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 |
|---|---|---|---|---|---|---|---|---|---|
| 46780 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ | 0.6351 | 0.8273 | 0.7677 | [X:[], M:[0.9627, 0.8153, 0.8153, 1.0373, 0.888], q:[0.7407, 0.2966], qb:[0.444, 0.444], phi:[0.5187]] | [X:[], M:[[4, 4], [-13, -1], [-1, -13], [-4, -4], [12, 12]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ M_5$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_5q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_5^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_2M_4$, $ M_2\phi_1^2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\phi_1q_2^2\tilde{q}_1^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$ | -2 | 2*t^2.22 + 2*t^2.45 + 2*t^2.66 + 2*t^3.11 + 2*t^3.78 + 3*t^4.22 + 3*t^4.44 + 4*t^4.67 + 7*t^4.89 + 4*t^5.11 + 7*t^5.33 + 2*t^5.56 + 3*t^5.78 - 2*t^6. + 5*t^6.22 + 6*t^6.44 + 6*t^6.67 + 6*t^6.88 + 6*t^6.89 + 7*t^7.11 + 9*t^7.33 + 4*t^7.34 + 6*t^7.55 + 7*t^7.56 + 4*t^7.77 + 4*t^7.78 + 4*t^7.99 + 8*t^8. - 4*t^8.22 + 9*t^8.44 - 2*t^8.45 - 3*t^8.66 + 4*t^8.67 + 10*t^8.89 - t^4.56/y - (2*t^7.)/y - t^7.22/y + (2*t^7.44)/y + (3*t^7.67)/y + (6*t^7.89)/y + (6*t^8.11)/y + (5*t^8.33)/y + (4*t^8.56)/y + (4*t^8.78)/y - t^4.56*y - 2*t^7.*y - t^7.22*y + 2*t^7.44*y + 3*t^7.67*y + 6*t^7.89*y + 6*t^8.11*y + 5*t^8.33*y + 4*t^8.56*y + 4*t^8.78*y | (g1^7*t^2.22)/g2^5 + (g2^7*t^2.22)/g1^5 + t^2.45/(g1*g2^13) + t^2.45/(g1^13*g2) + 2*g1^12*g2^12*t^2.66 + (2*t^3.11)/(g1^4*g2^4) + (g1^5*t^3.78)/g2^7 + (g2^5*t^3.78)/g1^7 + (g1^22*t^4.22)/g2^2 + g1^10*g2^10*t^4.22 + (g2^22*t^4.22)/g1^2 + (g1^14*t^4.44)/g2^10 + g1^2*g2^2*t^4.44 + (g2^14*t^4.44)/g1^10 + (g1^6*t^4.67)/g2^18 + (2*t^4.67)/(g1^6*g2^6) + (g2^6*t^4.67)/g1^18 + t^4.89/(g1^2*g2^26) + t^4.89/(g1^14*g2^14) + t^4.89/(g1^26*g2^2) + 2*g1^19*g2^7*t^4.89 + 2*g1^7*g2^19*t^4.89 + (2*g1^11*t^5.11)/g2 + (2*g2^11*t^5.11)/g1 + (2*g1^3*t^5.33)/g2^9 + (2*g2^3*t^5.33)/g1^9 + 3*g1^24*g2^24*t^5.33 + t^5.56/(g1^5*g2^17) + t^5.56/(g1^17*g2^5) + 3*g1^8*g2^8*t^5.78 - 2*t^6. + (g1^4*t^6.22)/g2^20 + (3*t^6.22)/(g1^8*g2^8) + (g2^4*t^6.22)/g1^20 + (g1^29*t^6.44)/g2^7 + 2*g1^17*g2^5*t^6.44 + 2*g1^5*g2^17*t^6.44 + (g2^29*t^6.44)/g1^7 + (2*g1^21*t^6.67)/g2^15 + (g1^9*t^6.67)/g2^3 + (g2^9*t^6.67)/g1^3 + (2*g2^21*t^6.67)/g1^15 + 2*g1^34*g2^10*t^6.88 + 2*g1^22*g2^22*t^6.88 + 2*g1^10*g2^34*t^6.88 + (g1^13*t^6.89)/g2^23 + (2*g1*t^6.89)/g2^11 + (2*g2*t^6.89)/g1^11 + (g2^13*t^6.89)/g1^23 + (g1^5*t^7.11)/g2^31 + t^7.11/(g1^7*g2^19) + t^7.11/(g1^19*g2^7) + g1^26*g2^2*t^7.11 + (g2^5*t^7.11)/g1^31 + g1^14*g2^14*t^7.11 + g1^2*g2^26*t^7.11 + (3*g1^18*t^7.33)/g2^6 + 3*g1^6*g2^6*t^7.33 + (3*g2^18*t^7.33)/g1^6 + t^7.34/(g1^3*g2^39) + t^7.34/(g1^15*g2^27) + t^7.34/(g1^27*g2^15) + t^7.34/(g1^39*g2^3) + 3*g1^31*g2^19*t^7.55 + 3*g1^19*g2^31*t^7.55 + (3*g1^10*t^7.56)/g2^14 + t^7.56/(g1^2*g2^2) + (3*g2^10*t^7.56)/g1^14 + 2*g1^23*g2^11*t^7.77 + 2*g1^11*g2^23*t^7.77 + (g1^2*t^7.78)/g2^22 + (2*t^7.78)/(g1^10*g2^10) + (g2^2*t^7.78)/g1^22 + 4*g1^36*g2^36*t^7.99 + t^8./(g1^6*g2^30) + (g1^27*t^8.)