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
3146	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$	0.6104	0.7697	0.793	[X:[1.5916], M:[0.4084, 1.2253, 0.7747, 0.8591, 1.0, 0.9578, 0.676], q:[0.9084, 0.6831], qb:[0.3169, 0.4578], phi:[0.4084]]	[X:[[1]], M:[[-1], [-3], [3], [-7], [0], [5], [-9]], q:[[-1], [2]], qb:[[-2], [5]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}M_{4}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	0	t^2.028 + t^2.324 + t^2.451 + t^2.577 + t^2.873 + t^3. + t^3.549 + t^3.676 + t^4.056 + t^4.099 + t^4.352 + t^4.479 + t^4.605 + t^4.648 + 2*t^4.775 + 3*t^4.901 + 2*t^5.028 + t^5.155 + t^5.197 + 2*t^5.324 + t^5.451 + t^5.577 + t^5.704 + t^5.747 + t^5.873 + t^6.084 + 2*t^6.127 + t^6.253 + t^6.38 + t^6.423 + t^6.506 + t^6.549 + t^6.633 + t^6.676 + t^6.803 + 3*t^6.929 + t^6.972 + 2*t^7.056 + t^7.182 + 2*t^7.225 + 5*t^7.352 + 3*t^7.479 + 2*t^7.605 + 2*t^7.648 + 2*t^7.732 + 3*t^7.775 + t^7.901 + t^8.071 + t^8.112 + 2*t^8.155 + 2*t^8.197 + t^8.281 - t^8.324 + t^8.408 + t^8.534 + t^8.62 + t^8.661 + 2*t^8.704 + 2*t^8.831 - 2*t^8.873 + 3*t^8.957 - t^4.225/y - t^6.253/y - t^6.676/y - t^6.803/y - t^7.099/y + (2*t^7.352)/y + t^7.479/y + t^7.605/y + t^7.648/y + (2*t^7.775)/y + (2*t^7.901)/y + (2*t^8.028)/y + (2*t^8.197)/y - t^8.281/y + (2*t^8.324)/y + (2*t^8.451)/y + (2*t^8.577)/y - t^8.831/y + (2*t^8.873)/y - t^4.225*y - t^6.253*y - t^6.676*y - t^6.803*y - t^7.099*y + 2*t^7.352*y + t^7.479*y + t^7.605*y + t^7.648*y + 2*t^7.775*y + 2*t^7.901*y + 2*t^8.028*y + 2*t^8.197*y - t^8.281*y + 2*t^8.324*y + 2*t^8.451*y + 2*t^8.577*y - t^8.831*y + 2*t^8.873*y	t^2.028/g1^9 + g1^3*t^2.324 + t^2.451/g1^2 + t^2.577/g1^7 + g1^5*t^2.873 + t^3. + g1^2*t^3.549 + t^3.676/g1^3 + t^4.056/g1^18 + g1^4*t^4.099 + t^4.352/g1^6 + t^4.479/g1^11 + t^4.605/g1^16 + g1^6*t^4.648 + 2*g1*t^4.775 + (3*t^4.901)/g1^4 + (2*t^5.028)/g1^9 + t^5.155/g1^14 + g1^8*t^5.197 + 2*g1^3*t^5.324 + t^5.451/g1^2 + t^5.577/g1^7 + t^5.704/g1^12 + g1^10*t^5.747 + g1^5*t^5.873 + t^6.084/g1^27 + (2*t^6.127)/g1^5 + t^6.253/g1^10 + t^6.38/g1^15 + g1^7*t^6.423 + t^6.506/g1^20 + g1^2*t^6.549 + t^6.633/g1^25 + t^6.676/g1^3 + t^6.803/g1^8 + (3*t^6.929)/g1^13 + g1^9*t^6.972 + (2*t^7.056)/g1^18 + t^7.182/g1^23 + (2*t^7.225)/g1 + (5*t^7.352)/g1^6 + (3*t^7.479)/g1^11 + (2*t^7.605)/g1^16 + 2*g1^6*t^7.648 + (2*t^7.732)/g1^21 + 3*g1*t^7.775 + t^7.901/g1^4 + g1^13*t^8.071 + t^8.112/g1^36 + (2*t^8.155)/g1^14 + 2*g1^8*t^8.197 + t^8.281/g1^19 - g1^3*t^8.324 + t^8.408/g1^24 + t^8.534/g1^29 + g1^15*t^8.62 + t^8.661/g1^34 + (2*t^8.704)/g1^12 + (2*t^8.831)/g1^17 - 2*g1^5*t^8.873 + (3*t^8.957)/g1^22 - t^4.225/(g1*y) - t^6.253/(g1^10*y) - t^6.676/(g1^3*y) - t^6.803/(g1^8*y) - (g1^4*t^7.099)/y + (2*t^7.352)/(g1^6*y) + t^7.479/(g1^11*y) + t^7.605/(g1^16*y) + (g1^6*t^7.648)/y + (2*g1*t^7.775)/y + (2*t^7.901)/(g1^4*y) + (2*t^8.028)/(g1^9*y) + (2*g1^8*t^8.197)/y - t^8.281/(g1^19*y) + (2*g1^3*t^8.324)/y + (2*t^8.451)/(g1^2*y) + (2*t^8.577)/(g1^7*y) - t^8.831/(g1^17*y) + (2*g1^5*t^8.873)/y - (t^4.225*y)/g1 - (t^6.253*y)/g1^10 - (t^6.676*y)/g1^3 - (t^6.803*y)/g1^8 - g1^4*t^7.099*y + (2*t^7.352*y)/g1^6 + (t^7.479*y)/g1^11 + (t^7.605*y)/g1^16 + g1^6*t^7.648*y + 2*g1*t^7.775*y + (2*t^7.901*y)/g1^4 + (2*t^8.028*y)/g1^9 + 2*g1^8*t^8.197*y - (t^8.281*y)/g1^19 + 2*g1^3*t^8.324*y + (2*t^8.451*y)/g1^2 + (2*t^8.577*y)/g1^7 - (t^8.831*y)/g1^17 + 2*g1^5*t^8.873*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
5004	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{7}$	0.5645	0.7129	0.7918	[X:[1.5625], M:[0.4375, 1.3125, 0.6875, 1.0625, 1.0, 0.8125, 0.9375], q:[0.9375, 0.625], qb:[0.375, 0.3125], phi:[0.4375]]	t^2.063 + t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + t^3.75 + t^3.938 + t^4.125 + t^4.5 + 2*t^4.688 + 2*t^4.875 + 2*t^5.063 + 3*t^5.25 + 2*t^5.438 + 2*t^5.625 + 3*t^5.813 + t^6. - t^4.313/y - t^4.313*y	detail	{a: 36993/65536, c: 46721/65536, X1: 25/16, M1: 7/16, M2: 21/16, M3: 11/16, M4: 17/16, M5: 1, M6: 13/16, M7: 15/16, q1: 15/16, q2: 5/8, qb1: 3/8, qb2: 5/16, phi1: 7/16}

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
2085	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$	0.5896	0.7288	0.809	[X:[1.5909], M:[0.4091, 1.2272, 0.7728, 0.8634, 1.0, 0.9547], q:[0.9091, 0.6819], qb:[0.3181, 0.4547], phi:[0.4091]]	t^2.319 + t^2.454 + t^2.59 + t^2.864 + t^3. + t^3.546 + t^3.681 + t^3.956 + t^4.091 + t^4.637 + 2*t^4.773 + 2*t^4.909 + t^5.044 + t^5.18 + t^5.183 + 2*t^5.319 + t^5.454 + t^5.728 + t^5.864 - t^4.227/y - t^4.227*y	detail