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
3874	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6707	0.8463	0.7925	[X:[1.3285], M:[0.7174, 0.8092, 0.6715, 0.8551, 1.1449, 0.7633, 0.8092], q:[0.878, 0.4046], qb:[0.4505, 0.7404], phi:[0.3816]]	[X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8], [2]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$	${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$	-1	t^2.152 + 2*t^2.29 + 2*t^2.428 + t^2.565 + t^3.435 + t^3.848 + t^3.985 + t^4.304 + 2*t^4.442 + 5*t^4.58 + 5*t^4.717 + 6*t^4.855 + 2*t^4.993 + t^5.13 + t^5.587 + t^5.725 - t^6. + t^6.138 + 3*t^6.275 + 3*t^6.413 + t^6.457 + t^6.551 + 2*t^6.594 + 5*t^6.732 + 9*t^6.87 + 10*t^7.007 + 10*t^7.145 + 8*t^7.283 + 3*t^7.42 + t^7.696 + t^7.739 + t^7.833 + t^7.877 + t^7.971 + t^8.015 - 3*t^8.152 - 4*t^8.29 - 6*t^8.428 + t^8.609 + 5*t^8.703 + 2*t^8.747 + 6*t^8.84 + 5*t^8.884 + 3*t^8.978 - t^4.145/y - t^6.297/y - (2*t^6.435)/y - (2*t^6.572)/y + (2*t^7.442)/y + (3*t^7.58)/y + (7*t^7.717)/y + (5*t^7.855)/y + (3*t^7.993)/y - t^8.449/y - t^8.587/y - (3*t^8.725)/y - (2*t^8.862)/y - t^4.145*y - t^6.297*y - 2*t^6.435*y - 2*t^6.572*y + 2*t^7.442*y + 3*t^7.58*y + 7*t^7.717*y + 5*t^7.855*y + 3*t^7.993*y - t^8.449*y - t^8.587*y - 3*t^8.725*y - 2*t^8.862*y	t^2.152/g1^18 + (2*t^2.29)/g1^8 + 2*g1^2*t^2.428 + g1^12*t^2.565 + t^3.435/g1^12 + g1^18*t^3.848 + g1^28*t^3.985 + t^4.304/g1^36 + (2*t^4.442)/g1^26 + (5*t^4.58)/g1^16 + (5*t^4.717)/g1^6 + 6*g1^4*t^4.855 + 2*g1^14*t^4.993 + g1^24*t^5.13 + t^5.587/g1^30 + t^5.725/g1^20 - t^6. + g1^10*t^6.138 + 3*g1^20*t^6.275 + 3*g1^30*t^6.413 + t^6.457/g1^54 + g1^40*t^6.551 + (2*t^6.594)/g1^44 + (5*t^6.732)/g1^34 + (9*t^6.87)/g1^24 + (10*t^7.007)/g1^14 + (10*t^7.145)/g1^4 + 8*g1^6*t^7.283 + 3*g1^16*t^7.42 + g1^36*t^7.696 + t^7.739/g1^48 + g1^46*t^7.833 + t^7.877/g1^38 + g1^56*t^7.971 + t^8.015/g1^28 - (3*t^8.152)/g1^18 - (4*t^8.29)/g1^8 - 6*g1^2*t^8.428 + t^8.609/g1^72 + 5*g1^22*t^8.703 + (2*t^8.747)/g1^62 + 6*g1^32*t^8.84 + (5*t^8.884)/g1^52 + 3*g1^42*t^8.978 - t^4.145/(g1^4*y) - t^6.297/(g1^22*y) - (2*t^6.435)/(g1^12*y) - (2*t^6.572)/(g1^2*y) + (2*t^7.442)/(g1^26*y) + (3*t^7.58)/(g1^16*y) + (7*t^7.717)/(g1^6*y) + (5*g1^4*t^7.855)/y + (3*g1^14*t^7.993)/y - t^8.449/(g1^40*y) - t^8.587/(g1^30*y) - (3*t^8.725)/(g1^20*y) - (2*t^8.862)/(g1^10*y) - (t^4.145*y)/g1^4 - (t^6.297*y)/g1^22 - (2*t^6.435*y)/g1^12 - (2*t^6.572*y)/g1^2 + (2*t^7.442*y)/g1^26 + (3*t^7.58*y)/g1^16 + (7*t^7.717*y)/g1^6 + 5*g1^4*t^7.855*y + 3*g1^14*t^7.993*y - (t^8.449*y)/g1^40 - (t^8.587*y)/g1^30 - (3*t^8.725*y)/g1^20 - (2*t^8.862*y)/g1^10

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
5465	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{8}$	0.6507	0.8095	0.8039	[X:[1.3054], M:[0.7322, 0.8075, 0.6946, 0.8452, 1.1548, 0.7699, 0.8075, 1.2678], q:[0.864, 0.4038], qb:[0.4414, 0.7511], phi:[0.3849]]	2*t^2.31 + 2*t^2.423 + t^2.536 + t^3.464 + 2*t^3.803 + t^3.916 + 3*t^4.619 + 4*t^4.732 + 6*t^4.845 + 2*t^4.958 + t^5.071 + t^5.774 - 2*t^6. - t^4.155/y - t^4.155*y	detail
5466	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.691	0.8849	0.7809	[X:[1.3435], M:[0.7077, 0.8103, 0.6565, 0.8615, 1.1385, 0.759, 0.8103, 0.7077], q:[0.8871, 0.4051], qb:[0.4564, 0.7334], phi:[0.3795]]	2*t^2.123 + 2*t^2.277 + 2*t^2.431 + t^2.585 + t^3.415 + t^4.031 + 3*t^4.246 + 4*t^4.4 + 7*t^4.554 + 6*t^4.708 + 6*t^4.862 + 2*t^5.015 + t^5.169 + 2*t^5.539 + t^5.692 - 2*t^6. - t^4.138/y - t^4.138*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
3393	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$	0.6548	0.8185	0.8	[X:[1.3333], M:[0.7143, 0.8095, 0.6667, 0.8571, 1.1429, 0.7619], q:[0.881, 0.4048], qb:[0.4524, 0.7381], phi:[0.381]]	t^2.143 + 2*t^2.286 + t^2.429 + t^2.571 + t^3.429 + t^3.571 + t^3.857 + t^4. + t^4.286 + 2*t^4.429 + 4*t^4.571 + 3*t^4.714 + 4*t^4.857 + t^5. + t^5.143 + t^5.571 + 2*t^5.714 + t^5.857 - t^4.143/y - t^4.143*y	detail	{a: 55/84, c: 275/336, X1: 4/3, M1: 5/7, M2: 17/21, M3: 2/3, M4: 6/7, M5: 8/7, M6: 16/21, q1: 37/42, q2: 17/42, qb1: 19/42, qb2: 31/42, phi1: 8/21}