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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 =

Search for theories with rational R-charges and central 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
3361	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6215	0.7817	0.7951	[X:[1.3792], M:[0.6208, 1.1264, 0.7893, 1.0421, 0.9579, 0.7051], q:[0.7816, 0.5976], qb:[0.6131, 0.2605], phi:[0.4368]]	[X:[[36]], M:[[-36], [12], [-20], [4], [-4], [-28]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]]	1

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

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$	${}$	-1	t^2.115 + t^2.368 + t^2.574 + t^2.621 + t^2.874 + t^3.126 + t^3.379 + t^3.931 + t^4.138 + t^4.184 + t^4.23 + t^4.483 + t^4.69 + 2*t^4.736 + t^4.896 + t^4.942 + 2*t^4.989 + t^5.149 + t^5.195 + 3*t^5.242 + t^5.448 + 3*t^5.494 + t^5.701 + 2*t^5.747 - t^6. + t^6.253 + t^6.299 + t^6.346 + t^6.506 + t^6.552 + t^6.598 + t^6.712 + t^6.758 + 2*t^6.805 + 2*t^6.851 + t^7.058 + 3*t^7.104 + t^7.264 + t^7.31 + 3*t^7.357 + t^7.47 + 2*t^7.517 + t^7.563 + 5*t^7.61 + t^7.723 + t^7.77 + t^7.816 + 5*t^7.862 + t^8.022 + t^8.069 + 2*t^8.115 + 2*t^8.275 + t^8.322 + t^8.368 + t^8.414 + t^8.461 - 2*t^8.574 - t^8.621 + t^8.714 - 2*t^8.874 + 2*t^8.92 + 2*t^8.966 - t^4.31/y - t^6.426/y - t^6.678/y + t^7.483/y + t^7.69/y + t^7.736/y + (2*t^7.942)/y + (2*t^7.989)/y + (2*t^8.195)/y + (2*t^8.242)/y + t^8.448/y + (3*t^8.494)/y - t^8.541/y + t^8.701/y + (2*t^8.747)/y - t^8.794/y + t^8.954/y - t^4.31*y - t^6.426*y - t^6.678*y + t^7.483*y + t^7.69*y + t^7.736*y + 2*t^7.942*y + 2*t^7.989*y + 2*t^8.195*y + 2*t^8.242*y + t^8.448*y + 3*t^8.494*y - t^8.541*y + t^8.701*y + 2*t^8.747*y - t^8.794*y + t^8.954*y	t^2.115/g1^28 + t^2.368/g1^20 + g1^34*t^2.574 + t^2.621/g1^12 + t^2.874/g1^4 + g1^4*t^3.126 + g1^12*t^3.379 + t^3.931/g1^18 + g1^36*t^4.138 + t^4.184/g1^10 + t^4.23/g1^56 + t^4.483/g1^48 + g1^6*t^4.69 + (2*t^4.736)/g1^40 + g1^60*t^4.896 + g1^14*t^4.942 + (2*t^4.989)/g1^32 + g1^68*t^5.149 + g1^22*t^5.195 + (3*t^5.242)/g1^24 + g1^30*t^5.448 + (3*t^5.494)/g1^16 + g1^38*t^5.701 + (2*t^5.747)/g1^8 - t^6. + g1^8*t^6.253 + t^6.299/g1^38 + t^6.346/g1^84 + g1^16*t^6.506 + t^6.552/g1^30 + t^6.598/g1^76 + g1^70*t^6.712 + g1^24*t^6.758 + (2*t^6.805)/g1^22 + (2*t^6.851)/g1^68 + t^7.058/g1^14 + (3*t^7.104)/g1^60 + g1^40*t^7.264 + t^7.31/g1^6 + (3*t^7.357)/g1^52 + g1^94*t^7.47 + 2*g1^48*t^7.517 + g1^2*t^7.563 + (5*t^7.61)/g1^44 + g1^102*t^7.723 + g1^56*t^7.77 + g1^10*t^7.816 + (5*t^7.862)/g1^36 + g1^64*t^8.022 + g1^18*t^8.069 + (2*t^8.115)/g1^28 + 2*g1^72*t^8.275 + g1^26*t^8.322 + t^8.368/g1^20 + t^8.414/g1^66 + t^8.461/g1^112 - 2*g1^34*t^8.574 - t^8.621/g1^12 + t^8.714/g1^104 - (2*t^8.874)/g1^4 + (2*t^8.92)/g1^50 + (2*t^8.966)/g1^96 - t^4.31/(g1^6*y) - t^6.426/(g1^34*y) - t^6.678/(g1^26*y) + t^7.483/(g1^48*y) + (g1^6*t^7.69)/y + t^7.736/(g1^40*y) + (2*g1^14*t^7.942)/y + (2*t^7.989)/(g1^32*y) + (2*g1^22*t^8.195)/y + (2*t^8.242)/(g1^24*y) + (g1^30*t^8.448)/y + (3*t^8.494)/(g1^16*y) - t^8.541/(g1^62*y) + (g1^38*t^8.701)/y + (2*t^8.747)/(g1^8*y) - t^8.794/(g1^54*y) + (g1^46*t^8.954)/y - (t^4.31*y)/g1^6 - (t^6.426*y)/g1^34 - (t^6.678*y)/g1^26 + (t^7.483*y)/g1^48 + g1^6*t^7.69*y + (t^7.736*y)/g1^40 + 2*g1^14*t^7.942*y + (2*t^7.989*y)/g1^32 + 2*g1^22*t^8.195*y + (2*t^8.242*y)/g1^24 + g1^30*t^8.448*y + (3*t^8.494*y)/g1^16 - (t^8.541*y)/g1^62 + g1^38*t^8.701*y + (2*t^8.747*y)/g1^8 - (t^8.794*y)/g1^54 + g1^46*t^8.954*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
3837	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$	0.633	0.8015	0.7897	[X:[1.3941], M:[0.6059, 1.1314, 0.7811, 1.0438, 0.9562, 0.6935, 0.8686], q:[0.7828, 0.6112], qb:[0.6077, 0.2609], phi:[0.4343]]	t^2.08 + t^2.343 + 2*t^2.606 + t^2.617 + t^2.869 + t^3.131 + t^3.909 + t^4.161 + t^4.172 + t^4.182 + t^4.424 + 3*t^4.686 + t^4.697 + 3*t^4.949 + t^4.96 + t^4.97 + 5*t^5.212 + 2*t^5.222 + t^5.233 + 3*t^5.475 + t^5.485 + 2*t^5.737 + t^5.748 - 2*t^6. - t^4.303/y - t^4.303*y	detail
3835	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$	0.6255	0.7884	0.7933	[X:[1.385], M:[0.615, 1.1283, 0.7861, 1.0428, 0.9572, 0.7006, 0.9572], q:[0.7821, 0.6029], qb:[0.611, 0.2607], phi:[0.4358]]	t^2.102 + t^2.358 + t^2.591 + t^2.615 + 2*t^2.872 + t^3.385 + t^3.923 + t^4.155 + t^4.179 + t^4.204 + t^4.46 + t^4.692 + 2*t^4.717 + t^4.925 + t^4.949 + 3*t^4.973 + t^5.181 + t^5.206 + 3*t^5.23 + 2*t^5.462 + 3*t^5.487 + 3*t^5.743 - 2*t^6. - t^4.308/y - t^4.308*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
2827	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}X_{1}$	0.6011	0.7433	0.8087	[X:[1.3686], M:[0.6314, 1.1229, 0.7952, 1.041, 0.959], q:[0.7807, 0.5879], qb:[0.6169, 0.2602], phi:[0.4386]]	t^2.386 + t^2.544 + t^2.631 + t^2.877 + t^3.123 + t^3.369 + t^3.86 + t^3.947 + t^4.106 + t^4.193 + t^4.771 + t^4.843 + t^4.93 + t^5.017 + t^5.089 + t^5.176 + 2*t^5.263 + t^5.422 + 2*t^5.509 + t^5.667 + 2*t^5.754 - t^6. - t^4.316/y - t^4.316*y	detail