g1^48*t^8.78 + t^8.98/g1^52 - t^4.38/(g1^2*y) - t^6.46/(g1^18*y) - (g1^8*t^6.46)/y + t^7.15/(g1^6*y) + t^7.38/(g1^2*y) + (g1^24*t^7.39)/y + t^7.61/(g1^24*y) + (g1^2*t^7.62)/y + t^7.84/(g1^20*y) + (2*g1^6*t^7.85)/y + t^8.07/(g1^16*y) + (2*g1^10*t^8.08)/y + (3*t^8.3)/(g1^12*y) + (3*g1^14*t^8.31)/y - t^8.53/(g1^34*y) + t^8.54/(g1^8*y) + (g1^18*t^8.54)/y + (3*t^8.77)/(g1^4*y) + (2*g1^22*t^8.78)/y - (t^4.38*y)/g1^2 - (t^6.46*y)/g1^18 - g1^8*t^6.46*y + (t^7.15*y)/g1^6 + (t^7.38*y)/g1^2 + g1^24*t^7.39*y + (t^7.61*y)/g1^24 + g1^2*t^7.62*y + (t^7.84*y)/g1^20 + 2*g1^6*t^7.85*y + (t^8.07*y)/g1^16 + 2*g1^10*t^8.08*y + (3*t^8.3*y)/g1^12 + 3*g1^14*t^8.31*y - (t^8.53*y)/g1^34 + (t^8.54*y)/g1^8 + g1^18*t^8.54*y + (3*t^8.77*y)/g1^4 + 2*g1^22*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 3459 | $M_1q_1q_2$ + $ 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$ + $ M_4M_7$ | 0.6261 | 0.8136 | 0.7695 | [X:[], M:[0.8379, 1.0811, 1.0, 1.1621, 0.6757, 0.7027, 0.8379], q:[0.6081, 0.554], qb:[0.2297, 0.7703], phi:[0.4595]] | t^2.03 + t^2.11 + t^2.35 + 2*t^2.51 + t^2.76 + t^3. + t^3.24 + t^3.73 + t^4.05 + 2*t^4.14 + t^4.22 + t^4.38 + t^4.46 + 2*t^4.54 + 2*t^4.62 + 2*t^4.7 + t^4.78 + 3*t^4.86 + 4*t^5.03 + 2*t^5.11 + 3*t^5.27 + 2*t^5.35 + 3*t^5.51 + t^5.59 + 3*t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 3460 | $M_1q_1q_2$ + $ 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$ + $ M_4q_2\tilde{q}_1$ + $ M_5X_1$ | 0.5883 | 0.7417 | 0.7932 | [X:[1.3636], M:[0.8182, 1.0909, 1.0, 1.1818, 0.6364, 0.7273], q:[0.5909, 0.5909], qb:[0.2273, 0.7727], phi:[0.4545]] | t^2.18 + 2*t^2.45 + t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + 2*t^4.64 + 5*t^4.91 + 3*t^5.18 + 4*t^5.45 + 3*t^5.73 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 783/1331, c: 15795/21296, X1: 15/11, M1: 9/11, M2: 12/11, M3: 1, M4: 13/11, M5: 7/11, M6: 8/11, q1: 13/22, q2: 13/22, qb1: 5/22, qb2: 17/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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 |