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Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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

#	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
3353	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6351	0.8273	0.7677	[M:[0.9627, 1.112, 1.0373, 0.888, 0.8153, 0.8153, 0.888], q:[0.7407, 0.2966], qb:[0.444, 0.444], phi:[0.5187]]	[M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-13, -1], [-1, -13], [12, 12]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$	${}\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$	-2	2*t^2.222 + 2*t^2.446 + 2*t^2.664 + 2*t^3.112 + 2*t^3.778 + 3*t^4.22 + 3*t^4.444 + 4*t^4.668 + 4*t^4.886 + 3*t^4.892 + 4*t^5.11 + 3*t^5.328 + 4*t^5.334 + 2*t^5.558 + 3*t^5.776 - 2*t^6. + 5*t^6.224 + 6*t^6.442 + 6*t^6.666 + 6*t^6.884 + 6*t^6.89 + 3*t^7.108 + 4*t^7.114 + 9*t^7.332 + 4*t^7.338 + 6*t^7.55 + 7*t^7.556 + 4*t^7.774 + 4*t^7.78 + 4*t^7.992 + 6*t^7.998 + 2*t^8.004 - 4*t^8.222 + 9*t^8.44 - 2*t^8.446 - 3*t^8.664 + 4*t^8.67 + 10*t^8.888 - t^4.556/y - (2*t^7.002)/y - t^7.22/y + (2*t^7.444)/y + (3*t^7.668)/y + (4*t^7.886)/y + (2*t^7.892)/y + (6*t^8.11)/y + t^8.328/y + (4*t^8.334)/y + (4*t^8.558)/y + (4*t^8.776)/y - t^4.556*y - 2*t^7.002*y - t^7.22*y + 2*t^7.444*y + 3*t^7.668*y + 4*t^7.886*y + 2*t^7.892*y + 6*t^8.11*y + t^8.328*y + 4*t^8.334*y + 4*t^8.558*y + 4*t^8.776*y	(g1^7*t^2.222)/g2^5 + (g2^7*t^2.222)/g1^5 + t^2.446/(g1*g2^13) + t^2.446/(g1^13*g2) + 2*g1^12*g2^12*t^2.664 + (2*t^3.112)/(g1^4*g2^4) + (g1^5*t^3.778)/g2^7 + (g2^5*t^3.778)/g1^7 + (g1^22*t^4.22)/g2^2 + g1^10*g2^10*t^4.22 + (g2^22*t^4.22)/g1^2 + (g1^14*t^4.444)/g2^10 + g1^2*g2^2*t^4.444 + (g2^14*t^4.444)/g1^10 + (g1^6*t^4.668)/g2^18 + (2*t^4.668)/(g1^6*g2^6) + (g2^6*t^4.668)/g1^18 + 2*g1^19*g2^7*t^4.886 + 2*g1^7*g2^19*t^4.886 + t^4.892/(g1^2*g2^26) + t^4.892/(g1^14*g2^14) + t^4.892/(g1^26*g2^2) + (2*g1^11*t^5.11)/g2 + (2*g2^11*t^5.11)/g1 + 3*g1^24*g2^24*t^5.328 + (2*g1^3*t^5.334)/g2^9 + (2*g2^3*t^5.334)/g1^9 + t^5.558/(g1^5*g2^17) + t^5.558/(g1^17*g2^5) + 3*g1^8*g2^8*t^5.776 - 2*t^6. + (g1^4*t^6.224)/g2^20 + (3*t^6.224)/(g1^8*g2^8) + (g2^4*t^6.224)/g1^20 + (g1^29*t^6.442)/g2^7 + 2*g1^17*g2^5*t^6.442 + 2*g1^5*g2^17*t^6.442 + (g2^29*t^6.442)/g1^7 + (2*g1^21*t^6.666)/g2^15 + (g1^9*t^6.666)/g2^3 + (g2^9*t^6.666)/g1^3 + (2*g2^21*t^6.666)/g1^15 + 2*g1^34*g2^10*t^6.884 + 2*g1^22*g2^22*t^6.884 + 2*g1^10*g2^34*t^6.884 + (g1^13*t^6.89)/g2^23 + (2*g1*t^6.89)/g2^11 + (2*g2*t^6.89)/g1^11 + (g2^13*t^6.89)/g1^23 + g1^26*g2^2*t^7.108 + g1^14*g2^14*t^7.108 + g1^2*g2^26*t^7.108 + (g1^5*t^7.114)/g2^31 + t^7.114/(g1^7*g2^19) + t^7.114/(g1^19*g2^7) + (g2^5*t^7.114)/g1^31 + (3*g1^18*t^7.332)/g2^6 + 3*g1^6*g2^6*t^7.332 + (3*g2^18*t^7.332)/g1^6 + t^7.338/(g1^3*g2^39) + t^7.338/(g1^15*g2^27) + t^7.338/(g1^27*g2^15) + t^7.338/(g1^39*g2^3) + 3*g1^31*g2^19*t^7.55 + 3*g1^19*g2^31*t^7.55 + (3*g1^10*t^7.556)/g2^14 + t^7.556/(g1^2*g2^2) + (3*g2^10*t^7.556)/g1^14 + 2*g1^23*g2^11*t^7.774 + 2*g1^11*g2^23*t^7.774 + (g1^2*t^7.78)/g2^22 + (2*t^7.78)/(g1^10*g2^10) + (g2^2*t^7.78)/g1^22 + 4*g1^36*g2^36*t^7.992 + (g1^27*t^7.998)/g2^9 + 2*g1^15*g2^3*t^7.998 + 2*g1^3*g2^15*t^7.998 + (g2^27*t^7.998)/g1^9 + t^8.004/(g1^6*g2^30) + t^8.004/(g1^30*g2^6) - (2*g1^7*t^8.222)/g2^5 - (2*g2^7*t^8.222)/g1^5 + (g1^44*t^8.44)/g2^4 + g1^32*g2^8*t^8.44 + 5*g1^20*g2^20*t^8.44 + g1^8*g2^32*t^8.44 + (g2^44*t^8.44)/g1^4 - t^8.446/(g1*g2^13) - t^8.446/(g1^13*g2) + (g1^36*t^8.664)/g2^12 - 5*g1^12*g2^12*t^8.664 + (g2^36*t^8.664)/g1^12 + (g1^3*t^8.67)/g2^33 + t^8.67/(g1^9*g2^21) + t^8.67/(g1^21*g2^9) + (g2^3*t^8.67)/g1^33 + (2*g1^28*t^8.888)/g2^20 + (2*g1^16*t^8.888)/g2^8 + 2*g1^4*g2^4*t^8.888 + (2*g2^16*t^8.888)/g1^8 + (2*g2^28*t^8.888)/g1^20 - t^4.556/(g1^2*g2^2*y) - t^7.002/(g1^3*g2^15*y) - t^7.002/(g1^15*g2^3*y) - (g1^10*g2^10*t^7.22)/y + (2*g1^2*g2^2*t^7.444)/y + (g1^6*t^7.668)/(g2^18*y) + t^7.668/(g1^6*g2^6*y) + (g2^6*t^7.668)/(g1^18*y) + (2*g1^19*g2^7*t^7.886)/y + (2*g1^7*g2^19*t^7.886)/y + (2*t^7.892)/(g1^14*g2^14*y) + (3*g1^11*t^8.11)/(g2*y) + (3*g2^11*t^8.11)/(g1*y) + (g1^24*g2^24*t^8.328)/y + (2*g1^3*t^8.334)/(g2^9*y) + (2*g2^3*t^8.334)/(g1^9*y) + (2*t^8.558)/(g1^5*g2^17*y) + (2*t^8.558)/(g1^17*g2^5*y) + (4*g1^8*g2^8*t^8.776)/y - (t^4.556*y)/(g1^2*g2^2) - (t^7.002*y)/(g1^3*g2^15) - (t^7.002*y)/(g1^15*g2^3) - g1^10*g2^10*t^7.22*y + 2*g1^2*g2^2*t^7.444*y + (g1^6*t^7.668*y)/g2^18 + (t^7.668*y)/(g1^6*g2^6) + (g2^6*t^7.668*y)/g1^18 + 2*g1^19*g2^7*t^7.886*y + 2*g1^7*g2^19*t^7.886*y + (2*t^7.892*y)/(g1^14*g2^14) + (3*g1^11*t^8.11*y)/g2 + (3*g2^11*t^8.11*y)/g1 + g1^24*g2^24*t^8.328*y + (2*g1^3*t^8.334*y)/g2^9 + (2*g2^3*t^8.334*y)/g1^9 + (2*t^8.558*y)/(g1^5*g2^17) + (2*t^8.558*y)/(g1^17*g2^5) + 4*g1^8*g2^8*t^8.776*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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
2823	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6271	0.8133	0.771	[M:[0.9796, 1.0612, 1.0204, 0.9388, 0.7857, 0.7857], q:[0.7449, 0.2755], qb:[0.4694, 0.4694], phi:[0.5102]]	2*t^2.235 + 2*t^2.357 + t^2.816 + 2*t^3.061 + t^3.184 + 2*t^3.765 + 3*t^4.347 + 3*t^4.469 + 4*t^4.592 + 3*t^4.714 + 2*t^5.051 + 2*t^5.174 + 4*t^5.296 + 4*t^5.418 + 2*t^5.541 + t^5.633 + t^5.878 - t^6. - t^4.531/y - t^4.531*y	detail