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 |
---|---|---|---|---|---|---|---|---|---|
50988 | 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_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3^2$ + $ M_1M_4$ | 0.706 | 0.8681 | 0.8132 | [X:[], M:[0.9248, 0.8495, 1.0, 1.0752, 0.9583, 0.9665, 1.0376], q:[0.5961, 0.4791], qb:[0.5544, 0.4456], phi:[0.4812]] | [X:[], M:[[4, 4], [8, 8], [0, 0], [-4, -4], [8, 0], [-4, 4], [-2, -2]], q:[[-8, -4], [4, 0]], qb:[[0, -4], [0, 4]], phi:[[1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_1$, $ M_5$, $ M_6$, $ M_3$, $ M_7$, $ M_4$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ M_1^2$, $ M_2M_3$, $ M_2M_7$, $ M_5^2$, $ M_1M_3$, $ M_2M_4$, $ M_5M_6$, $ M_6^2$, $ M_1M_7$, $ M_5M_7$ | . | -2 | t^2.55 + t^2.77 + t^2.87 + t^2.9 + t^3. + t^3.11 + t^3.23 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.9 + t^5.02 + t^5.1 + t^5.32 + t^5.42 + t^5.45 + t^5.55 + t^5.66 + t^5.75 + 2*t^5.77 + t^5.8 + t^5.89 + t^5.99 - 2*t^6. + t^6.01 + t^6.11 - t^6.33 + t^6.34 - t^6.35 + t^6.67 + t^6.77 + t^6.87 + t^6.89 + 2*t^6.99 + t^7.02 + 2*t^7.09 + 2*t^7.12 + t^7.19 + 2*t^7.22 + 2*t^7.32 + t^7.34 + t^7.42 + 2*t^7.44 + t^7.47 + 2*t^7.54 + t^7.57 + t^7.64 + t^7.65 + t^7.77 + t^7.79 + t^7.87 + t^7.9 + t^7.92 + t^7.97 + t^8. + t^8.1 + t^8.21 + t^8.23 + t^8.25 + t^8.3 + 2*t^8.32 + t^8.34 + t^8.35 + 2*t^8.44 - t^8.45 + 2*t^8.54 - 3*t^8.55 + 2*t^8.56 + t^8.62 + t^8.64 + 2*t^8.66 + t^8.69 + t^8.7 + t^8.76 - 3*t^8.77 + t^8.79 + 2*t^8.86 - 5*t^8.87 + 4*t^8.89 - 4*t^8.9 + t^8.91 + 2*t^8.99 - t^4.44/y - t^6.99/y - t^7.32/y - t^7.34/y + t^7.54/y + t^7.57/y + t^7.9/y + t^8.32/y + t^8.42/y + t^8.45/y + t^8.55/y + t^8.65/y + t^8.66/y + t^8.67/y + (3*t^8.77)/y + t^8.87/y + t^8.89/y + t^8.9/y + t^8.99/y - t^4.44*y - t^6.99*y - t^7.32*y - t^7.34*y + t^7.54*y + t^7.57*y + t^7.9*y + t^8.32*y + t^8.42*y + t^8.45*y + t^8.55*y + t^8.65*y + t^8.66*y + t^8.67*y + 3*t^8.77*y + t^8.87*y + t^8.89*y + t^8.9*y + t^8.99*y | g1^8*g2^8*t^2.55 + g1^4*g2^4*t^2.77 + g1^8*t^2.87 + (g2^4*t^2.9)/g1^4 + t^3. + t^3.11/(g1^2*g2^2) + t^3.23/(g1^4*g2^4) + g1*g2^9*t^4.12 + g1^5*g2^5*t^4.22 + g1^9*g2*t^4.32 + g1*g2*t^4.44 + (g1^5*t^4.54)/g2^3 + (g2*t^4.57)/g1^7 + t^4.67/(g1^3*g2^3) + (g1*t^4.77)/g2^7 + t^4.9/(g1^7*g2^7) + t^5.02/(g1^15*g2^7) + g1^16*g2^16*t^5.1 + g1^12*g2^12*t^5.32 + g1^16*g2^8*t^5.42 + g1^4*g2^12*t^5.45 + g1^8*g2^8*t^5.55 + g1^6*g2^6*t^5.66 + g1^16*t^5.75 + 2*g1^4*g2^4*t^5.77 + (g2^8*t^5.8)/g1^8 + g1^2*g2^2*t^5.89 + (g1^6*t^5.99)/g2^2 - 2*t^6. + (g2^2*t^6.01)/g1^6 + t^6.11/(g1^2*g2^2) - t^6.33/g2^8 + t^6.34/(g1^6*g2^6) - t^6.35/(g1^12*g2^4) + g1^9*g2^17*t^6.67 + g1^13*g2^13*t^6.77 + g1^17*g2^9*t^6.87 + g1^5*g2^13*t^6.89 + 2*g1^9*g2^9*t^6.99 + (g2^13*t^7.02)/g1^3 + 2*g1^13*g2^5*t^7.09 + 2*g1*g2^9*t^7.12 + g1^17*g2*t^7.19 + 2*g1^5*g2^5*t^7.22 + 2*g1^9*g2*t^7.32 + (g2^5*t^7.34)/g1^3 + (g1^13*t^7.42)/g2^3 + 2*g1*g2*t^7.44 + (g2^5*t^7.47)/g1^11 + (2*g1^5*t^7.54)/g2^3 + (g2*t^7.57)/g1^7 + (g1^9*t^7.64)/g2^7 + g1^24*g2^24*t^7.65 + (g1*t^7.77)/g2^7 + t^7.79/(g1^11*g2^3) + g1^20*g2^20*t^7.87 + t^7.9/(g1^7*g2^7) + t^7.92/(g1^19*g2^3) + g1^24*g2^16*t^7.97 + g1^12*g2^20*t^8. + g1^16*g2^16*t^8.1 + g1^14*g2^14*t^8.21 + g1^2*g2^18*t^8.23 + t^8.25/(g1^19*g2^11) + g1^24*g2^8*t^8.3 + 2*g1^12*g2^12*t^8.32 + g1^6*g2^14*t^8.34 + g2^16*t^8.35 + 2*g1^10*g2^10*t^8.44 - g1^4*g2^12*t^8.45 + 2*g1^14*g2^6*t^8.54 - 3*g1^8*g2^8*t^8.55 + 2*g1^2*g2^10*t^8.56 + g1^24*t^8.62 + g1^18*g2^2*t^8.64 + 2*g1^6*g2^6*t^8.66 + (g2^10*t^8.69)/g1^6 + (g2^12*t^8.7)/g1^12 + g1^10*g2^2*t^8.76 - 3*g1^4*g2^4*t^8.77 + (g2^6*t^8.79)/g1^2 + (2*g1^14*t^8.86)/g2^2 - 5*g1^8*t^8.87 + 4*g1^2*g2^2*t^8.89 - (4*g2^4*t^8.9)/g1^4 + (g2^6*t^8.91)/g1^10 + (2*g1^6*t^8.99)/g2^2 - (g1*g2*t^4.44)/y - (g1^9*g2^9*t^6.99)/y - (g1^9*g2*t^7.32)/y - (g2^5*t^7.34)/(g1^3*y) + (g1^5*t^7.54)/(g2^3*y) + (g2*t^7.57)/(g1^7*y) + t^7.9/(g1^7*g2^7*y) + (g1^12*g2^12*t^8.32)/y + (g1^16*g2^8*t^8.42)/y + (g1^4*g2^12*t^8.45)/y + (g1^8*g2^8*t^8.55)/y + (g1^12*g2^4*t^8.65)/y + (g1^6*g2^6*t^8.66)/y + (g2^8*t^8.67)/y + (3*g1^4*g2^4*t^8.77)/y + (g1^8*t^8.87)/y + (g1^2*g2^2*t^8.89)/y + (g2^4*t^8.9)/(g1^4*y) + (g1^6*t^8.99)/(g2^2*y) - g1*g2*t^4.44*y - g1^9*g2^9*t^6.99*y - g1^9*g2*t^7.32*y - (g2^5*t^7.34*y)/g1^3 + (g1^5*t^7.54*y)/g2^3 + (g2*t^7.57*y)/g1^7 + (t^7.9*y)/(g1^7*g2^7) + g1^12*g2^12*t^8.32*y + g1^16*g2^8*t^8.42*y + g1^4*g2^12*t^8.45*y + g1^8*g2^8*t^8.55*y + g1^12*g2^4*t^8.65*y + g1^6*g2^6*t^8.66*y + g2^8*t^8.67*y + 3*g1^4*g2^4*t^8.77*y + g1^8*t^8.87*y + g1^2*g2^2*t^8.89*y + (g2^4*t^8.9*y)/g1^4 + (g1^6*t^8.99*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
56285 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_8$ | 0.7136 | 0.8827 | 0.8084 | [X:[], M:[0.9086, 0.8172, 1.0, 1.0914, 0.9483, 0.9603, 1.0457, 0.9086], q:[0.6173, 0.4742], qb:[0.5656, 0.4344], phi:[0.4771]] | t^2.45 + 2*t^2.73 + t^2.84 + t^2.88 + t^3. + t^3.14 + t^4.04 + t^4.16 + t^4.28 + t^4.43 + t^4.55 + t^4.59 + t^4.71 + t^4.82 + t^4.9 + t^4.98 + t^5.13 + 2*t^5.18 + t^5.3 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.59 + t^5.61 + t^5.69 + 2*t^5.73 + t^5.76 + 2*t^5.86 + t^5.98 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
56284 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_1^2$ | 0.6728 | 0.8419 | 0.7992 | [X:[], M:[0.8357, 0.6714, 1.0, 1.1643, 0.7875, 1.0481, 1.0822], q:[0.7705, 0.3938], qb:[0.5581, 0.4419], phi:[0.4589]] | t^2.01 + t^2.36 + t^2.51 + t^3. + t^3.14 + t^3.25 + t^3.49 + t^3.74 + t^3.88 + 2*t^4.03 + t^4.23 + 2*t^4.38 + t^4.52 + 2*t^4.73 + t^4.87 + 2*t^5.01 + t^5.16 + t^5.26 + t^5.36 + 2*t^5.51 + t^5.61 + 2*t^5.75 + t^5.9 - t^6. - t^4.38/y - t^4.38*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 |
---|---|---|---|---|---|---|---|---|---|
46978 | 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_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3^2$ | 0.7536 | 0.9338 | 0.807 | [X:[], M:[0.693, 0.8465, 1.0, 0.8465, 0.8465, 0.8465, 1.1535], q:[0.6535, 0.6535], qb:[0.5, 0.5], phi:[0.4233]] | t^2.08 + 4*t^2.54 + t^3. + t^3.46 + t^4.16 + 3*t^4.27 + 4*t^4.62 + 4*t^4.73 + 11*t^5.08 + 3*t^5.19 + t^5.54 - 3*t^6. - t^4.27/y - t^4.27*y | detail |