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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
1815	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.7133	0.8853	0.8057	[M:[0.9782, 0.7152, 1.0218, 0.6716, 0.9782], q:[0.4817, 0.5401], qb:[0.4965, 0.7883], phi:[0.4234]]	[M:[[1, -7], [-1, -1], [-1, 7], [1, -15], [1, -7]], q:[[0, -7], [-1, 14]], qb:[[1, 0], [0, 1]], phi:[[0, -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
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$	${}$	-3	t^2.015 + t^2.146 + t^2.54 + 2*t^2.935 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.205 + t^4.249 + t^4.291 + t^4.335 + t^4.38 + t^4.51 + t^4.555 + t^4.686 + 2*t^4.95 + 3*t^5.08 + t^5.125 + t^5.255 + 2*t^5.475 + t^5.65 + 2*t^5.869 - 3*t^6. + t^6.044 + t^6.045 - t^6.131 + t^6.175 + t^6.219 + t^6.22 + t^6.264 + 2*t^6.306 + 2*t^6.35 + t^6.395 + t^6.437 + t^6.481 + t^6.525 + t^6.57 + t^6.656 + 2*t^6.701 + 2*t^6.745 + t^6.789 + t^6.831 + 2*t^6.964 + t^7.05 + 4*t^7.095 + 2*t^7.139 + 2*t^7.184 + 2*t^7.226 + t^7.27 + t^7.314 + t^7.359 + t^7.445 + t^7.489 + 2*t^7.49 + 4*t^7.62 - t^7.709 - t^7.84 + 2*t^7.884 - t^7.97 + t^8.015 + 2*t^8.059 - 4*t^8.146 + 2*t^8.19 + t^8.234 - t^8.276 + t^8.279 + 2*t^8.321 + 2*t^8.365 + 4*t^8.409 + 2*t^8.451 + t^8.454 + 2*t^8.496 + t^8.498 - 2*t^8.54 + t^8.582 + t^8.584 + t^8.585 + t^8.626 + t^8.629 + t^8.671 + t^8.715 + 2*t^8.759 + t^8.76 + t^8.801 + 3*t^8.804 + 3*t^8.846 + 2*t^8.89 - 6*t^8.935 + t^8.977 + 2*t^8.979 - t^4.27/y - t^6.285/y - t^6.416/y - t^6.81/y + t^7.16/y - t^7.205/y + t^7.335/y + t^7.555/y + t^7.686/y + t^7.73/y + (2*t^7.95)/y + (2*t^8.08)/y + (2*t^8.125)/y + (2*t^8.255)/y - t^8.3/y - t^8.43/y + (2*t^8.475)/y - t^8.561/y + t^8.65/y + t^8.869/y - t^4.27*y - t^6.285*y - t^6.416*y - t^6.81*y + t^7.16*y - t^7.205*y + t^7.335*y + t^7.555*y + t^7.686*y + t^7.73*y + 2*t^7.95*y + 2*t^8.08*y + 2*t^8.125*y + 2*t^8.255*y - t^8.3*y - t^8.43*y + 2*t^8.475*y - t^8.561*y + t^8.65*y + t^8.869*y	(g1*t^2.015)/g2^15 + t^2.146/(g1*g2) + t^2.54/g2^4 + (2*g1*t^2.935)/g2^7 + g2^14*t^3.11 + t^3.81/g2^6 + (g1^2*t^4.03)/g2^30 + (2*t^4.16)/g2^16 + (g1*t^4.205)/g2^9 + (g1^2*t^4.249)/g2^2 + t^4.291/(g1^2*g2^2) + (g2^5*t^4.335)/g1 + g2^12*t^4.38 + (g2^26*t^4.51)/g1^2 + (g1*t^4.555)/g2^19 + t^4.686/(g1*g2^5) + (2*g1^2*t^4.95)/g2^22 + (3*t^5.08)/g2^8 + (g1*t^5.125)/g2 + (g2^13*t^5.255)/g1 + (2*g1*t^5.475)/g2^11 + g2^10*t^5.65 + (2*g1^2*t^5.869)/g2^14 - 3*t^6. + g1*g2^7*t^6.044 + (g1^3*t^6.045)/g2^45 - (g2^14*t^6.131)/g1^2 + (2*g1*t^6.175)/g2^31 - (g2^21*t^6.175)/g1 + g2^28*t^6.219 + (g1^2*t^6.22)/g2^24 + (g1^3*t^6.264)/g2^17 + (2*t^6.306)/(g1*g2^17) + (2*t^6.35)/g2^10 + (g1*t^6.395)/g2^3 + t^6.437/(g1^3*g2^3) + (g2^4*t^6.481)/g1^2 + (g2^11*t^6.525)/g1 + (g1^2*t^6.57)/g2^34 + (g2^25*t^6.656)/g1^3 + (2*t^6.701)/g2^20 + (2*g1*t^6.745)/g2^13 + (g1^2*t^6.789)/g2^6 + t^6.831/(g1^2*g2^6) + (2*g1^3*t^6.964)/g2^37 + (g2^22*t^7.05)/g1^2 + (4*g1*t^7.095)/g2^23 + (2*g1^2*t^7.139)/g2^16 + (2*g1^3*t^7.184)/g2^9 + (2*t^7.226)/(g1*g2^9) + t^7.27/g2^2 + g1*g2^5*t^7.314 + g1^2*g2^12*t^7.359 + (g2^19*t^7.445)/g1 + g2^26*t^7.489 + (2*g1^2*t^7.49)/g2^26 + (3*t^7.62)/g2^12 + (g2^40*t^7.62)/g1^2 - g1^2*g2^2*t^7.709 - g2^16*t^7.84 + (2*g1^3*t^7.884)/g2^29 - (g2^30*t^7.97)/g1^2 + (g1*t^8.015)/g2^15 + (g1^4*t^8.059)/g2^60 + (g1^2*t^8.059)/g2^8 - (4*t^8.146)/(g1*g2) + (2*g1^2*t^8.19)/g2^46 + (g1^3*t^8.234)/g2^39 - (g2^13*t^8.276)/g1^3 + (g1^4*t^8.279)/g2^32 + (3*t^8.321)/g2^32 - (g2^20*t^8.321)/g1^2 + (2*g1*t^8.365)/g2^25 + (4*g1^2*t^8.409)/g2^18 + (2*t^8.451)/(g1^2*g2^18) + (g1^3*t^8.454)/g2^11 + (2*t^8.496)/(g1*g2^11) + (g1^4*t^8.498)/g2^4 - (2*t^8.54)/g2^4 + t^8.582/(g1^4*g2^4) + g1*g2^3*t^8.584 + (g1^3*t^8.585)/g2^49 + (g2^3*t^8.626)/g1^3 + g1^2*g2^10*t^8.629 + (g2^10*t^8.671)/g1^2 + (2*g1*t^8.715)/g2^35 - (g2^17*t^8.715)/g1 + 2*g2^24*t^8.759 + (g1^2*t^8.76)/g2^28 + (g2^24*t^8.801)/g1^4 + (3*g1^3*t^8.804)/g2^21 + (2*t^8.846)/(g1*g2^21) + (g2^31*t^8.846)/g1^3 + t^8.89/g2^14 + (g2^38*t^8.89)/g1^2 - (6*g1*t^8.935)/g2^7 + t^8.977/(g1^3*g2^7) + (2*g1^4*t^8.979)/g2^52 - t^4.27/(g2^2*y) - (g1*t^6.285)/(g2^17*y) - t^6.416/(g1*g2^3*y) - t^6.81/(g2^6*y) + t^7.16/(g2^16*y) - (g1*t^7.205)/(g2^9*y) + (g2^5*t^7.335)/(g1*y) + (g1*t^7.555)/(g2^19*y) + t^7.686/(g1*g2^5*y) + (g2^2*t^7.73)/y + (2*g1^2*t^7.95)/(g2^22*y) + (2*t^8.08)/(g2^8*y) + (2*g1*t^8.125)/(g2*y) + (2*g2^13*t^8.255)/(g1*y) - (g1^2*t^8.3)/(g2^32*y) - t^8.43/(g2^18*y) + (2*g1*t^8.475)/(g2^11*y) - t^8.561/(g1^2*g2^4*y) + (g2^10*t^8.65)/y + (g1^2*t^8.869)/(g2^14*y) - (t^4.27*y)/g2^2 - (g1*t^6.285*y)/g2^17 - (t^6.416*y)/(g1*g2^3) - (t^6.81*y)/g2^6 + (t^7.16*y)/g2^16 - (g1*t^7.205*y)/g2^9 + (g2^5*t^7.335*y)/g1 + (g1*t^7.555*y)/g2^19 + (t^7.686*y)/(g1*g2^5) + g2^2*t^7.73*y + (2*g1^2*t^7.95*y)/g2^22 + (2*t^8.08*y)/g2^8 + (2*g1*t^8.125*y)/g2 + (2*g2^13*t^8.255*y)/g1 - (g1^2*t^8.3*y)/g2^32 - (t^8.43*y)/g2^18 + (2*g1*t^8.475*y)/g2^11 - (t^8.561*y)/(g1^2*g2^4) + g2^10*t^8.65*y + (g1^2*t^8.869*y)/g2^14

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
2832	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{6}$	0.6933	0.8484	0.8171	[M:[0.971, 0.7285, 1.029, 0.6706, 0.971, 1.2715], q:[0.4871, 0.5419], qb:[0.4839, 0.7876], phi:[0.4249]]	t^2.012 + t^2.549 + 2*t^2.913 + t^3.077 + t^3.814 + t^3.824 + t^4.024 + t^4.178 + t^4.188 + t^4.197 + t^4.352 + t^4.362 + t^4.526 + t^4.561 + 2*t^4.925 + t^5.089 + t^5.099 + 2*t^5.462 + t^5.627 + 3*t^5.826 + t^5.99 - 3*t^6. - t^4.275/y - t^4.275*y	detail
2833	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}X_{1}$	0.6986	0.8555	0.8166	[X:[1.3672], M:[0.9731, 0.6867, 1.0269, 0.6328, 0.9731, 0.9045], q:[0.4523, 0.5747], qb:[0.5208, 0.7925], phi:[0.4149]]	t^2.06 + t^2.49 + t^2.714 + 2*t^2.919 + t^3.734 + t^3.958 + t^4.102 + t^4.12 + t^4.164 + t^4.326 + t^4.37 + t^4.531 + t^4.55 + t^4.693 + t^4.774 + 3*t^4.979 + t^5.203 + 2*t^5.409 + t^5.427 + t^5.633 + 2*t^5.838 - 3*t^6. - t^4.245/y - t^4.245*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

#	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
365	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$	0.7284	0.8958	0.8131	[M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]]	t^2.307 + t^2.456 + t^2.691 + 2*t^2.926 + t^3.276 + t^3.343 + t^4.07 + t^4.271 + t^4.42 + t^4.472 + t^4.615 + t^4.621 + t^4.688 + t^4.763 + t^4.77 + t^4.889 + t^4.912 + t^4.998 + t^5.038 + t^5.147 + 2*t^5.233 + t^5.306 + 2*t^5.382 + 2*t^5.616 + 2*t^5.851 + t^5.967 - 4*t^6. - t^4.345/y - t^4.345*y	detail