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 |
|---|---|---|---|---|---|---|---|---|---|
| 55305 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1M_6$ + $ M_5M_7$ | 0.6995 | 0.8592 | 0.8142 | [X:[], M:[1.0646, 0.9821, 0.9354, 0.9749, 1.0215, 0.9354, 0.9785], q:[0.4874, 0.448], qb:[0.5305, 0.5771], phi:[0.4892]] | [X:[], M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [-6, -6], [-2, -2]], q:[[6, -4], [-12, -2]], qb:[[10, 0], [0, 10]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_4$, $ M_7$, $ \phi_1^2$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_4$, $ M_4M_6$, $ M_3M_7$, $ M_6M_7$, $ M_3\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_3$, $ M_2M_6$, $ M_4^2$, $ M_4M_7$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_7^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_2M_7$, $ M_2\phi_1^2$, $ M_2^2$ | . | -4 | 2*t^2.81 + t^2.92 + 2*t^2.94 + t^2.95 + t^3.32 + t^4.16 + t^4.27 + t^4.39 + t^4.4 + t^4.52 + t^4.54 + t^4.65 + t^4.66 + t^4.79 + t^4.93 + 2*t^5.61 + t^5.73 + 4*t^5.74 + t^5.75 + t^5.85 + t^5.86 + 3*t^5.87 + t^5.88 + t^5.89 - 4*t^6. - t^6.12 - t^6.14 + 2*t^6.26 - t^6.39 + t^6.65 + 2*t^6.96 + 2*t^7.08 + 2*t^7.09 + t^7.1 + 2*t^7.2 + 3*t^7.21 - t^7.22 + t^7.32 + 3*t^7.33 + t^7.34 + t^7.35 + t^7.45 + 2*t^7.46 - t^7.47 + 2*t^7.48 + t^7.49 + t^7.58 + t^7.59 + 2*t^7.6 - t^7.61 - t^7.72 + t^7.73 + t^7.74 - t^7.86 + 2*t^7.87 + t^7.88 + t^7.97 - t^8. + t^8.11 + t^8.25 + t^8.31 + 2*t^8.42 + t^8.43 + t^8.54 + 5*t^8.55 + t^8.56 + t^8.66 + 2*t^8.67 + 6*t^8.68 + 2*t^8.7 + t^8.77 + 2*t^8.78 + 2*t^8.8 - 3*t^8.81 + 3*t^8.82 + t^8.83 + t^8.84 + t^8.91 - 4*t^8.92 - 8*t^8.94 - 3*t^8.95 - t^4.47/y - t^7.27/y - t^7.39/y - t^7.4/y - t^7.41/y + t^7.52/y + t^7.53/y + t^7.54/y + t^7.66/y + t^8.61/y + (2*t^8.73)/y + (4*t^8.74)/y + (2*t^8.75)/y + (2*t^8.86)/y + (2*t^8.87)/y + (2*t^8.88)/y - t^4.47*y - t^7.27*y - t^7.39*y - t^7.4*y - t^7.41*y + t^7.52*y + t^7.53*y + t^7.54*y + t^7.66*y + t^8.61*y + 2*t^8.73*y + 4*t^8.74*y + 2*t^8.75*y + 2*t^8.86*y + 2*t^8.87*y + 2*t^8.88*y | (2*t^2.81)/(g1^6*g2^6) + (g1^12*t^2.92)/g2^8 + (2*t^2.94)/(g1^2*g2^2) + (g2^4*t^2.95)/g1^16 + g1^10*g2^10*t^3.32 + t^4.16/(g1^25*g2^5) + t^4.27/(g1^7*g2^7) + (g1^11*t^4.39)/g2^9 + t^4.4/(g1^3*g2^3) + (g1^15*t^4.52)/g2^5 + (g2^7*t^4.54)/g1^13 + (g1^19*t^4.65)/g2 + g1^5*g2^5*t^4.66 + g1^9*g2^9*t^4.79 + (g2^19*t^4.93)/g1 + (2*t^5.61)/(g1^12*g2^12) + (g1^6*t^5.73)/g2^14 + (4*t^5.74)/(g1^8*g2^8) + t^5.75/(g1^22*g2^2) + (g1^24*t^5.85)/g2^16 + (g1^10*t^5.86)/g2^10 + (3*t^5.87)/(g1^4*g2^4) + (g2^2*t^5.88)/g1^18 + (g2^8*t^5.89)/g1^32 - 4*t^6. - (g1^18*t^6.12)/g2^2 - (g2^10*t^6.14)/g1^10 + 2*g1^8*g2^8*t^6.26 - g1^12*g2^12*t^6.39 + g1^20*g2^20*t^6.65 + (2*t^6.96)/(g1^31*g2^11) + (2*t^7.08)/(g1^13*g2^13) + (2*t^7.09)/(g1^27*g2^7) + t^7.1/(g1^41*g2) + (2*g1^5*t^7.2)/g2^15 + (3*t^7.21)/(g1^9*g2^9) - t^7.22/(g1^23*g2^3) + (g1^23*t^7.32)/g2^17 + (3*g1^9*t^7.33)/g2^11 + t^7.34/(g1^5*g2^5) + (g2*t^7.35)/g1^19 + (g1^27*t^7.45)/g2^13 + (2*g1^13*t^7.46)/g2^7 - t^7.47/(g1*g2) + (2*g2^5*t^7.48)/g1^15 + (g2^11*t^7.49)/g1^29 + (g1^31*t^7.58)/g2^9 + (g1^17*t^7.59)/g2^3 + 2*g1^3*g2^3*t^7.6 - (g2^9*t^7.61)/g1^11 - g1^21*g2*t^7.72 + g1^7*g2^7*t^7.73 + (g2^13*t^7.74)/g1^7 - g1^11*g2^11*t^7.86 + (2*g2^17*t^7.87)/g1^3 + (g2^23*t^7.88)/g1^17 + g1^29*g2^9*t^7.97 - g1*g2^21*t^8. + g1^19*g2^19*t^8.11 + g1^9*g2^29*t^8.25 + t^8.31/(g1^50*g2^10) + (2*t^8.42)/(g1^18*g2^18) + t^8.43/(g1^32*g2^12) + t^8.54/g2^20 + (5*t^8.55)/(g1^14*g2^14) + t^8.56/(g1^28*g2^8) + (g1^18*t^8.66)/g2^22 + (2*g1^4*t^8.67)/g2^16 + (6*t^8.68)/(g1^10*g2^10) + (2*g2^2*t^8.7)/g1^38 + (g1^36*t^8.77)/g2^24 + (2*g1^22*t^8.78)/g2^18 + (2*g1^8*t^8.8)/g2^12 - (3*t^8.81)/(g1^6*g2^6) + (3*t^8.82)/g1^20 + (g2^6*t^8.83)/g1^34 + (g2^12*t^8.84)/g1^48 + (g1^26*t^8.91)/g2^14 - (4*g1^12*t^8.92)/g2^8 - (8*t^8.94)/(g1^2*g2^2) - (3*g2^4*t^8.95)/g1^16 - t^4.47/(g1*g2*y) - t^7.27/(g1^7*g2^7*y) - (g1^11*t^7.39)/(g2^9*y) - t^7.4/(g1^3*g2^3*y) - (g2^3*t^7.41)/(g1^17*y) + (g1^15*t^7.52)/(g2^5*y) + (g1*g2*t^7.53)/y + (g2^7*t^7.54)/(g1^13*y) + (g1^5*g2^5*t^7.66)/y + t^8.61/(g1^12*g2^12*y) + (2*g1^6*t^8.73)/(g2^14*y) + (4*t^8.74)/(g1^8*g2^8*y) + (2*t^8.75)/(g1^22*g2^2*y) + (2*g1^10*t^8.86)/(g2^10*y) + (2*t^8.87)/(g1^4*g2^4*y) + (2*g2^2*t^8.88)/(g1^18*y) - (t^4.47*y)/(g1*g2) - (t^7.27*y)/(g1^7*g2^7) - (g1^11*t^7.39*y)/g2^9 - (t^7.4*y)/(g1^3*g2^3) - (g2^3*t^7.41*y)/g1^17 + (g1^15*t^7.52*y)/g2^5 + g1*g2*t^7.53*y + (g2^7*t^7.54*y)/g1^13 + g1^5*g2^5*t^7.66*y + (t^8.61*y)/(g1^12*g2^12) + (2*g1^6*t^8.73*y)/g2^14 + (4*t^8.74*y)/(g1^8*g2^8) + (2*t^8.75*y)/(g1^22*g2^2) + (2*g1^10*t^8.86*y)/g2^10 + (2*t^8.87*y)/(g1^4*g2^4) + (2*g2^2*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 56967 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1M_6$ + $ M_5M_7$ + $ M_4^2$ | 0.699 | 0.8584 | 0.8143 | [X:[], M:[1.06, 0.96, 0.94, 1.0, 1.02, 0.94, 0.98], q:[0.5, 0.44], qb:[0.54, 0.56], phi:[0.49]] | 2*t^2.82 + t^2.88 + 2*t^2.94 + t^3. + t^3.3 + t^4.11 + t^4.29 + t^4.41 + 2*t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.77 + t^4.83 + 2*t^5.64 + t^5.7 + 5*t^5.76 + 2*t^5.82 + 3*t^5.88 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46990 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1M_6$ | 0.6977 | 0.8557 | 0.8153 | [X:[], M:[1.0565, 0.984, 0.9435, 0.9784, 1.0188, 0.9435], q:[0.4892, 0.4543], qb:[0.5269, 0.5673], phi:[0.4906]] | 2*t^2.83 + 2*t^2.94 + t^2.95 + t^3.06 + t^3.28 + t^4.2 + t^4.3 + t^4.41 + t^4.42 + t^4.52 + t^4.54 + t^4.63 + t^4.64 + t^4.75 + t^4.88 + 2*t^5.66 + 3*t^5.77 + t^5.78 + t^5.87 + 3*t^5.89 + t^5.9 + t^5.99 - 3*t^6. - t^4.47/y - t^4.47*y | detail |