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 |
|---|---|---|---|---|---|---|---|---|---|
| 412 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6883 | 0.8554 | 0.8047 | [X:[], M:[0.9936, 1.1195, 0.9686, 0.6793, 0.7674], q:[0.7799, 0.4277], qb:[0.5787, 0.4528], phi:[0.4402]] | [X:[], M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-1, -1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_2M_5$, $ M_4q_1q_2$, $ M_3^2$, $ M_1M_3$, $ M_5q_1q_2$, $ M_4\phi_1q_2^2$, $ M_1^2$ | . | -2 | t^2.04 + t^2.3 + t^2.64 + t^2.91 + t^2.98 + t^3.36 + t^3.62 + t^3.89 + t^4.04 + 2*t^4.08 + 2*t^4.34 + t^4.42 + t^4.6 + t^4.68 + t^4.79 + 2*t^4.94 + t^5.02 + t^5.21 + 2*t^5.28 + t^5.4 + 2*t^5.66 + t^5.81 + t^5.89 + t^5.92 + t^5.96 - 2*t^6. + 2*t^6.11 + t^6.19 + t^6.26 + t^6.34 + 2*t^6.38 + 2*t^6.53 + 2*t^6.64 + t^6.68 + 2*t^6.72 + t^6.79 + t^6.83 + t^6.91 + 3*t^6.98 + t^7.02 + t^7.06 + t^7.09 + 3*t^7.25 + t^7.32 + 2*t^7.43 + 2*t^7.51 + t^7.58 + 3*t^7.7 + t^7.77 + t^7.85 + 2*t^7.92 + 3*t^7.96 + t^8. - 3*t^8.04 + t^8.07 + t^8.11 + 3*t^8.15 + t^8.19 + 2*t^8.23 + t^8.26 - 2*t^8.3 - t^8.38 + 3*t^8.42 + t^8.45 + t^8.49 + 2*t^8.57 - t^8.64 + 3*t^8.68 + t^8.72 + t^8.79 + 3*t^8.83 + 3*t^8.87 - 3*t^8.91 + 3*t^8.94 - 3*t^8.98 - t^4.32/y - t^6.36/y - t^6.62/y - t^7.23/y - t^7.3/y + (2*t^7.34)/y + t^7.42/y + t^7.68/y + (2*t^7.94)/y + (2*t^8.02)/y + t^8.21/y + (2*t^8.28)/y + t^8.55/y + t^8.62/y + t^8.66/y + t^8.89/y + t^8.92/y - t^4.32*y - t^6.36*y - t^6.62*y - t^7.23*y - t^7.3*y + 2*t^7.34*y + t^7.42*y + t^7.68*y + 2*t^7.94*y + 2*t^8.02*y + t^8.21*y + 2*t^8.28*y + t^8.55*y + t^8.62*y + t^8.66*y + t^8.89*y + t^8.92*y | g1^6*t^2.04 + t^2.3/(g1*g2) + t^2.64/g1^4 + t^2.91/(g1^11*g2) + (g2*t^2.98)/g1^7 + g1^4*t^3.36 + t^3.62/(g1^3*g2) + t^3.89/(g1^10*g2^2) + (g2^2*t^4.04)/g1^2 + 2*g1^12*t^4.08 + (2*g1^5*t^4.34)/g2 + g1^9*g2*t^4.42 + t^4.6/(g1^2*g2^2) + g1^2*t^4.68 + g1^20*t^4.79 + (2*t^4.94)/(g1^5*g2) + (g2*t^5.02)/g1 + t^5.21/(g1^12*g2^2) + (2*t^5.28)/g1^8 + g1^10*t^5.4 + (2*g1^3*t^5.66)/g2 + t^5.81/(g1^22*g2^2) + t^5.89/g1^18 + t^5.92/(g1^4*g2^2) + (g2^2*t^5.96)/g1^14 - 2*t^6. + 2*g1^18*t^6.11 + t^6.19/(g1^11*g2^3) + t^6.26/(g1^7*g2) + (g2*t^6.34)/g1^3 + (2*g1^11*t^6.38)/g2 + (2*t^6.53)/(g1^14*g2^2) + (2*g1^4*t^6.64)/g2^2 + (g2^2*t^6.68)/g1^6 + 2*g1^8*t^6.72 + t^6.79/(g1^21*g2^3) + g1^26*t^6.83 + t^6.91/(g1^3*g2^3) + (3*g1*t^6.98)/g2 + (g2^3*t^7.02)/g1^9 + g1^5*g2*t^7.06 + (g1^19*t^7.09)/g2 + (3*t^7.25)/(g1^6*g2^2) + t^7.32/g1^2 + 2*g1^16*t^7.43 + (2*t^7.51)/(g1^13*g2^3) + t^7.58/(g1^9*g2) + (3*g1^9*t^7.7)/g2 + t^7.77/(g1^20*g2^4) + t^7.85/(g1^16*g2^2) + (2*t^7.92)/g1^12 + (3*g1^2*t^7.96)/g2^2 + (g2^2*t^8.)