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 |
|---|---|---|---|---|---|---|---|---|---|
| 47083 | 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$ + $ \phi_1q_2^2$ | 0.6958 | 0.8638 | 0.8055 | [X:[], M:[0.7814, 0.9672, 0.9672, 0.7814, 1.1257, 0.8743], q:[0.4372, 0.7814], qb:[0.5957, 0.4372], phi:[0.4372]] | [X:[], M:[[3, 1], [-7, 1], [-11, -1], [-1, -1], [4, 0], [-4, 0]], q:[[-4, -1], [1, 0]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4^2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_1M_2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_3$, $ M_3^2$, $ M_2^2$ | . | -5 | 2*t^2.34 + 2*t^2.62 + 2*t^2.9 + 3*t^3.93 + t^4.13 + 2*t^4.41 + 3*t^4.69 + t^4.89 + 4*t^4.97 + 7*t^5.25 + 2*t^5.52 + 3*t^5.8 - 5*t^6. + 4*t^6.28 + 5*t^6.56 + 4*t^6.75 + 4*t^6.84 + 6*t^7.03 + 2*t^7.23 + 3*t^7.31 + t^7.51 + 10*t^7.59 - 2*t^7.79 + 13*t^7.87 - t^8.07 + 8*t^8.15 - 8*t^8.34 + 3*t^8.43 - 5*t^8.62 + 4*t^8.7 + t^8.82 - 2*t^8.9 - t^4.31/y - (2*t^6.66)/y - t^6.93/y - (2*t^7.21)/y + (2*t^7.41)/y + (2*t^7.69)/y + (6*t^7.97)/y + (5*t^8.25)/y + (4*t^8.52)/y + t^8.8/y - t^4.31*y - 2*t^6.66*y - t^6.93*y - 2*t^7.21*y + 2*t^7.41*y + 2*t^7.69*y + 6*t^7.97*y + 5*t^8.25*y + 4*t^8.52*y + t^8.8*y | t^2.34/(g1*g2) + g1^3*g2*t^2.34 + (2*t^2.62)/g1^4 + t^2.9/(g1^11*g2) + (g2*t^2.9)/g1^7 + t^3.93/g1^6 + t^3.93/(g1^10*g2^2) + (g2^2*t^3.93)/g1^2 + g1^12*t^4.13 + (g1^5*t^4.41)/g2 + g1^9*g2*t^4.41 + g1^2*t^4.69 + t^4.69/(g1^2*g2^2) + g1^6*g2^2*t^4.69 + g1^20*t^4.89 + (2*t^4.97)/(g1^5*g2) + (2*g2*t^4.97)/g1 + (5*t^5.25)/g1^8 + t^5.25/(g1^12*g2^2) + (g2^2*t^5.25)/g1^4 + t^5.52/(g1^15*g2) + (g2*t^5.52)/g1^11 + t^5.8/g1^18 + t^5.8/(g1^22*g2^2) + (g2^2*t^5.8)/g1^14 - 3*t^6. - t^6./(g1^4*g2^2) - g1^4*g2^2*t^6. + t^6.28/(g1^11*g2^3) + t^6.28/(g1^7*g2) + (g2*t^6.28)/g1^3 + g1*g2^3*t^6.28 + t^6.56/g1^10 + (2*t^6.56)/(g1^14*g2^2) + (2*g2^2*t^6.56)/g1^6 + 2*g1^8*t^6.75 + (g1^4*t^6.75)/g2^2 + g1^12*g2^2*t^6.75 + t^6.84/(g1^21*g2^3) + t^6.84/(g1^17*g2) + (g2*t^6.84)/g1^13 + (g2^3*t^6.84)/g1^9 + t^7.03/(g1^3*g2^3) + (2*g1*t^7.03)/g2 + 2*g1^5*g2*t^7.03 + g1^9*g2^3*t^7.03 + (g1^19*t^7.23)/g2 + g1^23*g2*t^7.23 + t^7.31/g1^2 + t^7.31/(g1^6*g2^2) + g1^2*g2^2*t^7.31 + g1^16*t^7.51 + t^7.59/(g1^13*g2^3) + (4*t^7.59)/(g1^9*g2) + (4*g2*t^7.59)/g1^5 + (g2^3*t^7.59)/g1 - (g1^9*t^7.79)/g2 - g1^13*g2*t^7.79 + (7*t^7.87)/g1^12 + t^7.87/(g1^20*g2^4) + (2*t^7.87)/(g1^16*g2^2) + (2*g2^2*t^7.87)/g1^8 + (g2^4*t^7.87)/g1^4 - g1^6*t^8.07 + t^8.15/(g1^23*g2^3) + (3*t^8.15)/(g1^19*g2) + (3*g2*t^8.15)/g1^15 + (g2^3*t^8.15)/g1^11 - (4*t^8.34)/(g1*g2) - 4*g1^3*g2*t^8.34 + t^8.43/g1^22 + t^8.43/(g1^26*g2^2) + (g2^2*t^8.43)/g1^18 - (5*t^8.62)/g1^4 + t^8.62/(g1^12*g2^4) - t^8.62/(g1^8*g2^2) - g2^2*t^8.62 + g1^4*g2^4*t^8.62 + t^8.7/(g1^33*g2^3) + t^8.7/(g1^29*g2) + (g2*t^8.7)/g1^25 + (g2^3*t^8.7)/g1^21 - g1^14*t^8.82 + (g1^10*t^8.82)/g2^2 + g1^18*g2^2*t^8.82 + t^8.9/(g1^15*g2^3) - (2*t^8.9)/(g1^11*g2) - (2*g2*t^8.9)/g1^7 + (g2^3*t^8.9)/g1^3 - t^4.31/(g1^2*y) - t^6.66/(g1^3*g2*y) - (g1*g2*t^6.66)/y - t^6.93/(g1^6*y) - t^7.21/(g1^13*g2*y) - (g2*t^7.21)/(g1^9*y) + (g1^5*t^7.41)/(g2*y) + (g1^9*g2*t^7.41)/y + (2*g1^2*t^7.69)/y + (3*t^7.97)/(g1^5*g2*y) + (3*g2*t^7.97)/(g1*y) + (3*t^8.25)/(g1^8*y) + t^8.25/(g1^12*g2^2*y) + (g2^2*t^8.25)/(g1^4*y) + (2*t^8.52)/(g1^15*g2*y) + (2*g2*t^8.52)/(g1^11*y) + t^8.8/(g1^18*y) - (t^4.31*y)/g1^2 - (t^6.66*y)/(g1^3*g2) - g1*g2*t^6.66*y - (t^6.93*y)/g1^6 - (t^7.21*y)/(g1^13*g2) - (g2*t^7.21*y)/g1^9 + (g1^5*t^7.41*y)/g2 + g1^9*g2*t^7.41*y + 2*g1^2*t^7.69*y + (3*t^7.97*y)/(g1^5*g2) + (3*g2*t^7.97*y)/g1 + (3*t^8.25*y)/g1^8 + (t^8.25*y)/(g1^12*g2^2) + (g2^2*t^8.25*y)/g1^4 + (2*t^8.52*y)/(g1^15*g2) + (2*g2*t^8.52*y)/g1^11 + (t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 52059 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2^2$ + $ M_3M_6$ | 0.6838 | 0.8483 | 0.8061 | [X:[], M:[0.7364, 1.0167, 1.0879, 0.8076, 1.0879, 0.9121], q:[0.4916, 0.772], qb:[0.4916, 0.4205], phi:[0.4561]] | t^2.21 + t^2.42 + 2*t^2.74 + t^3.05 + t^3.26 + t^3.79 + t^3.89 + 2*t^4.1 + 3*t^4.32 + t^4.42 + t^4.63 + t^4.85 + 2*t^4.95 + 2*t^5.16 + t^5.26 + 5*t^5.47 + t^5.69 - 2*t^6. - t^4.37/y - t^4.37*y | detail | {a: 144062/210681, c: 357433/421362, M1: 338/459, M2: 1400/1377, M3: 1498/1377, M4: 1112/1377, M5: 1498/1377, M6: 1256/1377, q1: 677/1377, q2: 1063/1377, qb1: 677/1377, qb2: 193/459, phi1: 628/1377} |
| 54820 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2^2$ + $ M_3^2$ | 0.6949 | 0.8621 | 0.8061 | [X:[], M:[0.7674, 0.9767, 1.0, 0.7907, 1.1163, 0.8837], q:[0.4535, 0.7791], qb:[0.5698, 0.4302], phi:[0.4419]] | t^2.3 + t^2.37 + 2*t^2.65 + t^2.93 + t^3. + t^3.91 + t^3.98 + 2*t^4.05 + t^4.33 + t^4.4 + t^4.6 + t^4.67 + 2*t^4.74 + 2*t^4.95 + 2*t^5.02 + t^5.23 + 5*t^5.3 + t^5.37 + t^5.58 + t^5.65 + t^5.86 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46615 | 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$ | 0.7171 | 0.8807 | 0.8142 | [X:[], M:[0.9214, 0.9214, 0.9214, 0.9214, 1.0786, 0.9214], q:[0.4607, 0.6179], qb:[0.6179, 0.4607], phi:[0.4607]] | 6*t^2.76 + t^3.71 + 3*t^4.15 + 4*t^4.62 + 3*t^5.09 + 17*t^5.53 - 8*t^6. - t^4.38/y - t^4.38*y | detail |