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 |
|---|---|---|---|---|---|---|---|---|---|
| 55470 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ + $ M_7\phi_1q_1^2$ | 0.7297 | 0.9109 | 0.8011 | [X:[], M:[1.0, 1.0, 0.899, 0.899, 1.0505, 0.9495, 0.6767], q:[0.4243, 0.5757], qb:[0.5757, 0.5252], phi:[0.4748]] | [X:[], M:[[1, -3], [-1, 3], [-1, -1], [1, -7], [0, 2], [0, -2], [0, 7]], q:[[0, -3], [-1, 6]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_3$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_2$, $ q_2\tilde{q}_1$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_7$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1M_7$, $ M_2M_7$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_7q_2\tilde{q}_1$, $ M_4M_6$, $ M_4\phi_1^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_2M_3$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_2M_6$, $ M_2\phi_1^2$ | $M_1^2$, $ M_2^2$ | -3 | t^2.03 + 2*t^2.7 + 2*t^2.85 + 2*t^3. + t^3.45 + t^4.06 + t^4.27 + 2*t^4.42 + t^4.58 + 4*t^4.73 + 5*t^4.88 + 2*t^5.03 + 3*t^5.39 + t^5.48 + 2*t^5.55 + 6*t^5.7 + 2*t^5.85 - 3*t^6. + t^6.09 + t^6.3 + 2*t^6.45 + t^6.61 + 4*t^6.76 + 6*t^6.91 + 2*t^7.06 + 4*t^7.12 + 4*t^7.27 + 6*t^7.42 + t^7.51 + 8*t^7.58 + 10*t^7.73 + 4*t^7.88 - 6*t^8.03 + 4*t^8.09 + t^8.12 + 2*t^8.24 + 4*t^8.33 + 6*t^8.39 + 2*t^8.48 + 5*t^8.55 + t^8.64 - 4*t^8.7 + 4*t^8.79 - 6*t^8.85 + 6*t^8.94 - t^4.42/y - t^6.45/y - (2*t^7.12)/y - t^7.27/y + t^7.58/y + (4*t^7.73)/y + (2*t^7.88)/y + (2*t^8.03)/y + (2*t^8.39)/y + (4*t^8.55)/y + (5*t^8.7)/y + (4*t^8.85)/y - t^4.42*y - t^6.45*y - 2*t^7.12*y - t^7.27*y + t^7.58*y + 4*t^7.73*y + 2*t^7.88*y + 2*t^8.03*y + 2*t^8.39*y + 4*t^8.55*y + 5*t^8.7*y + 4*t^8.85*y | g2^7*t^2.03 + (g1*t^2.7)/g2^7 + t^2.7/(g1*g2) + (2*t^2.85)/g2^2 + (g1*t^3.)/g2^3 + (g2^3*t^3.)/g1 + g2^6*t^3.45 + g2^14*t^4.06 + t^4.27/g2^3 + (g1*t^4.42)/g2^4 + (g2^2*t^4.42)/g1 + g2*t^4.58 + 2*g1*t^4.73 + (2*g2^6*t^4.73)/g1 + (g1^2*t^4.88)/g2 + 3*g2^5*t^4.88 + (g2^11*t^4.88)/g1^2 + g1*g2^4*t^5.03 + (g2^10*t^5.03)/g1 + (g1^2*t^5.39)/g2^14 + t^5.39/g2^8 + t^5.39/(g1^2*g2^2) + g2^13*t^5.48 + (g1*t^5.55)/g2^9 + t^5.55/(g1*g2^3) + (g1^2*t^5.7)/g2^10 + (4*t^5.7)/g2^4 + (g2^2*t^5.7)/g1^2 + (g1*t^5.85)/g2^5 + (g2*t^5.85)/g1 - 3*t^6. + g2^21*t^6.09 + g2^4*t^6.3 + g1*g2^3*t^6.45 + (g2^9*t^6.45)/g1 + g2^8*t^6.61 + 2*g1*g2^7*t^6.76 + (2*g2^13*t^6.76)/g1 + g1^2*g2^6*t^6.91 + 4*g2^12*t^6.91 + (g2^18*t^6.91)/g1^2 + g1*g2^11*t^7.06 + (g2^17*t^7.06)/g1 + (g1^2*t^7.12)/g2^11 + (2*t^7.12)/g2^5 + (g2*t^7.12)/g1^2 + (2*t^7.27)/g1 + (2*g1*t^7.27)/g2^6 + (2*g1^2*t^7.42)/g2^7 + (2*t^7.42)/g2 + (2*g2^5*t^7.42)/g1^2 + g2^20*t^7.51 + (g1^3*t^7.58)/g2^8 + (3*g1*t^7.58)/g2^2 + (3*g2^4*t^7.58)/g1 + (g2^10*t^7.58)/g1^3 + (3*g1^2*t^7.73)/g2^3 + 4*g2^3*t^7.73 + (3*g2^9*t^7.73)/g1^2 + (g1^3*t^7.88)/g2^4 + g1*g2^2*t^7.88 + (g2^8*t^7.88)/g1 + (g2^14*t^7.88)/g1^3 - g1^2*g2*t^8.03 - 4*g2^7*t^8.03 - (g2^13*t^8.03)/g1^2 + (g1^3*t^8.09)/g2^21 + (g1*t^8.09)/g2^15 + t^8.09/(g1*g2^9) + t^8.09/(g1^3*g2^3) + g2^28*t^8.12 + (g1^2*t^8.24)/g2^16 + t^8.24/(g1^2*g2^4) + g1^2*g2^5*t^8.33 + 2*g2^11*t^8.33 + (g2^17*t^8.33)/g1^2 + (g1^3*t^8.39)/g2^17 + (2*g1*t^8.39)/g2^11 + (2*t^8.39)/(g1*g2^5) + (g2*t^8.39)/g1^3 + g1*g2^10*t^8.48 + (g2^16*t^8.48)/g1 + t^8.55/g1^2 + (g1^2*t^8.55)/g2^12 + (3*t^8.55)/g2^6 + g2^15*t^8.64 - (2*g1*t^8.7)/g2^7 - (2*t^8.7)/(g1*g2) + 2*g1*g2^14*t^8.79 + (2*g2^20*t^8.79)/g1 - (6*t^8.85)/g2^2 + g1^2*g2^13*t^8.94 + 4*g2^19*t^8.94 + (g2^25*t^8.94)/g1^2 - t^4.42/(g2*y) - (g2^6*t^6.45)/y - (g1*t^7.12)/(g2^8*y) - t^7.12/(g1*g2^2*y) - t^7.27/(g2^3*y) + (g2*t^7.58)/y + (2*g1*t^7.73)/y + (2*g2^6*t^7.73)/(g1*y) + (2*g2^5*t^7.88)/y + (g1*g2^4*t^8.03)/y + (g2^10*t^8.03)/(g1*y) + (2*t^8.39)/(g2^8*y) + (2*g1*t^8.55)/(g2^9*y) + (2*t^8.55)/(g1*g2^3*y) + (g1^2*t^8.7)/(g2^10*y) + (3*t^8.7)/(g2^4*y) + (g2^2*t^8.7)/(g1^2*y) + (2*g1*t^8.85)/(g2^5*y) + (2*g2*t^8.85)/(g1*y) - (t^4.42*y)/g2 - g2^6*t^6.45*y - (g1*t^7.12*y)/g2^8 - (t^7.12*y)/(g1*g2^2) - (t^7.27*y)/g2^3 + g2*t^7.58*y + 2*g1*t^7.73*y + (2*g2^6*t^7.73*y)/g1 + 2*g2^5*t^7.88*y + g1*g2^4*t^8.03*y + (g2^10*t^8.03*y)/g1 + (2*t^8.39*y)/g2^8 + (2*g1*t^8.55*y)/g2^9 + (2*t^8.55*y)/(g1*g2^3) + (g1^2*t^8.7*y)/g2^10 + (3*t^8.7*y)/g2^4 + (g2^2*t^8.7*y)/g1^2 + (2*g1*t^8.85*y)/g2^5 + (2*g2*t^8.85*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57043 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ + $ M_7\phi_1q_1^2$ + $ M_1M_7$ | 0.6768 | 0.8502 | 0.796 | [X:[], M:[1.1059, 0.8941, 0.6689, 0.8807, 1.1126, 0.8874, 0.8941], q:[0.3311, 0.563], qb:[0.7748, 0.5563], phi:[0.4437]] | t^2.01 + t^2.64 + 2*t^2.66 + 2*t^2.68 + t^3.32 + t^3.99 + 3*t^4.01 + 2*t^4.65 + 2*t^4.67 + 3*t^4.69 + t^4.71 + t^5.28 + t^5.3 + 6*t^5.32 + 4*t^5.34 + 2*t^5.36 + t^5.96 + 2*t^5.98 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 57045 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ + $ M_7\phi_1q_1^2$ + $ M_7q_2\tilde{q}_1$ | 0.7229 | 0.9008 | 0.8025 | [X:[], M:[1.0, 1.0, 0.8462, 0.8462, 1.0769, 0.9231, 0.7692], q:[0.3846, 0.6154], qb:[0.6154, 0.5385], phi:[0.4615]] | t^2.31 + 2*t^2.54 + 2*t^2.77 + 2*t^3. + t^3.69 + t^4.15 + 2*t^4.38 + 2*t^4.62 + 4*t^4.85 + 8*t^5.08 + 4*t^5.31 + 6*t^5.54 + 2*t^5.77 - 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 25413/35152, c: 15833/17576, M1: 1, M2: 1, M3: 11/13, M4: 11/13, M5: 14/13, M6: 12/13, M7: 10/13, q1: 5/13, q2: 8/13, qb1: 8/13, qb2: 7/13, phi1: 6/13} |
| 57035 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ + $ M_7\phi_1q_1^2$ + $ M_7^2$ | 0.6522 | 0.8218 | 0.7936 | [X:[], M:[1.0, 1.0, 0.7143, 0.7143, 1.1429, 0.8571, 1.0], q:[0.2857, 0.7143], qb:[0.7143, 0.5714], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + 3*t^3. + t^3.86 + 6*t^4.29 + 3*t^4.71 + 10*t^5.14 + 7*t^5.57 - t^4.29/y - t^4.29*y | detail | {a: 3579/5488, c: 2255/2744, M1: 1, M2: 1, M3: 5/7, M4: 5/7, M5: 8/7, M6: 6/7, M7: 1, q1: 2/7, q2: 5/7, qb1: 5/7, qb2: 4/7, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47125 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_5M_6$ + $ M_1M_2$ | 0.7089 | 0.8701 | 0.8148 | [X:[], M:[1.0, 1.0, 0.8961, 0.8961, 1.052, 0.948], q:[0.4221, 0.5779], qb:[0.5779, 0.526], phi:[0.474]] | 2*t^2.69 + 2*t^2.84 + 2*t^3. + t^3.47 + t^3.95 + t^4.27 + 2*t^4.42 + t^4.58 + 2*t^4.73 + 3*t^4.89 + 3*t^5.38 + 2*t^5.53 + 6*t^5.69 + 2*t^5.84 - 3*t^6. - t^4.42/y - t^4.42*y | detail |