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 |
---|---|---|---|---|---|---|---|---|---|
46689 | 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_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ | 0.6814 | 0.8225 | 0.8284 | [X:[], M:[1.0, 0.742, 1.0, 0.9353, 1.1613], q:[0.4677, 0.5323], qb:[0.7903, 0.5323], phi:[0.4193]] | [X:[], M:[[-7, 1], [6, 0], [7, -1], [-14, 0], [4, 0]], q:[[-7, 0], [14, -1]], qb:[[1, 0], [0, 1]], phi:[[-2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ M_3$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_2M_5$ | $M_1^2$, $ M_3^2$ | -2 | t^2.23 + t^2.81 + 2*t^3. + t^3.48 + 2*t^3.97 + t^4.06 + 2*t^4.26 + 4*t^4.45 + t^5.03 + 2*t^5.23 + t^5.61 + t^5.71 - 2*t^6. + t^6.29 + 2*t^6.48 + 4*t^6.68 + t^6.87 + 3*t^6.97 + 2*t^7.06 + 3*t^7.26 + 6*t^7.45 + t^7.84 + 4*t^7.94 + t^8.13 - 2*t^8.23 + 2*t^8.32 + 5*t^8.42 + 3*t^8.52 + 4*t^8.71 - 3*t^8.81 + 9*t^8.9 - t^4.26/y - t^6.48/y - t^7.06/y + t^7.45/y + (2*t^8.03)/y + (2*t^8.23)/y + (2*t^8.81)/y - t^4.26*y - t^6.48*y - t^7.06*y + t^7.45*y + 2*t^8.03*y + 2*t^8.23*y + 2*t^8.81*y | g1^6*t^2.23 + t^2.81/g1^14 + (g1^7*t^3.)/g2 + (g2*t^3.)/g1^7 + g1^4*t^3.48 + (g1^15*t^3.97)/g2 + g1*g2*t^3.97 + t^4.06/g1^16 + (g1^5*t^4.26)/g2 + (g2*t^4.26)/g1^9 + 2*g1^12*t^4.45 + (g1^26*t^4.45)/g2^2 + (g2^2*t^4.45)/g1^2 + t^5.03/g1^8 + (g1^13*t^5.23)/g2 + (g2*t^5.23)/g1 + t^5.61/g1^28 + g1^10*t^5.71 - 2*t^6. + t^6.29/g1^10 + (g1^11*t^6.48)/g2 + (g2*t^6.48)/g1^3 + 2*g1^18*t^6.68 + (g1^32*t^6.68)/g2^2 + g1^4*g2^2*t^6.68 + t^6.87/g1^30 + g1^8*t^6.97 + (g1^22*t^6.97)/g2^2 + (g2^2*t^6.97)/g1^6 + t^7.06/(g1^9*g2) + (g2*t^7.06)/g1^23 + t^7.26/g1^2 + (g1^12*t^7.26)/g2^2 + (g2^2*t^7.26)/g1^16 + (g1^33*t^7.45)/g2^3 + (2*g1^19*t^7.45)/g2 + 2*g1^5*g2*t^7.45 + (g2^3*t^7.45)/g1^9 + t^7.84/g1^22 + 2*g1^16*t^7.94 + (g1^30*t^7.94)/g2^2 + g1^2*g2^2*t^7.94 + t^8.13/g1^32 - 2*g1^6*t^8.23 + t^8.32/(g1^11*g2) + (g2*t^8.32)/g1^25 + t^8.42/g1^42 + (g1^41*t^8.42)/g2^3 + (g1^27*t^8.42)/g2 + g1^13*g2*t^8.42 + (g2^3*t^8.42)/g1 + t^8.52/g1^4 + (g1^10*t^8.52)/g2^2 + (g2^2*t^8.52)/g1^18 + (g1^31*t^8.71)/g2^3 + (g1^17*t^8.71)/g2 + g1^3*g2*t^8.71 + (g2^3*t^8.71)/g1^11 - (3*t^8.81)/g1^14 + 3*g1^24*t^8.9 + (g1^52*t^8.9)/g2^4 + (2*g1^38*t^8.9)/g2^2 + 2*g1^10*g2^2*t^8.9 + (g2^4*t^8.9)/g1^4 - t^4.26/(g1^2*y) - (g1^4*t^6.48)/y - t^7.06/(g1^16*y) + (g1^12*t^7.45)/y + (2*t^8.03)/(g1^8*y) + (g1^13*t^8.23)/(g2*y) + (g2*t^8.23)/(g1*y) + t^8.81/(g1^7*g2*y) + (g2*t^8.81)/(g1^21*y) - (t^4.26*y)/g1^2 - g1^4*t^6.48*y - (t^7.06*y)/g1^16 + g1^12*t^7.45*y + (2*t^8.03*y)/g1^8 + (g1^13*t^8.23*y)/g2 + (g2*t^8.23*y)/g1 + (t^8.81*y)/(g1^7*g2) + (g2*t^8.81*y)/g1^21 |
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 |
---|---|---|---|---|---|---|---|---|
48203 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_6$ | 0.6784 | 0.8213 | 0.826 | [X:[], M:[1.0, 0.714, 1.0, 1.0008, 1.1426, 0.9992], q:[0.5004, 0.4996], qb:[0.7857, 0.4996], phi:[0.4287]] | t^2.14 + 3*t^3. + t^3.43 + 2*t^3.86 + 4*t^4.28 + 3*t^4.29 + 3*t^5.14 + t^5.57 - t^6. - t^4.29/y - t^4.29*y | detail | |
46919 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5\phi_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ | 0.615 | 0.7516 | 0.8183 | [X:[], M:[0.8144, 0.8144, 1.1856, 0.7664, 1.2096], q:[0.3832, 0.8024], qb:[0.8024, 0.4312], phi:[0.3952]] | t^2.3 + 2*t^2.44 + t^3.48 + t^3.56 + 2*t^3.63 + t^3.7 + t^3.77 + t^4.6 + 2*t^4.74 + t^4.81 + 3*t^4.89 + t^5.78 + 2*t^5.93 - 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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46244 | 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_5\phi_1^2$ | 0.7051 | 0.8546 | 0.8251 | [X:[], M:[1.0, 0.9226, 1.0, 0.9324, 1.0725], q:[0.4662, 0.5338], qb:[0.6112, 0.5338], phi:[0.4638]] | t^2.77 + t^2.8 + 2*t^3. + t^3.22 + 2*t^3.43 + t^4.19 + 2*t^4.39 + 3*t^4.59 + t^4.62 + 2*t^4.83 + t^5.06 + t^5.54 + t^5.59 + t^5.99 - 3*t^6. - t^4.39/y - t^4.39*y | detail |