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 |
---|---|---|---|---|---|---|---|---|---|
603 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ | 0.7071 | 0.865 | 0.8174 | [X:[], M:[1.0, 0.8897, 0.9506, 0.9391, 1.0552], q:[0.5523, 0.4477], qb:[0.4971, 0.6132], phi:[0.4724]] | [X:[], M:[[0, 0], [-4, -4], [-10, -2], [6, -2], [2, 2]], q:[[6, 2], [-6, -2]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_2M_3$, $ M_4^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_3^2$, $ M_2M_5$, $ M_1\phi_1^2$, $ M_4M_5$ | . | -2 | t^2.67 + t^2.82 + t^2.83 + t^2.85 + t^3. + t^3.17 + t^3.5 + t^4.1 + t^4.25 + t^4.4 + t^4.42 + t^4.57 + t^4.6 + t^4.73 + t^4.75 + t^4.91 + t^5.1 + t^5.34 + t^5.49 + t^5.52 + t^5.63 + 3*t^5.67 + t^5.7 + t^5.83 + t^5.98 - 2*t^6. + t^6.02 - t^6.15 + t^6.17 - t^6.18 + t^6.33 + t^6.66 + t^6.77 + t^6.92 + t^6.94 + t^6.96 + t^6.99 + t^7.07 + 2*t^7.09 + t^7.1 + t^7.22 + 2*t^7.23 + t^7.25 + t^7.27 + t^7.38 + 2*t^7.4 + t^7.42 + t^7.45 + t^7.55 + t^7.57 + t^7.58 + t^7.6 + t^7.73 + t^7.77 + t^7.91 + t^7.95 + t^8.01 + t^8.1 + t^8.16 + t^8.19 + t^8.21 + t^8.23 + t^8.3 + 2*t^8.34 + t^8.37 + t^8.41 + t^8.45 + t^8.49 + 2*t^8.5 + 2*t^8.52 + t^8.56 + t^8.59 + t^8.65 - 2*t^8.67 + t^8.7 + 2*t^8.8 - 3*t^8.82 + t^8.83 - 3*t^8.85 + t^8.87 - t^8.98 - t^4.42/y - t^7.09/y - t^7.23/y - t^7.27/y + t^7.57/y + t^7.6/y + t^7.75/y + t^8.49/y + t^8.5/y + t^8.52/y + t^8.65/y + (2*t^8.67)/y + t^8.69/y + t^8.82/y + (2*t^8.83)/y + t^8.85/y + t^8.98/y - t^4.42*y - t^7.09*y - t^7.23*y - t^7.27*y + t^7.57*y + t^7.6*y + t^7.75*y + t^8.49*y + t^8.5*y + t^8.52*y + t^8.65*y + 2*t^8.67*y + t^8.69*y + t^8.82*y + 2*t^8.83*y + t^8.85*y + t^8.98*y | t^2.67/(g1^4*g2^4) + (g1^6*t^2.82)/g2^2 + t^2.83/(g1^2*g2^2) + t^2.85/(g1^10*g2^2) + t^3. + g1^2*g2^2*t^3.17 + g1^6*g2^6*t^3.5 + t^4.1/(g1^13*g2^5) + t^4.25/(g1^3*g2^3) + (g1^7*t^4.4)/g2 + t^4.42/(g1*g2) + g1^9*g2*t^4.57 + (g2*t^4.6)/g1^7 + g1^11*g2^3*t^4.73 + g1^3*g2^3*t^4.75 + g1^5*g2^5*t^4.91 + (g2^7*t^5.1)/g1 + t^5.34/(g1^8*g2^8) + (g1^2*t^5.49)/g2^6 + t^5.52/(g1^14*g2^6) + (g1^12*t^5.63)/g2^4 + (3*t^5.67)/(g1^4*g2^4) + t^5.7/(g1^20*g2^4) + t^5.83/(g1^2*g2^2) + g1^8*t^5.98 - 2*t^6. + t^6.02/g1^8 - g1^10*g2^2*t^6.15 + g1^2*g2^2*t^6.17 - (g2^2*t^6.18)/g1^6 + g1^4*g2^4*t^6.33 + g1^8*g2^8*t^6.66 + t^6.77/(g1^17*g2^9) + t^6.92/(g1^7*g2^7) + t^6.94/(g1^15*g2^7) + t^6.96/(g1^23*g2^7) + g1^12*g2^12*t^6.99 + (g1^3*t^7.07)/g2^5 + (2*t^7.09)/(g1^5*g2^5) + t^7.1/(g1^13*g2^5) + (g1^13*t^7.22)/g2^3 + (2*g1^5*t^7.23)/g2^3 + t^7.25/(g1^3*g2^3) + t^7.27/(g1^11*g2^3) + (g1^15*t^7.38)/g2 + (2*g1^7*t^7.4)/g2 + t^7.42/(g1*g2) + t^7.45/(g1^17*g2) + g1^17*g2*t^7.55 + g1^9*g2*t^7.57 + g1*g2*t^7.58 + (g2*t^7.6)/g1^7 + g1^11*g2^3*t^7.73 + (g2^3*t^7.77)/g1^5 + g1^5*g2^5*t^7.91 + (g2^5*t^7.95)/g1^11 + t^8.01/(g1^12*g2^12) + (g2^7*t^8.1)/g1 + t^8.16/(g1^2*g2^10) + t^8.19/(g1^18*g2^10) + t^8.21/(g1^26*g2^10) + g1^17*g2^9*t^8.23 + (g1^8*t^8.3)/g2^8 + (2*t^8.34)/(g1^8*g2^8) + t^8.37/(g1^24*g2^8) + g1^11*g2^11*t^8.41 + (g1^18*t^8.45)/g2^6 + (g1^2*t^8.49)/g2^6 + (2*t^8.5)/(g1^6*g2^6) + (2*t^8.52)/(g1^14*g2^6) + t^8.56/(g1^30*g2^6) + g1^5*g2^13*t^8.59 + (g1^4*t^8.65)/g2^4 - (2*t^8.67)/(g1^4*g2^4) + t^8.7/(g1^20*g2^4) + (2*g1^14*t^8.8)/g2^2 - (3*g1^6*t^8.82)/g2^2 + t^8.83/(g1^2*g2^2) - (3*t^8.85)/(g1^10*g2^2) + t^8.87/(g1^18*g2^2) - g1^8*t^8.98 - t^4.42/(g1*g2*y) - t^7.09/(g1^5*g2^5*y) - (g1^5*t^7.23)/(g2^3*y) - t^7.27/(g1^11*g2^3*y) + (g1^9*g2*t^7.57)/y + (g2*t^7.6)/(g1^7*y) + (g1^3*g2^3*t^7.75)/y + (g1^2*t^8.49)/(g2^6*y) + t^8.5/(g1^6*g2^6*y) + t^8.52/(g1^14*g2^6*y) + (g1^4*t^8.65)/(g2^4*y) + (2*t^8.67)/(g1^4*g2^4*y) + t^8.69/(g1^12*g2^4*y) + (g1^6*t^8.82)/(g2^2*y) + (2*t^8.83)/(g1^2*g2^2*y) + t^8.85/(g1^10*g2^2*y) + (g1^8*t^8.98)/y - (t^4.42*y)/(g1*g2) - (t^7.09*y)/(g1^5*g2^5) - (g1^5*t^7.23*y)/g2^3 - (t^7.27*y)/(g1^11*g2^3) + g1^9*g2*t^7.57*y + (g2*t^7.6*y)/g1^7 + g1^3*g2^3*t^7.75*y + (g1^2*t^8.49*y)/g2^6 + (t^8.5*y)/(g1^6*g2^6) + (t^8.52*y)/(g1^14*g2^6) + (g1^4*t^8.65*y)/g2^4 + (2*t^8.67*y)/(g1^4*g2^4) + (t^8.69*y)/(g1^12*g2^4) + (g1^6*t^8.82*y)/g2^2 + (2*t^8.83*y)/(g1^2*g2^2) + (t^8.85*y)/(g1^10*g2^2) + g1^8*t^8.98*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 |
---|---|---|---|---|---|---|---|---|
970 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_3$ | 0.6978 | 0.8548 | 0.8164 | [X:[], M:[1.0, 0.9552, 1.0448, 0.9105, 1.0224], q:[0.4888, 0.5112], qb:[0.4664, 0.5784], phi:[0.4888]] | t^2.73 + t^2.87 + t^2.93 + t^3. + t^3.07 + t^3.13 + t^3.2 + t^4.26 + t^4.33 + 2*t^4.4 + t^4.47 + t^4.53 + t^4.6 + t^4.67 + t^4.74 + t^4.94 + t^5.46 + t^5.6 + t^5.73 + t^5.8 + 2*t^5.87 + t^5.93 - t^6. - t^4.47/y - t^4.47*y | detail | |
