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 |
---|---|---|---|---|---|---|---|---|---|
2912 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6659 | 0.8858 | 0.7517 | [M:[1.0, 0.9268, 0.7408, 0.7408, 1.0732, 0.7042, 0.7042], q:[0.7592, 0.2408], qb:[0.5366, 0.5366], phi:[0.4817]] | [M:[[0, 0], [-8, -8], [-5, 3], [3, -5], [8, 8], [-1, -9], [-9, -1]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -5 | 2*t^2.113 + 2*t^2.223 + 2*t^2.332 + 2*t^2.89 + t^3. + t^3.22 + 3*t^4.225 + 4*t^4.335 + 7*t^4.445 + 4*t^4.555 + 6*t^4.665 + 4*t^5.003 + 4*t^5.113 + 6*t^5.223 + 4*t^5.332 + 2*t^5.442 + 2*t^5.552 + 3*t^5.78 + t^5.89 - 5*t^6. + t^6.11 + 4*t^6.338 + t^6.439 + 6*t^6.448 + 10*t^6.558 + 10*t^6.668 + 14*t^6.777 + 8*t^6.887 + 8*t^6.997 + 6*t^7.115 + 7*t^7.225 + 14*t^7.335 + 10*t^7.445 + 15*t^7.555 + 9*t^7.665 + t^7.775 + 6*t^7.885 + 6*t^7.893 + 4*t^8.003 - 4*t^8.113 - 6*t^8.223 - 12*t^8.332 - 2*t^8.442 + 5*t^8.451 + 8*t^8.561 + 2*t^8.662 + 17*t^8.67 + 2*t^8.772 + 16*t^8.78 + 12*t^8.89 - t^4.445/y - (2*t^6.558)/y - (2*t^6.668)/y + t^7.225/y + (3*t^7.335)/y + (5*t^7.445)/y + (5*t^7.555)/y + t^7.665/y + (4*t^8.003)/y + (6*t^8.113)/y + (8*t^8.223)/y + (6*t^8.332)/y + (2*t^8.442)/y + (2*t^8.552)/y - (3*t^8.67)/y - (3*t^8.78)/y - t^8.89/y - t^4.445*y - 2*t^6.558*y - 2*t^6.668*y + t^7.225*y + 3*t^7.335*y + 5*t^7.445*y + 5*t^7.555*y + t^7.665*y + 4*t^8.003*y + 6*t^8.113*y + 8*t^8.223*y + 6*t^8.332*y + 2*t^8.442*y + 2*t^8.552*y - 3*t^8.67*y - 3*t^8.78*y - t^8.89*y | t^2.113/(g1*g2^9) + t^2.113/(g1^9*g2) + (g1^3*t^2.223)/g2^5 + (g2^3*t^2.223)/g1^5 + (g1^7*t^2.332)/g2 + (g2^7*t^2.332)/g1 + (2*t^2.89)/(g1^4*g2^4) + t^3. + g1^8*g2^8*t^3.22 + t^4.225/(g1^2*g2^18) + t^4.225/(g1^10*g2^10) + t^4.225/(g1^18*g2^2) + (g1^2*t^4.335)/g2^14 + (2*t^4.335)/(g1^6*g2^6) + (g2^2*t^4.335)/g1^14 + (2*g1^6*t^4.445)/g2^10 + (3*t^4.445)/(g1^2*g2^2) + (2*g2^6*t^4.445)/g1^10 + (g1^10*t^4.555)/g2^6 + 2*g1^2*g2^2*t^4.555 + (g2^10*t^4.555)/g1^6 + (2*g1^14*t^4.665)/g2^2 + 2*g1^6*g2^6*t^4.665 + (2*g2^14*t^4.665)/g1^2 + (2*t^5.003)/(g1^5*g2^13) + (2*t^5.003)/(g1^13*g2^5) + (2*t^5.113)/(g1*g2^9) + (2*t^5.113)/(g1^9*g2) + (3*g1^3*t^5.223)/g2^5 + (3*g2^3*t^5.223)/g1^5 + (2*g1^7*t^5.332)/g2 + (2*g2^7*t^5.332)/g1 + g1^11*g2^3*t^5.442 + g1^3*g2^11*t^5.442 + g1^15*g2^7*t^5.552 + g1^7*g2^15*t^5.552 + (3*t^5.78)/(g1^8*g2^8) + t^5.89/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + g1^4*g2^4*t^6.11 + t^6.338/(g1^3*g2^27) + t^6.338/(g1^11*g2^19) + t^6.338/(g1^19*g2^11) + t^6.338/(g1^27*g2^3) + g1^16*g2^16*t^6.439 + (g1*t^6.448)/g2^23 + (2*t^6.448)/(g1^7*g2^15) + (2*t^6.448)/(g1^15*g2^7) + (g2*t^6.448)/g1^23 + (2*g1^5*t^6.558)/g2^19 + (3*t^6.558)/(g1^3*g2^11) + (3*t^6.558)/(g1^11*g2^3) + (2*g2^5*t^6.558)/g1^19 + (2*g1^9*t^6.668)/g2^15 + (3*g1*t^6.668)/g2^7 + (3*g2*t^6.668)/g1^7 + (2*g2^9*t^6.668)/g1^15 + (3*g1^13*t^6.777)/g2^11 + (4*g1^5*t^6.777)/g2^3 + (4*g2^5*t^6.777)/g1^3 + (3*g2^13*t^6.777)/g1^11 + (2*g1^17*t^6.887)/g2^7 + 2*g1^9*g2*t^6.887 + 2*g1*g2^9*t^6.887 + (2*g2^17*t^6.887)/g1^7 + (2*g1^21*t^6.997)/g2^3 + 2*g1^13*g2^5*t^6.997 + 2*g1^5*g2^13*t^6.997 + (2*g2^21*t^6.997)/g1^3 + (2*t^7.115)/(g1^6*g2^22) + (2*t^7.115)/(g1^14*g2^14) + (2*t^7.115)/(g1^22*g2^6) + (2*t^7.225)/(g1^2*g2^18) + (3*t^7.225)/(g1^10*g2^10) + (2*t^7.225)/(g1^18*g2^2) + (4*g1^2*t^7.335)/g2^14 + (6*t^7.335)/(g1^6*g2^6) + (4*g2^2*t^7.335)/g1^14 + (3*g1^6*t^7.445)/g2^10 + (4*t^7.445)/(g1^2*g2^2) + (3*g2^6*t^7.445)/g1^10 + (5*g1^10*t^7.555)/g2^6 + 5*g1^2*g2^2*t^7.555 + (5*g2^10*t^7.555)/g1^6 + (3*g1^14*t^7.665)/g2^2 + 3*g1^6*g2^6*t^7.665 + (3*g2^14*t^7.665)/g1^2 + g1^10*g2^10*t^7.775 + 2*g1^22*g2^6*t^7.885 + 2*g1^14*g2^14*t^7.885 + 2*g1^6*g2^22*t^7.885 + (3*t^7.893)/(g1^9*g2^17) + (3*t^7.893)/(g1^17*g2^9) + (2*t^8.003)/(g1^5*g2^13) + (2*t^8.003)/(g1^13*g2^5) - (g1^7*t^8.113)/g2^17 - t^8.113/(g1*g2^9) - t^8.113/(g1^9*g2) - (g2^7*t^8.113)/g1^17 - (g1^11*t^8.223)/g2^13 - (2*g1^3*t^8.223)/g2^5 - (2*g2^3*t^8.223)/g1^5 - (g2^11*t^8.223)/g1^13 - (g1^15*t^8.332)/g2^9 - (5*g1^7*t^8.332)/g2 - (5*g2^7*t^8.332)/g1 - (g2^15*t^8.332)/g1^9 - g1^11*g2^3*t^8.442 - g1^3*g2^11*t^8.442 + t^8.451/(g1^4*g2^36) + t^8.451/(g1^12*g2^28) + t^8.451/(g1^20*g2^20) + t^8.451/(g1^28*g2^12) + t^8.451/(g1^36*g2^4) + t^8.561/g1^32 + t^8.561/g2^32 + (2*t^8.561)/(g1^8*g2^24) + (2*t^8.561)/(g1^16*g2^16) + (2*t^8.561)/(g1^24*g2^8) + g1^19*g2^11*t^8.662 + g1^11*g2^19*t^8.662 + (2*g1^4*t^8.67)/g2^28 + (3*t^8.67)/(g1^4*g2^20) + (7*t^8.67)/(g1^12*g2^12) + (3*t^8.67)/(g1^20*g2^4) + (2*g2^4*t^8.67)/g1^28 + g1^23*g2^15*t^8.772 + g1^15*g2^23*t^8.772 + (4*t^8.78)/g1^16 + (2*g1^8*t^8.78)/g2^24 + (4*t^8.78)/g2^16 + (4*t^8.78)/(g1^8*g2^8) + (2*g2^8*t^8.78)/g1^24 + (4*g1^12*t^8.89)/g2^20 + (3*g1^4*t^8.89)/g2^12 - (2*t^8.89)/(g1^4*g2^4) + (3*g2^4*t^8.89)/g1^12 + (4*g2^12*t^8.89)/g1^20 - t^4.445/(g1^2*g2^2*y) - t^6.558/(g1^3*g2^11*y) - t^6.558/(g1^11*g2^3*y) - (g1*t^6.668)/(g2^7*y) - (g2*t^6.668)/(g1^7*y) + t^7.225/(g1^10*g2^10*y) + (g1^2*t^7.335)/(g2^14*y) + t^7.335/(g1^6*g2^6*y) + (g2^2*t^7.335)/(g1^14*y) + (g1^6*t^7.445)/(g2^10*y) + (3*t^7.445)/(g1^2*g2^2*y) + (g2^6*t^7.445)/(g1^10*y) + (g1^10*t^7.555)/(g2^6*y) + (3*g1^2*g2^2*t^7.555)/y + (g2^10*t^7.555)/(g1^6*y) + (g1^6*g2^6*t^7.665)/y + (2*t^8.003)/(g1^5*g2^13*y) + (2*t^8.003)/(g1^13*g2^5*y) + (3*t^8.113)/(g1*g2^9*y) + (3*t^8.113)/(g1^9*g2*y) + (4*g1^3*t^8.223)/(g2^5*y) + (4*g2^3*t^8.223)/(g1^5*y) + (3*g1^7*t^8.332)/(g2*y) + (3*g2^7*t^8.332)/(g1*y) + (g1^11*g2^3*t^8.442)/y + (g1^3*g2^11*t^8.442)/y + (g1^15*g2^7*t^8.552)/y + (g1^7*g2^15*t^8.552)/y - t^8.67/(g1^4*g2^20*y) - t^8.67/(g1^12*g2^12*y) - t^8.67/(g1^20*g2^4*y) - t^8.78/(g1^16*y) - t^8.78/(g2^16*y) - t^8.78/(g1^8*g2^8*y) - (g1^4*t^8.89)/(g2^12*y) + t^8.89/(g1^4*g2^4*y) - (g2^4*t^8.89)/(g1^12*y) - (t^4.445*y)/(g1^2*g2^2) - (t^6.558*y)/(g1^3*g2^11) - (t^6.558*y)/(g1^11*g2^3) - (g1*t^6.668*y)/g2^7 - (g2*t^6.668*y)/g1^7 + (t^7.225*y)/(g1^10*g2^10) + (g1^2*t^7.335*y)/g2^14 + (t^7.335*y)/(g1^6*g2^6) + (g2^2*t^7.335*y)/g1^14 + (g1^6*t^7.445*y)/g2^10 + (3*t^7.445*y)/(g1^2*g2^2) + (g2^6*t^7.445*y)/g1^10 + (g1^10*t^7.555*y)/g2^6 + 3*g1^2*g2^2*t^7.555*y + (g2^10*t^7.555*y)/g1^6 + g1^6*g2^6*t^7.665*y + (2*t^8.003*y)/(g1^5*g2^13) + (2*t^8.003*y)/(g1^13*g2^5) + (3*t^8.113*y)/(g1*g2^9) + (3*t^8.113*y)/(g1^9*g2) + (4*g1^3*t^8.223*y)/g2^5 + (4*g2^3*t^8.223*y)/g1^5 + (3*g1^7*t^8.332*y)/g2 + (3*g2^7*t^8.332*y)/g1 + g1^11*g2^3*t^8.442*y + g1^3*g2^11*t^8.442*y + g1^15*g2^7*t^8.552*y + g1^7*g2^15*t^8.552*y - (t^8.67*y)/(g1^4*g2^20) - (t^8.67*y)/(g1^12*g2^12) - (t^8.67*y)/(g1^20*g2^4) - (t^8.78*y)/g1^16 - (t^8.78*y)/g2^16 - (t^8.78*y)/(g1^8*g2^8) - (g1^4*t^8.89*y)/g2^12 + (t^8.89*y)/(g1^4*g2^4) - (g2^4*t^8.89*y)/g1^12 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1889 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6455 | 0.8475 | 0.7617 | [M:[1.0, 0.9383, 0.7475, 0.7371, 1.0617, 0.7063], q:[0.7577, 0.2423], qb:[0.5256, 0.536], phi:[0.4846]] | t^2.119 + t^2.211 + t^2.242 + t^2.304 + t^2.335 + 2*t^2.908 + t^3. + t^3.185 + t^3.85 + t^4.238 + t^4.33 + t^4.361 + 2*t^4.423 + 2*t^4.454 + t^4.485 + t^4.515 + 2*t^4.546 + t^4.577 + 2*t^4.608 + 2*t^4.639 + 2*t^4.67 + 2*t^5.026 + 2*t^5.119 + t^5.15 + 3*t^5.211 + 3*t^5.242 + 2*t^5.304 + t^5.335 + t^5.396 + t^5.427 + t^5.489 + t^5.52 + 3*t^5.815 + t^5.908 - 3*t^6. - t^4.454/y - t^4.454*y | detail |