/g2^9 + t^8./(g1^30*g2^6) + 2*g1^15*g2^3*t^8. + 2*g1^3*g2^15*t^8. + (g2^27*t^8.)/g1^9 - (2*g1^7*t^8.22)/g2^5 - (2*g2^7*t^8.22)/g1^5 + (g1^44*t^8.44)/g2^4 + g1^32*g2^8*t^8.44 + 5*g1^20*g2^20*t^8.44 + g1^8*g2^32*t^8.44 + (g2^44*t^8.44)/g1^4 - t^8.45/(g1*g2^13) - t^8.45/(g1^13*g2) + (g1^36*t^8.66)/g2^12 - 5*g1^12*g2^12*t^8.66 + (g2^36*t^8.66)/g1^12 + (g1^3*t^8.67)/g2^33 + t^8.67/(g1^9*g2^21) + t^8.67/(g1^21*g2^9) + (g2^3*t^8.67)/g1^33 + (2*g1^28*t^8.89)/g2^20 + (2*g1^16*t^8.89)/g2^8 + 2*g1^4*g2^4*t^8.89 + (2*g2^16*t^8.89)/g1^8 + (2*g2^28*t^8.89)/g1^20 - t^4.56/(g1^2*g2^2*y) - t^7./(g1^3*g2^15*y) - t^7./(g1^15*g2^3*y) - (g1^10*g2^10*t^7.22)/y + (2*g1^2*g2^2*t^7.44)/y + (g1^6*t^7.67)/(g2^18*y) + t^7.67/(g1^6*g2^6*y) + (g2^6*t^7.67)/(g1^18*y) + (2*t^7.89)/(g1^14*g2^14*y) + (2*g1^19*g2^7*t^7.89)/y + (2*g1^7*g2^19*t^7.89)/y + (3*g1^11*t^8.11)/(g2*y) + (3*g2^11*t^8.11)/(g1*y) + (2*g1^3*t^8.33)/(g2^9*y) + (2*g2^3*t^8.33)/(g1^9*y) + (g1^24*g2^24*t^8.33)/y + (2*t^8.56)/(g1^5*g2^17*y) + (2*t^8.56)/(g1^17*g2^5*y) + (4*g1^8*g2^8*t^8.78)/y - (t^4.56*y)/(g1^2*g2^2) - (t^7.*y)/(g1^3*g2^15) - (t^7.*y)/(g1^15*g2^3) - g1^10*g2^10*t^7.22*y + 2*g1^2*g2^2*t^7.44*y + (g1^6*t^7.67*y)/g2^18 + (t^7.67*y)/(g1^6*g2^6) + (g2^6*t^7.67*y)/g1^18 + (2*t^7.89*y)/(g1^14*g2^14) + 2*g1^19*g2^7*t^7.89*y + 2*g1^7*g2^19*t^7.89*y + (3*g1^11*t^8.11*y)/g2 + (3*g2^11*t^8.11*y)/g1 + (2*g1^3*t^8.33*y)/g2^9 + (2*g2^3*t^8.33*y)/g1^9 + g1^24*g2^24*t^8.33*y + (2*t^8.56*y)/(g1^5*g2^17) + (2*t^8.56*y)/(g1^17*g2^5) + 4*g1^8*g2^8*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 47182 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_4$ + $ M_5\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6546 | 0.8636 | 0.7581 | [X:[], M:[0.9622, 0.8239, 0.8085, 1.0378, 0.8865, 0.7329], q:[0.7405, 0.2973], qb:[0.4356, 0.4509], phi:[0.5189]] | 2*t^2.2 + t^2.24 + t^2.43 + t^2.47 + 2*t^2.66 + 2*t^3.11 + t^3.76 + t^4.17 + t^4.22 + t^4.26 + 3*t^4.4 + 2*t^4.44 + t^4.49 + 2*t^4.62 + 3*t^4.67 + t^4.72 + t^4.85 + 4*t^4.86 + 3*t^4.9 + t^4.94 + 2*t^5.09 + 2*t^5.13 + 4*t^5.31 + 3*t^5.32 + 2*t^5.36 + t^5.54 + t^5.59 + 3*t^5.77 + t^5.95 - 3*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46282 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ M_1M_4$ | 0.6271 | 0.8133 | 0.771 | [X:[], M:[0.9796, 0.7857, 0.7857, 1.0204], q:[0.7449, 0.2755], qb:[0.4694, 0.4694], phi:[0.5102]] | 2*t^2.23 + 2*t^2.36 + t^2.82 + 2*t^3.06 + t^3.18 + 2*t^3.77 + 3*t^4.35 + 3*t^4.47 + 4*t^4.59 + 3*t^4.71 + 2*t^5.05 + 2*t^5.17 + 4*t^5.3 + 4*t^5.42 + 2*t^5.54 + t^5.63 + t^5.88 - t^6. - t^4.53/y - t^4.53*y | detail |