968 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ | 0.6976 | 0.8545 | 0.8164 | [X:[], M:[1.0, 0.9574, 0.9148, 1.0426, 1.0213], q:[0.5533, 0.4467], qb:[0.532, 0.5107], phi:[0.4893]] | t^2.74 + t^2.87 + t^2.94 + t^3. + t^3.06 + t^3.13 + t^3.19 + t^4.15 + t^4.34 + t^4.4 + t^4.47 + t^4.53 + t^4.6 + 2*t^4.66 + t^4.72 + t^4.79 + t^5.49 + t^5.62 + t^5.74 + t^5.81 + 2*t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail | |
971 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_3^2$ | 0.7051 | 0.8629 | 0.8172 | [X:[], M:[1.0, 0.9027, 1.0, 0.9027, 1.0486], q:[0.5243, 0.4757], qb:[0.4757, 0.6216], phi:[0.4757]] | 2*t^2.71 + t^2.85 + 2*t^3. + t^3.15 + t^3.44 + 3*t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + t^4.86 + t^5.16 + 3*t^5.42 + 4*t^5.71 + 2*t^5.85 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
969 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_4^2$ | 0.7044 | 0.8621 | 0.8171 | [X:[], M:[1.0, 0.91, 0.91, 1.0, 1.045], q:[0.5675, 0.4325], qb:[0.5225, 0.5675], phi:[0.4775]] | 2*t^2.73 + t^2.87 + 2*t^3. + t^3.13 + t^3.4 + t^4.03 + t^4.3 + 2*t^4.43 + t^4.57 + 2*t^4.7 + 3*t^4.84 + 3*t^5.46 + 4*t^5.73 + 2*t^5.87 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
972 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_1^2$ + $ M_5M_6$ | 0.7126 | 0.8749 | 0.8145 | [X:[], M:[1.0, 0.8716, 0.9435, 0.928, 1.0642, 0.9358], q:[0.5603, 0.4397], qb:[0.4961, 0.6323], phi:[0.4679]] | t^2.61 + t^2.78 + 2*t^2.81 + t^2.83 + t^3. + t^3.58 + t^4.04 + t^4.21 + t^4.38 + t^4.4 + t^4.57 + t^4.62 + t^4.77 + t^4.79 + t^4.98 + t^5.2 + t^5.23 + t^5.4 + t^5.42 + t^5.45 + t^5.57 + t^5.59 + 5*t^5.61 + t^5.64 + t^5.66 + t^5.81 - 3*t^6. - t^4.4/y - t^4.4*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 |
---|---|---|---|---|---|---|---|---|---|
372 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ | 0.7103 | 0.8687 | 0.8177 | [X:[], M:[0.9326, 0.9326, 0.9326, 0.9326, 1.0674], q:[0.6011, 0.4663], qb:[0.4663, 0.6011], phi:[0.4663]] | 5*t^2.8 + t^3.2 + t^3.61 + 3*t^4.2 + 4*t^4.6 + 3*t^5.01 + 11*t^5.6 - 3*t^6. - t^4.4/y - t^4.4*y | detail |