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 |
---|---|---|---|---|---|---|---|---|---|
3884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7061 | 0.9132 | 0.7733 | [M:[0.7275, 0.8081, 0.6872, 0.8484, 1.1516, 0.8484, 0.7275, 0.8081], q:[0.8685, 0.404], qb:[0.4443, 0.7476], phi:[0.3839]] | [M:[[2, 10], [-6, -6], [-7, 7], [3, -3], [-3, 3], [3, -3], [-11, -1], [7, 5]], q:[[1, -7], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{8}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | -2 | t^2.061 + 2*t^2.182 + t^2.303 + 2*t^2.424 + 2*t^2.545 + t^3.697 + t^4.123 + 2*t^4.244 + 4*t^4.365 + 4*t^4.486 + 7*t^4.607 + 6*t^4.727 + 6*t^4.848 + 4*t^4.969 + 3*t^5.09 - 2*t^6. + t^6.184 + t^6.242 + 2*t^6.305 + 4*t^6.426 + 8*t^6.547 + 10*t^6.668 + 14*t^6.789 + 16*t^6.91 + 16*t^7.031 + 14*t^7.152 + 12*t^7.273 + 8*t^7.393 + 4*t^7.514 + 3*t^7.635 - 2*t^7.941 - 4*t^8.061 - 8*t^8.182 + t^8.246 - 7*t^8.303 + 2*t^8.367 - 10*t^8.424 + 4*t^8.488 - 7*t^8.545 + 8*t^8.609 - 4*t^8.666 + 15*t^8.73 + 18*t^8.85 + 27*t^8.971 - t^4.152/y - t^6.213/y - (2*t^6.334)/y - t^6.455/y - (2*t^6.576)/y - t^6.697/y + (2*t^7.244)/y + (2*t^7.365)/y + (4*t^7.486)/y + (7*t^7.607)/y + (8*t^7.727)/y + (4*t^7.848)/y + (6*t^7.969)/y + (2*t^8.09)/y - t^8.275/y - (2*t^8.396)/y - (4*t^8.516)/y - (4*t^8.637)/y - (5*t^8.758)/y - (2*t^8.879)/y - t^4.152*y - t^6.213*y - 2*t^6.334*y - t^6.455*y - 2*t^6.576*y - t^6.697*y + 2*t^7.244*y + 2*t^7.365*y + 4*t^7.486*y + 7*t^7.607*y + 8*t^7.727*y + 4*t^7.848*y + 6*t^7.969*y + 2*t^8.09*y - t^8.275*y - 2*t^8.396*y - 4*t^8.516*y - 4*t^8.637*y - 5*t^8.758*y - 2*t^8.879*y | (g2^7*t^2.061)/g1^7 + t^2.182/(g1^11*g2) + g1^2*g2^10*t^2.182 + (g2^2*t^2.303)/g1^2 + t^2.424/(g1^6*g2^6) + g1^7*g2^5*t^2.424 + (2*g1^3*t^2.545)/g2^3 + (g1^2*t^3.697)/g2^2 + (g2^14*t^4.123)/g1^14 + (g2^6*t^4.244)/g1^18 + (g2^17*t^4.244)/g1^5 + t^4.365/(g1^22*g2^2) + (2*g2^9*t^4.365)/g1^9 + g1^4*g2^20*t^4.365 + (2*g2*t^4.486)/g1^13 + 2*g2^12*t^4.486 + t^4.607/(g1^17*g2^7) + (5*g2^4*t^4.607)/g1^4 + g1^9*g2^15*t^4.607 + (3*t^4.727)/(g1^8*g2^4) + 3*g1^5*g2^7*t^4.727 + t^4.848/(g1^12*g2^12) + (4*g1*t^4.848)/g2 + g1^14*g2^10*t^4.848 + (2*t^4.969)/(g1^3*g2^9) + 2*g1^10*g2^2*t^4.969 + (3*g1^6*t^5.09)/g2^6 - 2*t^6. + (g2^21*t^6.184)/g1^21 + (g1^5*t^6.242)/g2^5 + (g2^13*t^6.305)/g1^25 + (g2^24*t^6.305)/g1^12 + (g2^5*t^6.426)/g1^29 + (2*g2^16*t^6.426)/g1^16 + (g2^27*t^6.426)/g1^3 + t^6.547/(g1^33*g2^3) + (3*g2^8*t^6.547)/g1^20 + (3*g2^19*t^6.547)/g1^7 + g1^6*g2^30*t^6.547 + (2*t^6.668)/g1^24 + (6*g2^11*t^6.668)/g1^11 + 2*g1^2*g2^22*t^6.668 + t^6.789/(g1^28*g2^8) + (6*g2^3*t^6.789)/g1^15 + (6*g2^14*t^6.789)/g1^2 + g1^11*g2^25*t^6.789 + (4*t^6.91)/(g1^19*g2^5) + (8*g2^6*t^6.91)/g1^6 + 4*g1^7*g2^17*t^6.91 + t^7.031/(g1^23*g2^13) + (7*t^7.031)/(g1^10*g2^2) + 7*g1^3*g2^9*t^7.031 + g1^16*g2^20*t^7.031 + (3*t^7.152)/(g1^14*g2^10) + (8*g2*t^7.152)/g1 + 3*g1^12*g2^12*t^7.152 + t^7.273/(g1^18*g2^18) + (5*t^7.273)/(g1^5*g2^7) + 5*g1^8*g2^4*t^7.273 + g1^21*g2^15*t^7.273 + (2*t^7.393)/(g1^9*g2^15) + (4*g1^4*t^7.393)/g2^4 + 2*g1^17*g2^7*t^7.393 + (2*t^7.514)/g2^12 + (2*g1^13*t^7.514)/g2 + (3*g1^9*t^7.635)/g2^9 - (g2^4*t^7.941)/g1^16 - (g2^15*t^7.941)/g1^3 - (4*g2^7*t^8.061)/g1^7 - (4*t^8.182)/(g1^11*g2) - 4*g1^2*g2^10*t^8.182 + (g2^28*t^8.246)/g1^28 - t^8.303/(g1^15*g2^9) - (5*g2^2*t^8.303)/g1^2 - g1^11*g2^13*t^8.303 + (g2^20*t^8.367)/g1^32 + (g2^31*t^8.367)/g1^19 - (5*t^8.424)/(g1^6*g2^6) - 5*g1^7*g2^5*t^8.424 + (g2^12*t^8.488)/g1^36 + (2*g2^23*t^8.488)/g1^23 + (g2^34*t^8.488)/g1^10 - (7*g1^3*t^8.545)/g2^3 + (g2^4*t^8.609)/g1^40 + (3*g2^15*t^8.609)/g1^27 + (3*g2^26*t^8.609)/g1^14 + (g2^37*t^8.609)/g1 - 2*g1^12*t^8.666 - (2*t^8.666)/(g1*g2^11) + t^8.73/(g1^44*g2^4) + (3*g2^7*t^8.73)/g1^31 + (7*g2^18*t^8.73)/g1^18 + (3*g2^29*t^8.73)/g1^5 + g1^8*g2^40*t^8.73 + (2*t^8.85)/(g1^35*g2) + (7*g2^10*t^8.85)/g1^22 + (7*g2^21*t^8.85)/g1^9 + 2*g1^4*g2^32*t^8.85 + t^8.971/(g1^39*g2^9) + (7*g2^2*t^8.971)/g1^26 + (11*g2^13*t^8.971)/g1^13 + 7*g2^24*t^8.971 + g1^13*g2^35*t^8.971 - (g2*t^4.152)/(g1*y) - (g2^8*t^6.213)/(g1^8*y) - t^6.334/(g1^12*y) - (g1*g2^11*t^6.334)/y - (g2^3*t^6.455)/(g1^3*y) - t^6.576/(g1^7*g2^5*y) - (g1^6*g2^6*t^6.576)/y - (g1^2*t^6.697)/(g2^2*y) + (g2^6*t^7.244)/(g1^18*y) + (g2^17*t^7.244)/(g1^5*y) + (2*g2^9*t^7.365)/(g1^9*y) + (2*g2*t^7.486)/(g1^13*y) + (2*g2^12*t^7.486)/y + t^7.607/(g1^17*g2^7*y) + (5*g2^4*t^7.607)/(g1^4*y) + (g1^9*g2^15*t^7.607)/y + (4*t^7.727)/(g1^8*g2^4*y) + (4*g1^5*g2^7*t^7.727)/y + (4*g1*t^7.848)/(g2*y) + (3*t^7.969)/(g1^3*g2^9*y) + (3*g1^10*g2^2*t^7.969)/y + (2*g1^6*t^8.09)/(g2^6*y) - (g2^15*t^8.275)/(g1^15*y) - (g2^7*t^8.396)/(g1^19*y) - (g2^18*t^8.396)/(g1^6*y) - t^8.516/(g1^23*g2*y) - (2*g2^10*t^8.516)/(g1^10*y) - (g1^3*g2^21*t^8.516)/y - (2*g2^2*t^8.637)/(g1^14*y) - (2*g2^13*t^8.637)/(g1*y) - t^8.758/(g1^18*g2^6*y) - (3*g2^5*t^8.758)/(g1^5*y) - (g1^8*g2^16*t^8.758)/y - t^8.879/(g1^9*g2^3*y) - (g1^4*g2^8*t^8.879)/y - (g2*t^4.152*y)/g1 - (g2^8*t^6.213*y)/g1^8 - (t^6.334*y)/g1^12 - g1*g2^11*t^6.334*y - (g2^3*t^6.455*y)/g1^3 - (t^6.576*y)/(g1^7*g2^5) - g1^6*g2^6*t^6.576*y - (g1^2*t^6.697*y)/g2^2 + (g2^6*t^7.244*y)/g1^18 + (g2^17*t^7.244*y)/g1^5 + (2*g2^9*t^7.365*y)/g1^9 + (2*g2*t^7.486*y)/g1^13 + 2*g2^12*t^7.486*y + (t^7.607*y)/(g1^17*g2^7) + (5*g2^4*t^7.607*y)/g1^4 + g1^9*g2^15*t^7.607*y + (4*t^7.727*y)/(g1^8*g2^4) + 4*g1^5*g2^7*t^7.727*y + (4*g1*t^7.848*y)/g2 + (3*t^7.969*y)/(g1^3*g2^9) + 3*g1^10*g2^2*t^7.969*y + (2*g1^6*t^8.09*y)/g2^6 - (g2^15*t^8.275*y)/g1^15 - (g2^7*t^8.396*y)/g1^19 - (g2^18*t^8.396*y)/g1^6 - (t^8.516*y)/(g1^23*g2) - (2*g2^10*t^8.516*y)/g1^10 - g1^3*g2^21*t^8.516*y - (2*g2^2*t^8.637*y)/g1^14 - (2*g2^13*t^8.637*y)/g1 - (t^8.758*y)/(g1^18*g2^6) - (3*g2^5*t^8.758*y)/g1^5 - g1^8*g2^16*t^8.758*y - (t^8.879*y)/(g1^9*g2^3) - g1^4*g2^8*t^8.879*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
3396 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6909 | 0.8877 | 0.7783 | [M:[0.7502, 0.7838, 0.6844, 0.8495, 1.1505, 0.8495, 0.7012], q:[0.8579, 0.3919], qb:[0.4576, 0.7586], phi:[0.3835]] | t^2.053 + t^2.104 + t^2.25 + t^2.301 + t^2.351 + 2*t^2.549 + t^3.502 + t^3.699 + t^4.106 + t^4.157 + t^4.207 + t^4.304 + 2*t^4.354 + 2*t^4.405 + t^4.455 + t^4.501 + t^4.551 + 4*t^4.602 + 3*t^4.652 + t^4.703 + 2*t^4.799 + 3*t^4.85 + 2*t^4.9 + 3*t^5.097 + t^5.555 + t^5.606 + t^5.752 + t^5.803 + t^5.853 - 2*t^6. - t^4.15/y - t^4.15*y | detail |