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 |
|---|---|---|---|---|---|---|---|---|---|
| 270 | 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_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6973 | 0.8533 | 0.8172 | [X:[], M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | [X:[], M:[[7, 1], [14, 0], [-7, -1], [-16, 0]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1^4$, $ M_3M_4$, $ M_1M_4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ M_4q_1\tilde{q}_1$ | $M_1^2$, $ M_3^2$ | -2 | t^2.02 + t^2.5 + t^2.74 + 2*t^3. + t^3.74 + 2*t^4.01 + t^4.03 + 2*t^4.25 + 4*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + t^5.47 + 2*t^5.5 + t^5.76 - 2*t^6. + 2*t^6.02 + t^6.05 + t^6.48 + 4*t^6.53 + 4*t^6.74 + t^6.77 + 6*t^7.01 + 2*t^7.03 + 3*t^7.25 + 2*t^7.49 + 4*t^7.51 + t^7.73 + t^7.78 + t^7.97 + 2*t^7.99 - 2*t^8.02 + 2*t^8.04 + t^8.06 + t^8.21 + 3*t^8.26 - 2*t^8.5 + 4*t^8.52 + 4*t^8.54 - 3*t^8.74 + 4*t^8.76 + t^8.78 - t^4.25/y - t^6.26/y - t^6.74/y - t^6.98/y + (2*t^7.51)/y + (2*t^7.75)/y + (2*t^8.02)/y + (2*t^8.23)/y - t^8.28/y + (2*t^8.5)/y + (2*t^8.74)/y - t^4.25*y - t^6.26*y - t^6.74*y - t^6.98*y + 2*t^7.51*y + 2*t^7.75*y + 2*t^8.02*y + 2*t^8.23*y - t^8.28*y + 2*t^8.5*y + 2*t^8.74*y | t^2.02/g1^16 + g1^4*t^2.5 + g1^14*t^2.74 + t^3./(g1^7*g2) + g1^7*g2*t^3. + g1^6*t^3.74 + t^4.01/(g1^15*g2) + (g2*t^4.01)/g1 + t^4.03/g1^32 + t^4.25/(g1^5*g2) + g1^9*g2*t^4.25 + (2*t^4.51)/g1^12 + t^4.51/(g1^26*g2^2) + g1^2*g2^2*t^4.51 + t^4.75/g1^2 + g1^8*t^4.99 + t^5.02/(g1^23*g2) + (g2*t^5.02)/g1^9 + g1^18*t^5.23 + g1^28*t^5.47 + t^5.5/(g1^3*g2) + g1^11*g2*t^5.5 + t^5.76/g1^10 - 2*t^6. + t^6.02/(g1^31*g2) + (g2*t^6.02)/g1^17 + t^6.05/g1^48 + g1^20*t^6.48 + (2*t^6.53)/g1^28 + t^6.53/(g1^42*g2^2) + (g2^2*t^6.53)/g1^14 + (2*t^6.74)/(g1*g2) + 2*g1^13*g2*t^6.74 + t^6.77/g1^18 + (2*t^7.01)/g1^8 + (2*t^7.01)/(g1^22*g2^2) + 2*g1^6*g2^2*t^7.01 + t^7.03/(g1^39*g2) + (g2*t^7.03)/g1^25 + g1^2*t^7.25 + t^7.25/(g1^12*g2^2) + g1^16*g2^2*t^7.25 + 2*g1^12*t^7.49 + t^7.51/(g1^33*g2^3) + t^7.51/(g1^19*g2) + (g2*t^7.51)/g1^5 + g1^9*g2^3*t^7.51 + g1^22*t^7.73 + t^7.78/g1^26 + g1^32*t^7.97 + (g1*t^7.99)/g2 + g1^15*g2*t^7.99 - (2*t^8.02)/g1^16 + t^8.04/(g1^47*g2) + (g2*t^8.04)/g1^33 + t^8.06/g1^64 + g1^42*t^8.21 + t^8.26/g1^6 + t^8.26/(g1^20*g2^2) + g1^8*g2^2*t^8.26 - 2*g1^4*t^8.5 + t^8.52/(g1^41*g2^3) + t^8.52/(g1^27*g2) + (g2*t^8.52)/g1^13 + g1*g2^3*t^8.52 + (2*t^8.54)/g1^44 + t^8.54/(g1^58*g2^2) + (g2^2*t^8.54)/g1^30 - 3*g1^14*t^8.74 + t^8.76/(g1^31*g2^3) + t^8.76/(g1^17*g2) + (g2*t^8.76)/g1^3 + g1^11*g2^3*t^8.76 + t^8.78/g1^34 - (g1^2*t^4.25)/y - t^6.26/(g1^14*y) - (g1^6*t^6.74)/y - (g1^16*t^6.98)/y + (2*t^7.51)/(g1^12*y) + (2*t^7.75)/(g1^2*y) + t^8.02/(g1^23*g2*y) + (g2*t^8.02)/(g1^9*y) + (2*g1^18*t^8.23)/y - t^8.28/(g1^30*y) + t^8.5/(g1^3*g2*y) + (g1^11*g2*t^8.5)/y + (g1^7*t^8.74)/(g2*y) + (g1^21*g2*t^8.74)/y - g1^2*t^4.25*y - (t^6.26*y)/g1^14 - g1^6*t^6.74*y - g1^16*t^6.98*y + (2*t^7.51*y)/g1^12 + (2*t^7.75*y)/g1^2 + (t^8.02*y)/(g1^23*g2) + (g2*t^8.02*y)/g1^9 + 2*g1^18*t^8.23*y - (t^8.28*y)/g1^30 + (t^8.5*y)/(g1^3*g2) + g1^11*g2*t^8.5*y + (g1^7*t^8.74*y)/g2 + g1^21*g2*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 435 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_1M_4$ | 0.645 | 0.7913 | 0.8151 | [X:[], M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.8049, 0.512], qb:[0.3659, 0.7562], phi:[0.3903]] | t^2.2 + t^2.34 + 2*t^2.63 + t^3.37 + t^3.51 + t^3.8 + t^3.95 + t^4.24 + t^4.39 + 2*t^4.54 + 2*t^4.68 + t^4.83 + 3*t^4.98 + 2*t^5.27 + 3*t^5.71 - t^6. - t^4.17/y - t^4.17*y | detail | |
| 437 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.684 | 0.834 | 0.8201 | [X:[], M:[1.0, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 4*t^4.2 + 9*t^4.8 + 4*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 171/250, c: 417/500, M1: 1, M2: 4/5, M3: 1, M4: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
| 442 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.6307 | 0.7795 | 0.809 | [X:[], M:[0.809, 0.779, 1.191, 0.824], q:[0.8015, 0.8015], qb:[0.3895, 0.4195], phi:[0.397]] | t^2.34 + t^2.38 + t^2.43 + t^2.47 + 2*t^3.57 + t^3.62 + t^3.66 + t^3.71 + t^4.67 + t^4.72 + 2*t^4.76 + 3*t^4.81 + 2*t^4.85 + t^4.9 + t^4.94 + t^5.91 + t^5.96 + t^6. - t^4.19/y - t^4.19*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 |
|---|---|---|---|---|---|---|---|---|---|
| 171 | 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_1M_3$ | 0.6765 | 0.812 | 0.8331 | [X:[], M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.49 + t^2.73 + 2*t^3. + t^3.74 + t^3.98 + 2*t^4.01 + 2*t^4.25 + 3*t^4.52 + t^4.99 + t^5.22 + t^5.46 + 2*t^5.49 - 2*t^6. - t^4.25/y - t^4.25*y | detail |