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
3062	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$	0.695	0.8825	0.7875	[M:[0.8422, 1.0789, 1.0, 1.1578, 0.6844, 0.8422, 0.6972], q:[0.3881, 0.7697], qb:[0.4541, 0.5459], phi:[0.4606]]	[M:[[-8], [4], [0], [8], [-16], [-8], [10]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{1}^{2}$	${}$	-2	t^2.053 + t^2.092 + 2*t^2.527 + t^2.802 + t^3. + t^3.237 + t^3.672 + t^3.71 + 2*t^4.107 + t^4.145 + 2*t^4.183 + t^4.382 + 2*t^4.58 + 2*t^4.618 + t^4.657 + t^4.855 + t^4.893 + 4*t^5.053 + t^5.092 + t^5.29 + 3*t^5.328 + t^5.527 + t^5.604 + 4*t^5.763 + t^5.802 - 2*t^6. + t^6.038 + 2*t^6.16 + 3*t^6.198 + 4*t^6.237 + t^6.275 + t^6.473 + t^6.512 + 4*t^6.633 + 2*t^6.672 + 4*t^6.71 + t^6.749 + 3*t^6.908 + 2*t^6.985 + 4*t^7.107 + 2*t^7.145 + 3*t^7.183 + 2*t^7.343 + 2*t^7.382 + 4*t^7.42 + t^7.459 + 3*t^7.58 + t^7.618 + t^7.695 + t^7.778 + 3*t^7.817 + 5*t^7.855 + 2*t^7.893 - t^8.053 - 2*t^8.092 + 2*t^8.13 + 3*t^8.213 + t^8.251 + 8*t^8.29 + 2*t^8.328 + 2*t^8.367 + t^8.405 + t^8.488 - 6*t^8.527 + 3*t^8.565 + t^8.604 + 4*t^8.686 + 5*t^8.725 + 7*t^8.763 - t^8.802 + 3*t^8.84 - t^4.382/y - t^6.435/y - t^6.473/y - t^6.908/y + t^7.145/y + (2*t^7.58)/y + (2*t^7.618)/y + (2*t^7.855)/y + t^7.893/y + (2*t^8.053)/y + t^8.092/y + (2*t^8.29)/y + (4*t^8.328)/y - t^8.488/y + t^8.527/y - t^8.565/y + t^8.725/y + (4*t^8.763)/y + (2*t^8.802)/y - t^8.962/y - t^4.382*y - t^6.435*y - t^6.473*y - t^6.908*y + t^7.145*y + 2*t^7.58*y + 2*t^7.618*y + 2*t^7.855*y + t^7.893*y + 2*t^8.053*y + t^8.092*y + 2*t^8.29*y + 4*t^8.328*y - t^8.488*y + t^8.527*y - t^8.565*y + t^8.725*y + 4*t^8.763*y + 2*t^8.802*y - t^8.962*y	t^2.053/g1^16 + g1^10*t^2.092 + (2*t^2.527)/g1^8 + g1^22*t^2.802 + t^3. + g1^4*t^3.237 + t^3.672/g1^14 + g1^12*t^3.71 + (2*t^4.107)/g1^32 + t^4.145/g1^6 + 2*g1^20*t^4.183 + t^4.382/g1^2 + (2*t^4.58)/g1^24 + 2*g1^2*t^4.618 + g1^28*t^4.657 + g1^6*t^4.855 + g1^32*t^4.893 + (4*t^5.053)/g1^16 + g1^10*t^5.092 + t^5.29/g1^12 + 3*g1^14*t^5.328 + t^5.527/g1^8 + g1^44*t^5.604 + (4*t^5.763)/g1^4 + g1^22*t^5.802 - 2*t^6. + g1^26*t^6.038 + (2*t^6.16)/g1^48 + (3*t^6.198)/g1^22 + 4*g1^4*t^6.237 + g1^30*t^6.275 + g1^8*t^6.473 + g1^34*t^6.512 + (4*t^6.633)/g1^40 + (2*t^6.672)/g1^14 + 4*g1^12*t^6.71 + g1^38*t^6.749 + (3*t^6.908)/g1^10 + 2*g1^42*t^6.985 + (4*t^7.107)/g1^32 + (2*t^7.145)/g1^6 + 3*g1^20*t^7.183 + (2*t^7.343)/g1^28 + (2*t^7.382)/g1^2 + 4*g1^24*t^7.42 + g1^50*t^7.459 + (3*t^7.58)/g1^24 + g1^2*t^7.618 + g1^54*t^7.695 + t^7.778/g1^46 + (3*t^7.817)/g1^20 + 5*g1^6*t^7.855 + 2*g1^32*t^7.893 - t^8.053/g1^16 - 2*g1^10*t^8.092 + 2*g1^36*t^8.13 + (3*t^8.213)/g1^64 + t^8.251/g1^38 + (8*t^8.29)/g1^12 + 2*g1^14*t^8.328 + 2*g1^40*t^8.367 + g1^66*t^8.405 + t^8.488/g1^34 - (6*t^8.527)/g1^8 + 3*g1^18*t^8.565 + g1^44*t^8.604 + (4*t^8.686)/g1^56 + (5*t^8.725)/g1^30 + (7*t^8.763)/g1^4 - g1^22*t^8.802 + 3*g1^48*t^8.84 - t^4.382/(g1^2*y) - t^6.435/(g1^18*y) - (g1^8*t^6.473)/y - t^6.908/(g1^10*y) + t^7.145/(g1^6*y) + (2*t^7.58)/(g1^24*y) + (2*g1^2*t^7.618)/y + (2*g1^6*t^7.855)/y + (g1^32*t^7.893)/y + (2*t^8.053)/(g1^16*y) + (g1^10*t^8.092)/y + (2*t^8.29)/(g1^12*y) + (4*g1^14*t^8.328)/y - t^8.488/(g1^34*y) + t^8.527/(g1^8*y) - (g1^18*t^8.565)/y + t^8.725/(g1^30*y) + (4*t^8.763)/(g1^4*y) + (2*g1^22*t^8.802)/y - t^8.962/(g1^26*y) - (t^4.382*y)/g1^2 - (t^6.435*y)/g1^18 - g1^8*t^6.473*y - (t^6.908*y)/g1^10 + (t^7.145*y)/g1^6 + (2*t^7.58*y)/g1^24 + 2*g1^2*t^7.618*y + 2*g1^6*t^7.855*y + g1^32*t^7.893*y + (2*t^8.053*y)/g1^16 + g1^10*t^8.092*y + (2*t^8.29*y)/g1^12 + 4*g1^14*t^8.328*y - (t^8.488*y)/g1^34 + (t^8.527*y)/g1^8 - g1^18*t^8.565*y + (t^8.725*y)/g1^30 + (4*t^8.763*y)/g1^4 + 2*g1^22*t^8.802*y - (t^8.962*y)/g1^26

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
4953	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$	0.6107	0.7669	0.7963	[X:[1.5], M:[0.75, 1.125, 1.0, 1.25, 0.5, 0.75, 0.8125], q:[0.4688, 0.7813], qb:[0.2813, 0.7188], phi:[0.4375]]	2*t^2.25 + t^2.438 + 2*t^3. + t^3.188 + t^3.375 + t^3.563 + t^4.125 + t^4.313 + 4*t^4.5 + t^4.688 + 2*t^4.875 + 3*t^5.25 + 3*t^5.438 + 4*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y	detail	{a: 10005/16384, c: 12565/16384, X1: 3/2, M1: 3/4, M2: 9/8, M3: 1, M4: 5/4, M5: 1/2, M6: 3/4, M7: 13/16, q1: 15/32, q2: 25/32, qb1: 9/32, qb2: 23/32, phi1: 7/16}
4957	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$	0.67	0.8344	0.803	[X:[1.348], M:[0.826, 1.087, 1.0, 1.174, 0.652, 0.826, 0.7175, 1.0215], q:[0.4023, 0.7718], qb:[0.4237, 0.5763], phi:[0.4565]]	t^2.153 + 2*t^2.478 + t^3. + t^3.064 + t^3.261 + t^3.586 + t^3.783 + t^3.912 + t^4.044 + 2*t^4.305 + t^4.369 + 2*t^4.631 + t^4.827 + 3*t^4.956 + t^5.153 + t^5.217 + t^5.414 + t^5.478 + t^5.542 + 3*t^5.739 - 2*t^6. - t^4.369/y - t^4.369*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
2014	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$	0.6744	0.8431	0.7999	[M:[0.8409, 1.0795, 1.0, 1.1591, 0.6819, 0.8409], q:[0.3892, 0.7699], qb:[0.4517, 0.5483], phi:[0.4602]]	t^2.046 + 2*t^2.523 + t^2.812 + t^3. + t^3.239 + t^3.665 + t^3.716 + t^3.903 + 2*t^4.091 + t^4.193 + t^4.381 + 2*t^4.568 + t^4.67 + t^4.858 + 4*t^5.046 + t^5.284 + 2*t^5.335 + t^5.523 + t^5.625 + 3*t^5.761 + t^5.949 - 2*t^6. - t^4.381/y - t^4.381*y	detail