/g1^8 - 3*g1^6*t^8.04 + (g2^4*t^8.07)/g1^4 + t^8.11/(g1^23*g2^3) + 3*g1^24*t^8.15 + t^8.19/(g1^19*g2) + (2*t^8.23)/(g1^5*g2^3) + (g2*t^8.26)/g1^15 - (2*t^8.3)/(g1*g2) - g1^3*g2*t^8.38 + (3*g1^17*t^8.42)/g2 + g1^7*g2^3*t^8.45 + t^8.49/(g1^12*g2^4) + (2*t^8.57)/(g1^8*g2^2) - t^8.64/g1^4 + (3*g1^10*t^8.68)/g2^2 + t^8.72/(g1^33*g2^3) + t^8.79/(g1^29*g2) + (2*t^8.83)/(g1^15*g2^3) + g1^18*g2^2*t^8.83 + 2*g1^32*t^8.87 + (g2*t^8.87)/g1^25 - (3*t^8.91)/(g1^11*g2) + (2*g1^3*t^8.94)/g2^3 + (g2^3*t^8.94)/g1^21 - (3*g2*t^8.98)/g1^7 - t^4.32/(g1^2*y) - (g1^4*t^6.36)/y - t^6.62/(g1^3*g2*y) - t^7.23/(g1^13*g2*y) - (g2*t^7.3)/(g1^9*y) + (2*g1^5*t^7.34)/(g2*y) + (g1^9*g2*t^7.42)/y + (g1^2*t^7.68)/y + (2*t^7.94)/(g1^5*g2*y) + (2*g2*t^8.02)/(g1*y) + t^8.21/(g1^12*g2^2*y) + (2*t^8.28)/(g1^8*y) + t^8.55/(g1^15*g2*y) + (g2*t^8.62)/(g1^11*y) + (g1^3*t^8.66)/(g2*y) + t^8.89/(g1^18*y) + t^8.92/(g1^4*g2^2*y) - (t^4.32*y)/g1^2 - g1^4*t^6.36*y - (t^6.62*y)/(g1^3*g2) - (t^7.23*y)/(g1^13*g2) - (g2*t^7.3*y)/g1^9 + (2*g1^5*t^7.34*y)/g2 + g1^9*g2*t^7.42*y + g1^2*t^7.68*y + (2*t^7.94*y)/(g1^5*g2) + (2*g2*t^8.02*y)/g1 + (t^8.21*y)/(g1^12*g2^2) + (2*t^8.28*y)/g1^8 + (t^8.55*y)/(g1^15*g2) + (g2*t^8.62*y)/g1^11 + (g1^3*t^8.66*y)/g2 + (t^8.89*y)/g1^18 + (t^8.92*y)/(g1^4*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 666 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_4$ | 0.6469 | 0.8101 | 0.7985 | [X:[], M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.36 + 2*t^2.4 + t^2.44 + t^3.53 + t^3.56 + t^3.6 + t^3.67 + 3*t^4.73 + 4*t^4.76 + 6*t^4.8 + 2*t^4.84 + t^4.87 + 2*t^5.89 + 3*t^5.93 + 3*t^5.96 - t^4.2/y - t^4.2*y | detail | |
| 665 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.688 | 0.8543 | 0.8054 | [X:[], M:[0.9811, 1.1195, 0.9811, 0.6792, 0.7799], q:[0.7799, 0.4403], qb:[0.5786, 0.4403], 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: 178/159, M3: 52/53, M4: 36/53, M5: 124/159, q1: 124/159, q2: 70/159, qb1: 92/159, qb2: 70/159, phi1: 70/159} |
| 668 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.7089 | 0.895 | 0.7921 | [X:[], M:[0.9907, 1.1181, 0.9777, 0.6772, 0.7731, 0.6902], q:[0.7795, 0.4345], qb:[0.5749, 0.4474], phi:[0.4409]] | t^2.03 + t^2.07 + t^2.32 + t^2.65 + t^2.93 + t^2.97 + t^3.35 + t^3.64 + t^4.01 + 2*t^4.06 + t^4.1 + t^4.14 + 2*t^4.35 + 2*t^4.39 + t^4.64 + t^4.68 + t^4.72 + t^4.77 + 2*t^4.96 + 2*t^5. + t^5.04 + t^5.25 + 2*t^5.29 + t^5.39 + t^5.42 + 2*t^5.67 + t^5.71 + t^5.87 + t^5.91 + t^5.94 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 667 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7056 | 0.8857 | 0.7967 | [X:[], M:[0.9833, 1.1185, 0.9833, 0.6778, 0.7796, 0.7796], q:[0.7796, 0.4407], qb:[0.576, 0.4407], phi:[0.4407]] | t^2.03 + 2*t^2.34 + t^2.64 + 2*t^2.95 + t^3.36 + 2*t^3.97 + 2*t^4.07 + 4*t^4.37 + 4*t^4.68 + t^4.78 + 4*t^4.98 + 5*t^5.29 + t^5.39 + 2*t^5.69 + 3*t^5.9 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 262 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6704 | 0.8228 | 0.8147 | [X:[], M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | t^2.04 + t^2.64 + 2*t^2.94 + t^3.36 + 2*t^3.66 + 2*t^3.96 + 2*t^4.08 + 2*t^4.38 + t^4.68 + t^4.81 + 2*t^4.98 + t^5.28 + t^5.4 + 2*t^5.7 + 3*t^5.87 - 2*t^6. - t^4.32/y - t^4.32*y | detail |