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 |
|---|---|---|---|---|---|---|---|---|---|
| 55530 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7088 | 0.8952 | 0.7918 | [X:[], M:[0.9827, 0.9827, 1.1188, 0.6782, 0.7797, 0.6782], q:[0.5767, 0.4406], qb:[0.4406, 0.7797], phi:[0.4406]] | [X:[], M:[[-9], [-9], [4], [6], [1], [6]], q:[[11], [-2]], qb:[[-2], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ q_1\tilde{q}_2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_5^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_2M_4$, $ M_1M_6$, $ M_2M_6$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_2M_5$, $ \phi_1^4$, $ M_3M_4$, $ M_3M_6$, $ M_3M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$ | $M_4\phi_1q_2^2$, $ M_6\phi_1q_2^2$ | -1 | 2*t^2.03 + t^2.34 + t^2.64 + 2*t^2.95 + t^3.36 + t^3.66 + t^3.97 + 4*t^4.07 + 4*t^4.37 + 3*t^4.68 + t^4.78 + 5*t^4.98 + 3*t^5.29 + 2*t^5.39 + 3*t^5.7 + 3*t^5.9 - t^6. + 6*t^6.1 + 2*t^6.3 + 6*t^6.41 + 2*t^6.61 + 7*t^6.71 + 2*t^6.82 + 10*t^7.02 + t^7.12 + 6*t^7.32 + 4*t^7.43 + 2*t^7.63 + 6*t^7.73 + 7*t^7.93 - 3*t^8.03 + 9*t^8.14 + 3*t^8.24 - t^8.34 + 9*t^8.44 + 2*t^8.64 + 10*t^8.75 + 4*t^8.84 + 4*t^8.85 - 7*t^8.95 - t^4.32/y - (2*t^6.36)/y - t^6.66/y + t^7.07/y - (2*t^7.27)/y + (4*t^7.37)/y + (2*t^7.68)/y + (6*t^7.98)/y + (4*t^8.29)/y - t^8.39/y + (2*t^8.59)/y + t^8.7/y + t^8.9/y - t^4.32*y - 2*t^6.36*y - t^6.66*y + t^7.07*y - 2*t^7.27*y + 4*t^7.37*y + 2*t^7.68*y + 6*t^7.98*y + 4*t^8.29*y - t^8.39*y + 2*t^8.59*y + t^8.7*y + t^8.9*y | 2*g1^6*t^2.03 + g1*t^2.34 + t^2.64/g1^4 + (2*t^2.95)/g1^9 + g1^4*t^3.36 + t^3.66/g1 + t^3.97/g1^6 + 4*g1^12*t^4.07 + 4*g1^7*t^4.37 + 3*g1^2*t^4.68 + g1^20*t^4.78 + (5*t^4.98)/g1^3 + (3*t^5.29)/g1^8 + 2*g1^10*t^5.39 + 3*g1^5*t^5.7 + (3*t^5.9)/g1^18 - t^6. + 6*g1^18*t^6.1 + (2*t^6.3)/g1^5 + 6*g1^13*t^6.41 + (2*t^6.61)/g1^10 + 7*g1^8*t^6.71 + 2*g1^26*t^6.82 + 10*g1^3*t^7.02 + g1^21*t^7.12 + (6*t^7.32)/g1^2 + 4*g1^16*t^7.43 + (2*t^7.63)/g1^7 + 6*g1^11*t^7.73 + (7*t^7.93)/g1^12 - 3*g1^6*t^8.03 + 9*g1^24*t^8.14 + (3*t^8.24)/g1^17 - g1*t^8.34 + 9*g1^19*t^8.44 + (2*t^8.64)/g1^4 + 10*g1^14*t^8.75 + (4*t^8.84)/g1^27 + 4*g1^32*t^8.85 - (7*t^8.95)/g1^9 - t^4.32/(g1^2*y) - (2*g1^4*t^6.36)/y - t^6.66/(g1*y) + (g1^12*t^7.07)/y - (2*t^7.27)/(g1^11*y) + (4*g1^7*t^7.37)/y + (2*g1^2*t^7.68)/y + (6*t^7.98)/(g1^3*y) + (4*t^8.29)/(g1^8*y) - (g1^10*t^8.39)/y + (2*t^8.59)/(g1^13*y) + (g1^5*t^8.7)/y + t^8.9/(g1^18*y) - (t^4.32*y)/g1^2 - 2*g1^4*t^6.36*y - (t^6.66*y)/g1 + g1^12*t^7.07*y - (2*t^7.27*y)/g1^11 + 4*g1^7*t^7.37*y + 2*g1^2*t^7.68*y + (6*t^7.98*y)/g1^3 + (4*t^8.29*y)/g1^8 - g1^10*t^8.39*y + (2*t^8.59*y)/g1^13 + g1^5*t^8.7*y + (t^8.9*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57102 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ | 0.7296 | 0.9362 | 0.7793 | [X:[], M:[0.984, 0.984, 1.1182, 0.6773, 0.7796, 0.6773, 0.6773], q:[0.5751, 0.4409], qb:[0.4409, 0.7796], phi:[0.4409]] | 3*t^2.03 + t^2.34 + t^2.65 + 2*t^2.95 + t^3.35 + t^3.66 + 7*t^4.06 + 5*t^4.37 + 4*t^4.68 + t^4.77 + 7*t^4.98 + 3*t^5.29 + 3*t^5.39 + 4*t^5.69 + 3*t^5.9 - 3*t^6. - t^4.32/y - t^4.32*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47095 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.688 | 0.8543 | 0.8054 | [X:[], M:[0.9811, 0.9811, 1.1195, 0.6792, 0.7799], q:[0.5786, 0.4403], qb:[0.4403, 0.7799], phi:[0.4403]] | t^2.04 + t^2.34 + t^2.64 + 2*t^2.94 + t^3.36 + t^3.66 + 2*t^3.96 + 2*t^4.08 + 3*t^4.38 + 2*t^4.68 + t^4.79 + 3*t^4.98 + 3*t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.89 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 52/53, M3: 178/159, M4: 36/53, M5: 124/159, q1: 92/159, q2: 70/159, qb1: 70/159, qb2: 124/159, phi1: 70/159} |