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
2043	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6587	0.832	0.7917	[X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.6705, 0.7424], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]]	[X:[[12]], M:[[-12], [4], [6], [-24], [36], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.011 + t^2.227 + t^2.335 + t^2.443 + t^2.659 + t^3.341 + t^3.449 + t^3.557 + t^3.665 + t^4.023 + t^4.239 + t^4.347 + 2*t^4.455 + 2*t^4.563 + 4*t^4.67 + 3*t^4.886 + t^4.994 + t^5.318 + t^5.352 + t^5.46 + 2*t^5.568 + 2*t^5.676 + 4*t^5.784 + 2*t^5.892 - t^6. + t^6.034 + t^6.108 + t^6.25 - t^6.324 + t^6.358 + 2*t^6.466 + 2*t^6.574 + 6*t^6.682 + 3*t^6.79 + 6*t^6.898 + 4*t^7.006 + 3*t^7.114 + 3*t^7.33 + t^7.364 - t^7.437 + t^7.472 + 2*t^7.58 + t^7.653 + 2*t^7.688 + 5*t^7.796 + 4*t^7.904 + t^7.977 + 4*t^8.011 + t^8.046 + 4*t^8.119 + t^8.227 + t^8.262 - 2*t^8.335 + t^8.37 - 2*t^8.443 + 2*t^8.478 - t^8.551 + 2*t^8.586 - 5*t^8.659 + 6*t^8.693 - t^8.767 + 3*t^8.801 + 8*t^8.909 - t^8.983 - t^4.222/y - t^6.233/y - t^6.449/y - t^6.557/y - t^6.881/y + t^7.239/y + t^7.347/y + t^7.455/y + (2*t^7.563)/y + (2*t^7.67)/y + t^7.778/y + (2*t^7.886)/y + (2*t^7.994)/y + t^8.102/y + t^8.21/y - t^8.245/y + t^8.352/y + t^8.568/y + (2*t^8.676)/y + (2*t^8.784)/y + t^8.892/y - t^4.222*y - t^6.233*y - t^6.449*y - t^6.557*y - t^6.881*y + t^7.239*y + t^7.347*y + t^7.455*y + 2*t^7.563*y + 2*t^7.67*y + t^7.778*y + 2*t^7.886*y + 2*t^7.994*y + t^8.102*y + t^8.21*y - t^8.245*y + t^8.352*y + t^8.568*y + 2*t^8.676*y + 2*t^8.784*y + t^8.892*y	g1^36*t^2.011 + g1^16*t^2.227 + g1^6*t^2.335 + t^2.443/g1^4 + t^2.659/g1^24 + g1^24*t^3.341 + g1^14*t^3.449 + g1^4*t^3.557 + t^3.665/g1^6 + g1^72*t^4.023 + g1^52*t^4.239 + g1^42*t^4.347 + 2*g1^32*t^4.455 + 2*g1^22*t^4.563 + 4*g1^12*t^4.67 + (3*t^4.886)/g1^8 + t^4.994/g1^18 + t^5.318/g1^48 + g1^60*t^5.352 + g1^50*t^5.46 + 2*g1^40*t^5.568 + 2*g1^30*t^5.676 + 4*g1^20*t^5.784 + 2*g1^10*t^5.892 - t^6. + g1^108*t^6.034 + t^6.108/g1^10 + g1^88*t^6.25 - t^6.324/g1^30 + g1^78*t^6.358 + 2*g1^68*t^6.466 + 2*g1^58*t^6.574 + 6*g1^48*t^6.682 + 3*g1^38*t^6.79 + 6*g1^28*t^6.898 + 4*g1^18*t^7.006 + 3*g1^8*t^7.114 + (3*t^7.33)/g1^12 + g1^96*t^7.364 - t^7.437/g1^22 + g1^86*t^7.472 + 2*g1^76*t^7.58 + t^7.653/g1^42 + 2*g1^66*t^7.688 + 5*g1^56*t^7.796 + 4*g1^46*t^7.904 + t^7.977/g1^72 + 4*g1^36*t^8.011 + g1^144*t^8.046 + 4*g1^26*t^8.119 + g1^16*t^8.227 + g1^124*t^8.262 - 2*g1^6*t^8.335 + g1^114*t^8.37 - (2*t^8.443)/g1^4 + 2*g1^104*t^8.478 - t^8.551/g1^14 + 2*g1^94*t^8.586 - (5*t^8.659)/g1^24 + 6*g1^84*t^8.693 - t^8.767/g1^34 + 3*g1^74*t^8.801 + 8*g1^64*t^8.909 - t^8.983/g1^54 - t^4.222/(g1^2*y) - (g1^34*t^6.233)/y - (g1^14*t^6.449)/y - (g1^4*t^6.557)/y - t^6.881/(g1^26*y) + (g1^52*t^7.239)/y + (g1^42*t^7.347)/y + (g1^32*t^7.455)/y + (2*g1^22*t^7.563)/y + (2*g1^12*t^7.67)/y + (g1^2*t^7.778)/y + (2*t^7.886)/(g1^8*y) + (2*t^7.994)/(g1^18*y) + t^8.102/(g1^28*y) + t^8.21/(g1^38*y) - (g1^70*t^8.245)/y + (g1^60*t^8.352)/y + (g1^40*t^8.568)/y + (2*g1^30*t^8.676)/y + (2*g1^20*t^8.784)/y + (g1^10*t^8.892)/y - (t^4.222*y)/g1^2 - g1^34*t^6.233*y - g1^14*t^6.449*y - g1^4*t^6.557*y - (t^6.881*y)/g1^26 + g1^52*t^7.239*y + g1^42*t^7.347*y + g1^32*t^7.455*y + 2*g1^22*t^7.563*y + 2*g1^12*t^7.67*y + g1^2*t^7.778*y + (2*t^7.886*y)/g1^8 + (2*t^7.994*y)/g1^18 + (t^8.102*y)/g1^28 + (t^8.21*y)/g1^38 - g1^70*t^8.245*y + g1^60*t^8.352*y + g1^40*t^8.568*y + 2*g1^30*t^8.676*y + 2*g1^20*t^8.784*y + g1^10*t^8.892*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
3116	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}X_{2}$	0.4942	0.6013	0.8218	[X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429, 0.9524], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]]	t^2.286 + t^2.571 + t^2.857 + 2*t^3.429 + t^3.714 + 2*t^4.286 + 2*t^4.571 + t^5.143 + t^5.429 + 2*t^5.714 - t^6. - t^4.143/y - t^4.143*y	detail	{a: 339/686, c: 825/1372, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, M6: 20/21, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21}
3117	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{5}M_{6}$ + ${ }M_{4}X_{2}$	0.5279	0.6433	0.8206	[X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 1.0769, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]]	t^2.308 + t^2.538 + t^2.769 + t^3.231 + t^3.462 + t^3.692 + t^3.923 + t^4.154 + 2*t^4.615 + 3*t^5.077 + t^5.538 + t^5.769 - t^6. - t^4.154/y - t^4.154*y	detail	{a: 9279/17576, c: 11307/17576, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 14/13, M6: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13}

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
864	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$	0.6395	0.796	0.8033	[X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]]	t^2.047 + t^2.341 + t^2.439 + t^2.635 + t^3.365 + t^3.463 + t^3.561 + t^3.659 + t^3.757 + t^4.094 + t^4.388 + t^4.486 + t^4.584 + 3*t^4.682 + 2*t^4.878 + t^4.976 + t^5.271 + t^5.412 + t^5.51 + t^5.608 + t^5.706 + 4*t^5.804 + t^5.902 - t^6. - t^4.22/y - t^4.22*y	detail