Landscape

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
46506	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$	0.5917	0.7504	0.7885	[X:[1.3825], M:[0.6175, 0.6867, 1.0, 1.0783], q:[0.7696, 0.6129], qb:[0.5438, 0.2304], phi:[0.4608]]	[X:[[6]], M:[[-6], [16], [0], [-4]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$	${}M_{4}\phi_{1}^{2}$	-1	t^2.06 + t^2.323 + t^2.53 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.705 + t^3.912 + t^4.12 + t^4.147 + t^4.382 + t^4.59 + 2*t^4.645 + t^4.825 + t^4.853 + 2*t^5.06 + t^5.088 + 2*t^5.295 + t^5.323 + 3*t^5.53 + t^5.558 + 2*t^5.765 + t^5.972 - t^6. + t^6.028 + t^6.18 + 2*t^6.235 + t^6.442 + 2*t^6.47 + t^6.65 + t^6.677 + 2*t^6.705 + t^6.885 + t^6.912 + 2*t^6.968 + 2*t^7.12 + t^7.147 + t^7.175 + 2*t^7.355 + t^7.382 + 2*t^7.41 + 3*t^7.59 + t^7.618 + t^7.645 + 3*t^7.825 + t^7.853 + t^7.88 + t^8.032 + t^8.06 + t^8.088 + t^8.115 + t^8.24 + 4*t^8.295 - 2*t^8.323 + 2*t^8.35 + t^8.502 + t^8.558 + t^8.71 + t^8.737 + 2*t^8.793 + t^8.945 + t^8.972 - t^4.382/y - t^6.442/y + t^7.382/y + t^7.59/y + t^7.825/y + t^7.853/y + t^8.06/y + t^8.088/y + (2*t^8.295)/y + (2*t^8.323)/y - t^8.502/y + (2*t^8.53)/y + t^8.558/y + (3*t^8.765)/y + t^8.793/y + t^8.972/y - t^4.382*y - t^6.442*y + t^7.382*y + t^7.59*y + t^7.825*y + t^7.853*y + t^8.06*y + t^8.088*y + 2*t^8.295*y + 2*t^8.323*y - t^8.502*y + 2*t^8.53*y + t^8.558*y + 3*t^8.765*y + t^8.793*y + t^8.972*y	g1^16*t^2.06 + t^2.323/g1^14 + g1^8*t^2.53 + g1^4*t^2.765 + t^3. + t^3.235/g1^4 + t^3.47/g1^8 + t^3.705/g1^12 + g1^10*t^3.912 + g1^32*t^4.12 + g1^6*t^4.147 + g1^2*t^4.382 + g1^24*t^4.59 + (2*t^4.645)/g1^28 + g1^20*t^4.825 + t^4.853/g1^6 + 2*g1^16*t^5.06 + t^5.088/g1^10 + 2*g1^12*t^5.295 + t^5.323/g1^14 + 3*g1^8*t^5.53 + t^5.558/g1^18 + 2*g1^4*t^5.765 + g1^26*t^5.972 - t^6. + t^6.028/g1^26 + g1^48*t^6.18 + (2*t^6.235)/g1^4 + g1^18*t^6.442 + (2*t^6.47)/g1^8 + g1^40*t^6.65 + g1^14*t^6.677 + (2*t^6.705)/g1^12 + g1^36*t^6.885 + g1^10*t^6.912 + (2*t^6.968)/g1^42 + 2*g1^32*t^7.12 + g1^6*t^7.147 + t^7.175/g1^20 + 2*g1^28*t^7.355 + g1^2*t^7.382 + (2*t^7.41)/g1^24 + 3*g1^24*t^7.59 + t^7.618/g1^2 + t^7.645/g1^28 + 3*g1^20*t^7.825 + t^7.853/g1^6 + t^7.88/g1^32 + g1^42*t^8.032 + g1^16*t^8.06 + t^8.088/g1^10 + t^8.115/g1^36 + g1^64*t^8.24 + 4*g1^12*t^8.295 - (2*t^8.323)/g1^14 + (2*t^8.35)/g1^40 + g1^34*t^8.502 + t^8.558/g1^18 + g1^56*t^8.71 + g1^30*t^8.737 + (2*t^8.793)/g1^22 + g1^52*t^8.945 + g1^26*t^8.972 - (g1^2*t^4.382)/y - (g1^18*t^6.442)/y + (g1^2*t^7.382)/y + (g1^24*t^7.59)/y + (g1^20*t^7.825)/y + t^7.853/(g1^6*y) + (g1^16*t^8.06)/y + t^8.088/(g1^10*y) + (2*g1^12*t^8.295)/y + (2*t^8.323)/(g1^14*y) - (g1^34*t^8.502)/y + (2*g1^8*t^8.53)/y + t^8.558/(g1^18*y) + (3*g1^4*t^8.765)/y + t^8.793/(g1^22*y) + (g1^26*t^8.972)/y - g1^2*t^4.382*y - g1^18*t^6.442*y + g1^2*t^7.382*y + g1^24*t^7.59*y + g1^20*t^7.825*y + (t^7.853*y)/g1^6 + g1^16*t^8.06*y + (t^8.088*y)/g1^10 + 2*g1^12*t^8.295*y + (2*t^8.323*y)/g1^14 - g1^34*t^8.502*y + 2*g1^8*t^8.53*y + (t^8.558*y)/g1^18 + 3*g1^4*t^8.765*y + (t^8.793*y)/g1^22 + g1^26*t^8.972*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
47055	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$	0.5846	0.7385	0.7916	[X:[1.3863], M:[0.6137, 0.6968, 1.0, 1.0758, 1.0758], q:[0.7689, 0.6174], qb:[0.5342, 0.2311], phi:[0.4621]]	t^2.09 + t^2.296 + t^2.545 + t^3. + 2*t^3.227 + t^3.455 + t^3.682 + t^3.932 + t^4.159 + t^4.181 + t^4.386 + 2*t^4.592 + t^4.636 + t^4.841 + 2*t^5.09 + t^5.296 + 2*t^5.318 + 2*t^5.523 + 2*t^5.545 + 2*t^5.773 + t^5.978 - 2*t^6. - t^4.386/y - t^4.386*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

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

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
46254	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	0.6248	0.8112	0.7701	[M:[0.7295, 0.7295, 1.0, 1.0164], q:[0.7541, 0.5164], qb:[0.5164, 0.2459], phi:[0.4918]]	2*t^2.188 + 2*t^2.287 + t^2.951 + t^3. + t^3.049 + t^3.099 + 2*t^3.762 + 3*t^4.377 + 4*t^4.475 + 6*t^4.574 + 2*t^5.139 + 4*t^5.238 + 4*t^5.287 + 2*t^5.336 + 2*t^5.386 + t^5.901 + 4*t^5.951 - 4*t^6. - t^4.475/y - t^4.475*y	detail