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 |
|---|---|---|---|---|---|---|---|---|---|
| 45929 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.6721 | 0.8254 | 0.8143 | [X:[], M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | [X:[], M:[[12, 12], [-4, -4]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -4 | t^2.14 + t^2.71 + 2*t^2.89 + t^3.29 + 2*t^3.68 + 3*t^4.07 + 2*t^4.25 + t^4.29 + t^4.43 + t^4.86 + 2*t^5.04 + 2*t^5.43 + 2*t^5.61 + 3*t^5.78 - 4*t^6. + 3*t^6.22 + 2*t^6.39 + t^6.43 + 4*t^6.57 + 2*t^6.79 + 6*t^6.96 + t^7. + 4*t^7.14 + 2*t^7.32 - t^7.36 - 2*t^7.53 + 2*t^7.57 + 6*t^7.75 + 3*t^7.93 + 2*t^8.14 + 4*t^8.32 + 3*t^8.36 + 5*t^8.5 + t^8.58 + 6*t^8.67 - 4*t^8.71 + t^8.85 - 10*t^8.89 + 3*t^8.93 - t^4.36/y - t^6.5/y + t^7.86/y + (2*t^8.04)/y + t^8.21/y + t^8.43/y + (2*t^8.61)/y - t^8.65/y + t^8.78/y + (2*t^8.82)/y - t^4.36*y - t^6.5*y + t^7.86*y + 2*t^8.04*y + t^8.21*y + t^8.43*y + 2*t^8.61*y - t^8.65*y + t^8.78*y + 2*t^8.82*y | g1^12*g2^12*t^2.14 + g1^4*g2^4*t^2.71 + t^2.89/(g1^7*g2^11) + t^2.89/(g1^11*g2^7) + t^3.29/(g1^4*g2^4) + (g1^3*t^3.68)/g2 + (g2^3*t^3.68)/g1 + g1^10*g2^2*t^4.07 + g1^6*g2^6*t^4.07 + g1^2*g2^10*t^4.07 + t^4.25/(g1^5*g2^9) + t^4.25/(g1^9*g2^5) + g1^24*g2^24*t^4.29 + t^4.43/(g1^20*g2^20) + g1^16*g2^16*t^4.86 + g1^5*g2*t^5.04 + g1*g2^5*t^5.04 + 2*g1^8*g2^8*t^5.43 + t^5.61/(g1^3*g2^7) + t^5.61/(g1^7*g2^3) + t^5.78/(g1^14*g2^22) + t^5.78/(g1^18*g2^18) + t^5.78/(g1^22*g2^14) - 2*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^22*g2^14*t^6.22 + g1^18*g2^18*t^6.22 + g1^14*g2^22*t^6.22 + g1^7*g2^3*t^6.39 + g1^3*g2^7*t^6.39 + g1^36*g2^36*t^6.43 + t^6.57/(g1^4*g2^12) + (2*t^6.57)/(g1^8*g2^8) + t^6.57/(g1^12*g2^4) + g1^14*g2^6*t^6.79 + g1^6*g2^14*t^6.79 + (g1^3*t^6.96)/g2^9 + (2*t^6.96)/(g1*g2^5) + (2*t^6.96)/(g1^5*g2) + (g2^3*t^6.96)/g1^9 + g1^28*g2^28*t^7. + t^7.14/(g1^12*g2^20) + (2*t^7.14)/(g1^16*g2^16) + t^7.14/(g1^20*g2^12) + t^7.32/(g1^27*g2^31) + t^7.32/(g1^31*g2^27) - g1^2*g2^2*t^7.36 - t^7.53/(g1^9*g2^13) - t^7.53/(g1^13*g2^9) + 2*g1^20*g2^20*t^7.57 + g1^13*g2*t^7.75 + 2*g1^9*g2^5*t^7.75 + 2*g1^5*g2^9*t^7.75 + g1*g2^13*t^7.75 + t^7.93/(g1^2*g2^10) + t^7.93/(g1^6*g2^6) + t^7.93/(g1^10*g2^2) + g1^20*g2^4*t^8.14 + g1^4*g2^20*t^8.14 + (g1^5*t^8.32)/g2^7 + (g1*t^8.32)/g2^3 + (g2*t^8.32)/g1^3 + (g2^5*t^8.32)/g1^7 + g1^34*g2^26*t^8.36 + g1^30*g2^30*t^8.36 + g1^26*g2^34*t^8.36 + (2*t^8.5)/(g1^10*g2^18) + t^8.5/(g1^14*g2^14) + (2*t^8.5)/(g1^18*g2^10) + g1^48*g2^48*t^8.58 + t^8.67/(g1^21*g2^33) + (2*t^8.67)/(g1^25*g2^29) + (2*t^8.67)/(g1^29*g2^25) + t^8.67/(g1^33*g2^21) - g1^8*t^8.71 - 2*g1^4*g2^4*t^8.71 - g2^8*t^8.71 + t^8.85/(g1^40*g2^40) - t^8.89/(g1^3*g2^15) - (4*t^8.89)/(g1^7*g2^11) - (4*t^8.89)/(g1^11*g2^7) - t^8.89/(g1^15*g2^3) + g1^26*g2^18*t^8.93 + g1^22*g2^22*t^8.93 + g1^18*g2^26*t^8.93 - (g1^2*g2^2*t^4.36)/y - (g1^14*g2^14*t^6.5)/y + (g1^16*g2^16*t^7.86)/y + (g1^5*g2*t^8.04)/y + (g1*g2^5*t^8.04)/y + t^8.21/(g1^10*g2^10*y) + (g1^8*g2^8*t^8.43)/y + t^8.61/(g1^3*g2^7*y) + t^8.61/(g1^7*g2^3*y) - (g1^26*g2^26*t^8.65)/y + t^8.78/(g1^18*g2^18*y) + (g1^15*g2^11*t^8.82)/y + (g1^11*g2^15*t^8.82)/y - g1^2*g2^2*t^4.36*y - g1^14*g2^14*t^6.5*y + g1^16*g2^16*t^7.86*y + g1^5*g2*t^8.04*y + g1*g2^5*t^8.04*y + (t^8.21*y)/(g1^10*g2^10) + g1^8*g2^8*t^8.43*y + (t^8.61*y)/(g1^3*g2^7) + (t^8.61*y)/(g1^7*g2^3) - g1^26*g2^26*t^8.65*y + (t^8.78*y)/(g1^18*g2^18) + g1^15*g2^11*t^8.82*y + g1^11*g2^15*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 46036 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ | 0.681 | 0.8403 | 0.8104 | [X:[], M:[0.701, 1.0997, 0.9003], q:[0.7749, 0.5241], qb:[0.4502, 0.4502], phi:[0.4502]] | t^2.1 + 2*t^2.7 + 2*t^2.92 + 2*t^3.68 + 3*t^4.05 + t^4.21 + 2*t^4.27 + t^4.5 + 2*t^4.8 + 2*t^5.03 + 3*t^5.4 + 4*t^5.62 + 3*t^5.85 - 5*t^6. - t^4.35/y - t^4.35*y | detail | |
| 46072 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ | 0.6711 | 0.825 | 0.8135 | [X:[], M:[0.6804, 1.1065, 0.9852], q:[0.7766, 0.543], qb:[0.4718, 0.4217], phi:[0.4467]] | t^2.04 + t^2.68 + t^2.89 + t^2.96 + t^3.32 + t^3.59 + t^3.75 + t^3.87 + t^4.02 + t^4.08 + t^4.17 + t^4.23 + t^4.38 + t^4.6 + t^4.72 + t^4.94 + t^5. + 2*t^5.36 + t^5.57 + t^5.64 + t^5.79 + 2*t^5.91 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 46038 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1\tilde{q}_2$ + $ M_1X_1$ | 0.6489 | 0.7809 | 0.831 | [X:[1.3333], M:[0.6667, 1.1111], q:[0.7778, 0.5556], qb:[0.4444, 0.4444], phi:[0.4444]] | t^2.67 + 2*t^3. + t^3.33 + 2*t^3.67 + 4*t^4. + 2*t^4.33 + t^4.67 + t^5.33 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 841/1296, c: 253/324, X1: 4/3, M1: 2/3, M2: 10/9, q1: 7/9, q2: 5/9, qb1: 4/9, qb2: 4/9, phi1: 4/9} |
| 46071 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ | 0.6709 | 0.8239 | 0.8143 | [X:[], M:[0.6905, 1.1032], q:[0.7758, 0.5338], qb:[0.4662, 0.4306], phi:[0.4484]] | t^2.07 + t^2.69 + t^2.89 + t^3. + t^3.31 + t^3.62 + t^3.73 + t^3.93 + t^4.04 + 2*t^4.14 + t^4.24 + t^4.35 + t^4.55 + t^4.76 + t^4.96 + t^5.07 + 2*t^5.38 + t^5.58 + t^5.69 + t^5.79 - t^4.35/y - t^4.35*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45858 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.7025 | 0.8516 | 0.8249 | [X:[], M:[0.6751, 0.8682], q:[0.8071, 0.5178], qb:[0.5659, 0.5659], phi:[0.3858]] | t^2.03 + t^2.31 + t^2.6 + 2*t^3.25 + t^4.05 + 2*t^4.12 + t^4.26 + t^4.34 + 2*t^4.41 + 3*t^4.55 + 2*t^4.63 + t^4.92 + t^5.21 + 2*t^5.28 + 2*t^5.57 - 5*t^6. - t^4.16/y - t^4.16*y | detail |