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 |
---|---|---|---|---|---|---|---|---|---|
48290 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.7038 | 0.8701 | 0.8089 | [X:[], M:[0.6699, 0.6699, 1.0, 1.0, 1.165, 0.9223], q:[0.7913, 0.5388], qb:[0.5388, 0.4612], phi:[0.4175]] | [X:[], M:[[1, 15], [-1, 1], [-1, -7], [1, 7], [0, -4], [0, 14]], q:[[0, -1], [-1, -14]], qb:[[1, 0], [0, 7]], phi:[[0, 2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ M_6$, $ M_3$, $ M_4$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_6$, $ M_1M_6$, $ M_2M_3$, $ M_1M_3$, $ M_2M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_2M_5$, $ M_1M_5$, $ M_6^2$, $ M_3M_6$, $ M_4M_6$ | $M_3^2$, $ M_4^2$ | 2*t^2.01 + t^2.77 + 2*t^3. + t^3.5 + t^3.76 + 4*t^4.02 + 2*t^4.25 + 3*t^4.49 + 2*t^4.78 + 4*t^5.01 + 2*t^5.5 + t^5.53 + 2*t^5.77 - 2*t^6. + 6*t^6.03 - 2*t^6.23 + 4*t^6.26 + 6*t^6.5 + t^6.52 + 4*t^6.79 - t^6.99 + 8*t^7.02 + 3*t^7.25 + 2*t^7.49 + 4*t^7.51 + 2*t^7.54 + 4*t^7.78 - 4*t^8.01 + 9*t^8.04 - 5*t^8.24 + 8*t^8.27 + t^8.3 - 2*t^8.48 + 11*t^8.5 + 2*t^8.53 + 2*t^8.74 - 3*t^8.77 + 6*t^8.8 + 5*t^8.97 - t^4.25/y - (2*t^6.26)/y + t^7.49/y + (2*t^7.78)/y + (4*t^8.01)/y + (2*t^8.24)/y - (3*t^8.27)/y + (2*t^8.5)/y + (4*t^8.77)/y - t^4.25*y - 2*t^6.26*y + t^7.49*y + 2*t^7.78*y + 4*t^8.01*y + 2*t^8.24*y - 3*t^8.27*y + 2*t^8.5*y + 4*t^8.77*y | (g2*t^2.01)/g1 + g1*g2^15*t^2.01 + g2^14*t^2.77 + t^3./(g1*g2^7) + g1*g2^7*t^3. + t^3.5/g2^4 + g2^6*t^3.76 + (g2^2*t^4.02)/g1^2 + 2*g2^16*t^4.02 + g1^2*g2^30*t^4.02 + t^4.25/(g1*g2^5) + g1*g2^9*t^4.25 + t^4.49/(g1^2*g2^26) + t^4.49/g2^12 + g1^2*g2^2*t^4.49 + (g2^15*t^4.78)/g1 + g1*g2^29*t^4.78 + t^5.01/(g1^2*g2^6) + 2*g2^8*t^5.01 + g1^2*g2^22*t^5.01 + t^5.5/(g1*g2^3) + g1*g2^11*t^5.5 + g2^28*t^5.53 + (g2^7*t^5.77)/g1 + g1*g2^21*t^5.77 - 2*t^6. + (g2^3*t^6.03)/g1^3 + (2*g2^17*t^6.03)/g1 + 2*g1*g2^31*t^6.03 + g1^3*g2^45*t^6.03 - t^6.23/(g1*g2^21) - (g1*t^6.23)/g2^7 + t^6.26/(g1^2*g2^4) + 2*g2^10*t^6.26 + g1^2*g2^24*t^6.26 + t^6.5/(g1^3*g2^25) + (2*t^6.5)/(g1*g2^11) + 2*g1*g2^3*t^6.5 + g1^3*g2^17*t^6.5 + g2^20*t^6.52 + (g2^16*t^6.79)/g1^2 + 2*g2^30*t^6.79 + g1^2*g2^44*t^6.79 - t^6.99/g2^8 + t^7.02/(g1^3*g2^5) + (3*g2^9*t^7.02)/g1 + 3*g1*g2^23*t^7.02 + g1^3*g2^37*t^7.02 + t^7.25/(g1^2*g2^12) + g2^2*t^7.25 + g1^2*g2^16*t^7.25 + t^7.49/(g1^3*g2^33) + g1^3*g2^9*t^7.49 + t^7.51/(g1^2*g2^2) + 2*g2^12*t^7.51 + g1^2*g2^26*t^7.51 + (g2^29*t^7.54)/g1 + g1*g2^43*t^7.54 + (g2^8*t^7.78)/g1^2 + 2*g2^22*t^7.78 + g1^2*g2^36*t^7.78 - (2*g2*t^8.01)/g1 - 2*g1*g2^15*t^8.01 + (g2^4*t^8.04)/g1^4 + (2*g2^18*t^8.04)/g1^2 + 3*g2^32*t^8.04 + 2*g1^2*g2^46*t^8.04 + g1^4*g2^60*t^8.04 - t^8.24/(g1^2*g2^20) - (3*t^8.24)/g2^6 - g1^2*g2^8*t^8.24 + t^8.27/(g1^3*g2^3) + (3*g2^11*t^8.27)/g1 + 3*g1*g2^25*t^8.27 + g1^3*g2^39*t^8.27 + g2^42*t^8.3 - t^8.48/(g1*g2^27) - (g1*t^8.48)/g2^13 + t^8.5/(g1^4*g2^24) + (3*t^8.5)/(g1^2*g2^10) + 3*g2^4*t^8.5 + 3*g1^2*g2^18*t^8.5 + g1^4*g2^32*t^8.5 + (g2^21*t^8.53)/g1 + g1*g2^35*t^8.53 + t^8.74/(g1^3*g2^31) + g1^3*g2^11*t^8.74 - 3*g2^14*t^8.77 + (g2^17*t^8.8)/g1^3 + (2*g2^31*t^8.8)/g1 + 2*g1*g2^45*t^8.8 + g1^3*g2^59*t^8.8 + t^8.97/(g1^4*g2^52) + t^8.97/(g1^2*g2^38) + t^8.97/g2^24 + (g1^2*t^8.97)/g2^10 + g1^4*g2^4*t^8.97 - (g2^2*t^4.25)/y - (g2^3*t^6.26)/(g1*y) - (g1*g2^17*t^6.26)/y + t^7.49/(g2^12*y) + (g2^15*t^7.78)/(g1*y) + (g1*g2^29*t^7.78)/y + t^8.01/(g1^2*g2^6*y) + (2*g2^8*t^8.01)/y + (g1^2*g2^22*t^8.01)/y + t^8.24/(g1*g2^13*y) + (g1*g2*t^8.24)/y - (g2^4*t^8.27)/(g1^2*y) - (g2^18*t^8.27)/y - (g1^2*g2^32*t^8.27)/y + t^8.5/(g1*g2^3*y) + (g1*g2^11*t^8.5)/y + (2*g2^7*t^8.77)/(g1*y) + (2*g1*g2^21*t^8.77)/y - g2^2*t^4.25*y - (g2^3*t^6.26*y)/g1 - g1*g2^17*t^6.26*y + (t^7.49*y)/g2^12 + (g2^15*t^7.78*y)/g1 + g1*g2^29*t^7.78*y + (t^8.01*y)/(g1^2*g2^6) + 2*g2^8*t^8.01*y + g1^2*g2^22*t^8.01*y + (t^8.24*y)/(g1*g2^13) + g1*g2*t^8.24*y - (g2^4*t^8.27*y)/g1^2 - g2^18*t^8.27*y - g1^2*g2^32*t^8.27*y + (t^8.5*y)/(g1*g2^3) + g1*g2^11*t^8.5*y + (2*g2^7*t^8.77*y)/g1 + 2*g1*g2^21*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
52235 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.723 | 0.9046 | 0.7992 | [X:[], M:[0.6752, 0.6752, 1.0, 1.0, 1.1624, 0.9316, 0.7436], q:[0.7906, 0.5342], qb:[0.5342, 0.4658], phi:[0.4188]] | 2*t^2.03 + t^2.23 + t^2.79 + 2*t^3. + t^3.49 + 4*t^4.05 + 4*t^4.26 + 4*t^4.46 + 2*t^4.82 + 5*t^5.03 + 2*t^5.23 + 2*t^5.51 + t^5.59 + t^5.72 - 2*t^6. - t^4.26/y - t^4.26*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 |
---|---|---|---|---|---|---|---|---|---|
46733 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1q_1^2$ + $ M_5\phi_1^2$ | 0.6991 | 0.86 | 0.8129 | [X:[], M:[0.7009, 0.7009, 1.0, 1.0, 1.1495], q:[0.7874, 0.5117], qb:[0.5117, 0.4883], phi:[0.4252]] | 2*t^2.1 + 2*t^3. + t^3.07 + t^3.45 + t^3.83 + 4*t^4.21 + 2*t^4.28 + 3*t^4.35 + 4*t^5.1 + 2*t^5.17 + 2*t^5.55 - 2*t^6. - t^4.28/y - t^4.28*y | detail |