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 |
|---|---|---|---|---|---|---|---|---|---|
| 1360 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ | 0.5988 | 0.7618 | 0.7861 | [X:[], M:[1.0, 0.8429, 0.6963, 0.7644, 1.1571, 1.2356], q:[0.7696, 0.2304], qb:[0.6126, 0.5445], phi:[0.4607]] | [X:[], M:[[0], [-8], [10], [-12], [8], [12]], q:[[1], [-1]], qb:[[-7], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_5$, $ M_6$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_1\phi_1^2$, $ M_3M_6$, $ M_5q_2\tilde{q}_2$ | . | -2 | t^2.09 + t^2.32 + t^2.53 + 2*t^2.76 + t^3. + t^3.47 + t^3.71 + t^3.94 + t^4.15 + t^4.18 + t^4.41 + t^4.62 + 2*t^4.65 + 3*t^4.85 + t^5.06 + 3*t^5.09 + 2*t^5.29 + t^5.32 + 4*t^5.53 + t^5.56 + t^5.76 + t^5.8 - 2*t^6. + 2*t^6.03 - t^6.2 + 2*t^6.24 + 2*t^6.27 - t^6.44 + 3*t^6.47 + t^6.5 + 2*t^6.71 + 2*t^6.74 + 3*t^6.94 + 2*t^6.97 + 4*t^7.18 + 6*t^7.41 + 4*t^7.62 + 3*t^7.65 + t^7.82 + 4*t^7.85 + t^7.88 + 3*t^8.06 - t^8.09 + 3*t^8.12 + 4*t^8.29 - t^8.32 + 4*t^8.36 - 3*t^8.53 + t^8.56 + 3*t^8.59 - 7*t^8.76 + 5*t^8.8 + 2*t^8.83 - 2*t^8.97 - t^4.38/y - t^6.47/y - t^7.15/y + t^7.41/y + (2*t^7.62)/y + (3*t^7.85)/y + (3*t^8.09)/y + (3*t^8.29)/y + t^8.32/y + (2*t^8.53)/y + (2*t^8.76)/y + (2*t^8.8)/y - t^4.38*y - t^6.47*y - t^7.15*y + t^7.41*y + 2*t^7.62*y + 3*t^7.85*y + 3*t^8.09*y + 3*t^8.29*y + t^8.32*y + 2*t^8.53*y + 2*t^8.76*y + 2*t^8.8*y | g1^10*t^2.09 + g1^14*t^2.32 + t^2.53/g1^8 + (2*t^2.76)/g1^4 + t^3. + g1^8*t^3.47 + g1^12*t^3.71 + g1^16*t^3.94 + t^4.15/g1^6 + g1^20*t^4.18 + g1^24*t^4.41 + g1^2*t^4.62 + 2*g1^28*t^4.65 + 3*g1^6*t^4.85 + t^5.06/g1^16 + 3*g1^10*t^5.09 + (2*t^5.29)/g1^12 + g1^14*t^5.32 + (4*t^5.53)/g1^8 + g1^18*t^5.56 + t^5.76/g1^4 + g1^22*t^5.8 - 2*t^6. + 2*g1^26*t^6.03 - t^6.2/g1^22 + 2*g1^4*t^6.24 + 2*g1^30*t^6.27 - t^6.44/g1^18 + 3*g1^8*t^6.47 + g1^34*t^6.5 + 2*g1^12*t^6.71 + 2*g1^38*t^6.74 + 3*g1^16*t^6.94 + 2*g1^42*t^6.97 + 4*g1^20*t^7.18 + 6*g1^24*t^7.41 + 4*g1^2*t^7.62 + 3*g1^28*t^7.65 + t^7.82/g1^20 + 4*g1^6*t^7.85 + g1^32*t^7.88 + (3*t^8.06)/g1^16 - g1^10*t^8.09 + 3*g1^36*t^8.12 + (4*t^8.29)/g1^12 - g1^14*t^8.32 + 4*g1^40*t^8.36 - (3*t^8.53)/g1^8 + g1^18*t^8.56 + 3*g1^44*t^8.59 - (7*t^8.76)/g1^4 + 5*g1^22*t^8.8 + 2*g1^48*t^8.83 - (2*t^8.97)/g1^26 - t^4.38/(g1^2*y) - (g1^8*t^6.47)/y - t^7.15/(g1^6*y) + (g1^24*t^7.41)/y + (2*g1^2*t^7.62)/y + (3*g1^6*t^7.85)/y + (3*g1^10*t^8.09)/y + (3*t^8.29)/(g1^12*y) + (g1^14*t^8.32)/y + (2*t^8.53)/(g1^8*y) + (2*t^8.76)/(g1^4*y) + (2*g1^22*t^8.8)/y - (t^4.38*y)/g1^2 - g1^8*t^6.47*y - (t^7.15*y)/g1^6 + g1^24*t^7.41*y + 2*g1^2*t^7.62*y + 3*g1^6*t^7.85*y + 3*g1^10*t^8.09*y + (3*t^8.29*y)/g1^12 + g1^14*t^8.32*y + (2*t^8.53*y)/g1^8 + (2*t^8.76*y)/g1^4 + 2*g1^22*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 2403 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_7$ | 0.5782 | 0.722 | 0.8009 | [X:[], M:[1.0, 0.8399, 0.7001, 0.7599, 1.1601, 1.2401, 1.2999], q:[0.77, 0.23], qb:[0.6099, 0.5501], phi:[0.46]] | t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^3.9 + t^3.96 + t^4.14 + 2*t^4.68 + t^4.86 + t^5.04 + 2*t^5.1 + 2*t^5.28 + t^5.34 + 4*t^5.52 + t^5.76 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 2399 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_5M_7$ | 0.6128 | 0.7847 | 0.781 | [X:[], M:[1.0, 0.8333, 0.7083, 0.75, 1.1667, 1.25, 0.8333], q:[0.7708, 0.2292], qb:[0.6042, 0.5625], phi:[0.4583]] | t^2.12 + t^2.38 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.12 + t^4.25 + t^4.5 + 2*t^4.62 + 2*t^4.75 + 4*t^4.88 + 3*t^5. + 3*t^5.12 + 4*t^5.25 + t^5.38 + 5*t^5.5 + t^5.75 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 1255/2048, c: 1607/2048, M1: 1, M2: 5/6, M3: 17/24, M4: 3/4, M5: 7/6, M6: 5/4, M7: 5/6, q1: 37/48, q2: 11/48, qb1: 29/48, qb2: 9/16, phi1: 11/24} |
| 2401 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6196 | 0.8021 | 0.7724 | [X:[], M:[1.0, 0.8407, 0.6991, 0.7611, 1.1593, 1.2389, 0.6815], q:[0.7699, 0.2301], qb:[0.6106, 0.5486], phi:[0.4602]] | t^2.04 + t^2.1 + t^2.34 + t^2.52 + 2*t^2.76 + t^3. + t^3.48 + t^3.72 + t^4.09 + 2*t^4.14 + t^4.19 + t^4.38 + t^4.43 + t^4.57 + t^4.62 + 2*t^4.67 + 2*t^4.81 + 3*t^4.86 + 2*t^5.04 + 3*t^5.1 + 2*t^5.28 + t^5.34 + 5*t^5.52 + t^5.58 + 2*t^5.76 + t^5.81 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 867 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ | 0.6175 | 0.7947 | 0.7771 | [X:[], M:[1.0, 0.8344, 0.707, 0.7516, 1.1656], q:[0.7707, 0.2293], qb:[0.6051, 0.5605], phi:[0.4586]] | t^2.12 + t^2.25 + t^2.37 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.99 + t^4.13 + t^4.24 + t^4.38 + t^4.49 + t^4.51 + 2*t^4.62 + 2*t^4.74 + t^4.76 + 3*t^4.87 + 3*t^5.01 + 3*t^5.12 + 3*t^5.25 + t^5.37 + 4*t^5.5 + t^5.62 + 2*t^5.75 - 2*t^6. - t^4.38/y - t^4.38*y | detail |